All Publications

GOOGLE SCHOLAR LINK: https://scholar.google.com/citations?user=UFc2S58AAAAJ&hl=it&oi=ao

 

Last update: 13 November 2022

2022

[336] E F Toro, M Celant, Q Zhang, C Contarino, N Agarwal, A A Linninger, L O Müller. Cerebrospinal fluid dynamics coupled to the global circulation in holistic setting: mathematical models, numerical methods and applications. International Journal for Numerical Methods in Biomedical Engineering. 2022.
https://doi.org/10.1002/cnm.3532.

[335] E. F. Toro, C. E. Castro, D. Vanzo and A. Siviglia. A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes. International Journal for Numerical Methods in Fluids. First published: 04 May 2022
https://doi.org/10.1002/fld.5099

[334] Annunziato Siviglia, Davide Vanzo and Eleuterio Toro. A splitting scheme for the coupled Saint Venant-Exner model. Advances in water resources. Volume 159, January 2022, 104062.
https://doi.org/10.1016/j.advwatres.2021.104062

[333] Christophe Chalons, Alessia Del Grosso and Eleuterio F. Toro. Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity. Journal of Computational Physics, Volume 457, 15 May 2022, 111071.
https://doi.org/10.1016/j.jcp.2022.111071

[332] Alessia Scoz, Laura Bertazzi and Eleuterio F. Toro. On well-posedness of a mathematical model for cerebrospinal fluid in the optic nerve sheath and the spinal subarachnoid space. Applied Mathematics and Computation. Volume 413, 15 January 2022, 126625
https://doi.org/10.1016/j.amc.2021.126625

[331] Montecinos GI, Santaca A, Celant M, Müller LO and Toro EF. ADER scheme with a simplified solver for the generalized Riemann problem and an average ENO reconstruction procedure. Application to blood flow. Computers & Fluids Volume 248, 15 November 2022, 105685
https://doi.org/10.1016/j.compfluid.2022.105685

[330] Beatrice Ghitti, Eleuterio Toro and Lucas O. Müller. Non-linear lump parameter models for blood flow simulation in network of vessels. Mathematical modelling and numerical analysis. ESAIM: M2AN. Volume 56, Number 5, September-October 2022. Page(s) 1579 – 1627 https://doi.org/10.1051/m2an/2022052

[329] Beatrice Ghitti, Pablo J. Blanco, Eleuterio F. Toro and Lucas O. Müller. Construction of hybrid 1D-0D networks for efficient and accurate blood flow simulations. International Journal for Numerical Methods in Fluids, 2022. DOI: 10.1002/fld.5149

[328] EF Toro and F Liang (Guest editors). Special Issue “Biofluids in Medicine: Models, Computational Methods and Applications” A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section “Biology and Symmetry/Asymmetry” 2022.

[327] Eleuterio Toro. Exiliado en Buckingham Palace. Por la Supervivencia de la Memoria Histórica (Spanish Edition). Amazon 2022. Versión impresa, 457 páginas. ISBN-13: 979- 8815103269 https://www.amazon.it/Libri-Eleuterio-Toro/s?rh=n%3A411663031%2Cp_27%3AEleuterio+Toro

2021

[326] Morena Celant, Eleuterio F. Toro & Lucas O. Müller. Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System. Symmetry, 2021; 13(10):1858. https://doi.org/10.3390/sym13101858

[325] Eleuterio Toro, Andrea Santaca, Gino Montecinos, Morena Celant and Lucas Müller. AENO: a novel reconstruction method in conjunction with ADER schemes for hyperbolic equations. Communications on Applied Mathematics and Computation. Published online 03 September 2021. https://doi.org/10.1007/s42967-021-00147-0

2020

[324] Eleuterio Toro. Exiliado en Buckingham Palace (Spanish Edition). Amazon 2020. ASIN: B08HFV8F1R https://www.amazon.it/Exiliado-en-Buckingham-Palace-Spanishebook/dp/B08HFV8F1R

[323] Alessandra Spilimbergo, Eleuterio F. Toro and Lucas O. Muller. One-dimensional blood flow with discontinuous properties and transport: mathematical analysis and numerical schemes. Communications in Computational Physics, July 2020. Under revision.

[322] E. F. Toro, L. O. Müller, A. Siviglia. Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates. Submitted to Computers and Fluids, 3rd February 2020.

[321] Christophe Chalons, Alessia Del Grosso and Eleuterio F. Toro. Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity. Journal of Computational Physics, submitted December 2019.

[320] Beatrice Ghitti, Christophe Berthon, Minh Hoang Le and Eleuterio F. Toro. A fully well-balanced scheme for the 1D blood flow equations with friction source term. Journal of Computational Physics. Volume 421, 15 November 2020, 109750.
https://doi.org/10.1016/j.jcp.2020.109750

[319] E. F. Toro, B. Saggiorato, S. Tokareva and A. Hidalgo. Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. Journal of Computational Physics. Volume 416, 1 September, 2020.
DOI: 10.1016/j.jcp.2020.109545

[318] Eleuterio F. Toro. The ADER path to high-order Godunov methods. In G. Demidenko, E. Romenski, E. F. Toro and M. Dumbser (editors). Continuum mechanics, applied mathematics and scientific computing: Godunov’s legacy- A liber
amicorum to Professor Godunov. Springer Verlag, 2020. Pages 359-366, 2020.

[317] Gennadii Demidenko, Eugene Romenski, Eleuterio F. Toro and Michael Dumbser. Continuum mechanics, applied mathematics and scientific computing: Godunov’s legacy- A liber amicorum to Professor Godunov. Springer Verlag, 2020.

2019

[316] Nivedita Agarwal, Christian Contarino and Eleuterio F. Toro. Neurofluids: a holistic approach to their physiology, interactive dynamics and clinical implications for neurological diseases. Veins and Lymphatics. Vol. 8:8470, 2019.

[315] M. Petrella, S. A. Tokareva and Eleuterio F. Toro. Uncertainty Quantification Methodology for Hyperbolic Systems with Application to Blood Flow in Arteries. Journal of Computational Physics. Vol. 386, pp: 405-427, 2019.
https://doi.org/10.1016/j.jcp.2019.02.013

[314] Eleuterio F. Toro, Q. Zhang, B. Thornber, A. Scoz and C. Contarino. A computational model for the dynamics of cerebrospinal fluid in the spinal subarachnoid space. ASME Journal of Biomechanical Engineering. Vol. 141(1). January 2019.
doi: 10.1115/1.4041551.

[313] Eleuterio F. Toro. The HLLC Riemann Solver: a Review. Shock Waves. Under review, 2019.

[312] R. Demattè, V. A. Titarev, G. I. Montecinos and Eleuterio F. Toro. ADER methods for hyperbolic equations with a time-reconstruction solver for the generalized Riemann problem. The scalar case. Communications on Applied Mathematics and Computation. Submitted 2019.

 

2018

[311] Eleuterio F. Toro, F. Borgioli, Q. Zhang, C. Contarino, L. O. Müller and A. Bruno. Inner-ear circulation in humans is disrupted by extracranial venous outflow strictures: implications for Meniere’s disease. Veins and Lymphatics. Volume 7:7156, 2018.
DOI: 10.4081/vl.2018.7156

[310] N. Agarwal, C. Contarino, L. Bertazzi, N. Limbucci, G. Rossi and Eleuterio F. Toro. Intracranial fluid dynamics changes in idiopathic intracranial hypertension: pre and post lumbar puncture, medical and stent placement. Current Neurovascular Research. Vol. 15, pp: 1-9, 2018.
doi: 10.2174/1567202615666180528113616.

[309] Christian Contarino and Eleuterio F. Toro. A one-dimensional mathematical model of collecting lymphatics coupled with an electro-fluid-mechanical contraction model and valve dynamics. Biomechanics and Modelling Mechanobiology. Vol. 17, No 6, pp:1687-1714. July 2018.
DOI: 10.1007/s10237-018-1050-7

[308] Angiolo Farina, Lorenzo Fusi, Andro Mikelic, Giuseppe Saccomandi, Adelia Sequeira and Eleuterio F. Toro. Non-Newtonian Fluid Mechanics and Complex Flows. Lecture Notes in Mathematics 2212. Springer 2018.
ISBN 978-3-319-74796-5

[307] Eleuterio F. Toro. Lectures on hyperbolic equations and their numerical approximation. In book: Non-Newtonian Fluid Mechanics and Complex Flows, pp: 91- 169. Lecture Notes in Mathematics, Vol. 2212. Farina A, Mikelic A, Rosso F (Editors), Springer, 2018.
DOI: 10.1007/978-3-319-74796-5_3

[306] Francesca Bellamoli, Lucas O. Müller and Eleuterio F. Toro. A numerical method for junctions in shallow-water channel networks. Applied Mathematics and Computation. Vol. 337, pp: 190-213, 2018.
https://doi.org/10.1016/j.amc.2018.05.034

 

2017

[305] M. Strocchi, C. Contarino, Q. Zhang, R. Bonmassari and Eleuterio F. Toro. A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system. Journal of Applied Mathematics and Computation. Vol. 300, pp: 21-39, 2017.
https://doi.org/10.1016/j.amc.2016.11.028

[304] Chiara Spiller, Eleuterio F. Toro, M. Elena Vázquez-Cendón and Christian Contarino. On the Riemann problem for blood flow in human veins, including collapse. Journal of Applied Mathematics and Computation. Vol. 303, pp: 178-189, 2017.
https://doi.org/10.1016/j.amc.2017.01.024

[303] Mirko Tessari, Andrea Ciorba, Lucas Omar Müller, Qinghui Zhang, Mariapaola Cristini, Erica Menegatti, Manuela Mazzoli, Stefano Pelucchi and Eleuterio F. Toro. Jugular valve function and petrosal sinuses pressure. A computational model applied to sudden sensorineural hearing loss. Veins and Lymphatics. Vol. 6:6707, pp: 44-49, 2017.
doi:10.4081/vl.2017.6707

[302] Laura Facchini, Alberto Bellin and Eleuterio F. Toro. A time-dependent multilayered mathematical model of filtration and solute exchange, the revised Starling principle and the Landis experiments. Veins and Lymphatics. Vol. 6:6849, pp: 101- 112, 2017.
DOI https://doi.org/10.4081/vl.2017.6849

[301] J. Cheng, Y. Jia, S. Jiang, Eleuterio F. Toro and Yu, M. A Second-Order CellCentered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows. Communications in Computational Physics, Vol. 22(5), pp: 1224-1257, 2017.
doi:10.4208/cicp.OA-2016-0173

[300] S. Busto, J. L. Ferrín, Eleuterio F. Toro, M. E. Vázquez-Cendón. A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. Journal of Computational Physics. Vol. 353, pp: 169-192, 2017.
DOI: 10.1016/j.jcp.2017.10.004

[299] A. Caiazzo, F. Caforio, G. I. Montecinos, L. O. Müller, P. J. Blanco and Eleuterio F. Toro. Assessment of unscented reduced-order Kalman filter for parameter identification in one-dimensional blood flow models using experimental data. International Journal for Numerical Methods in Biomedical Engineering. 2017; e2843;
DOI 10.1002/cnm.2843

 

2016

[298] Eleuterio F. Toro. Brain Venous Haemodynamics, Neurological Diseases and Mathematical Modelling. A Review. Applied Mathematics and Computation. Vol. 272, pp: 542-579, 2016.
doi:10.1016/j.amc.2015.06.066

[297] L. O. Müller, Eleuterio F. Toro, E. M. Haacke and D. Utriainen. Impact of CCSVI on cerebral haemodynamics: a mathematical study using MRI angiographic and flow data. Phlebology, Vol. 31, No 5, pp: 305-324, 2016.
doi: 10.1177/0268355515586526.

[296] Christian Contarino, Gino I. Montecinos, Raul Borsche, Jochen Kall and Eleuterio F. Toro. Junction-Generalized Riemann Problem for Stiff Hyperbolic Balance Laws in Networks: an Implicit Solver and ADER Schemes. Journal of Computational Physics. Vol. 315, pp: 409- 433, 2016.
https://doi.org/10.1016/j.jcp.2016.03.049

[295] Dinshaw S. Balsara, Gino Montecinos, and Eleuterio F. Toro. Exploring Various Flux Vector Splittings for the Magnetohydrodynamic System. Journal of Computational Physics, Vol. 311, pp: 1-21, 2016.
https://doi.org/10.1016/j.jcp.2016.01.029

[294] Laura Facchini, Alberto Bellin and Eleuterio F. Toro. Modeling Loss of Microvascular Wall Homeostasis During Glycocalyx Deterioration and Hypertension that Impacts Plasma Filtration and Solute Exchange. Current Neurovascular Research, Vol. 13, No 2, pp: 147- 155, 2016.
DOI: 10.2174/1567202613666160223121415

[293] G. I. Montecinos, J. C. Lopez, R. Lecaros, J. Ortega and Eleuterio F. Toro. An ADER-type scheme for a class of equations arising from the water-wave theory. Computers and Fluids. Vol. 132, pp: 76-93, 2016.
https://doi.org/10.1016/j.compfluid.2016.04.012

[292] Davide Vanzo, Annunziato Siviglia and Eleuterio F. Toro. Pollutant transport by shallow water equations on unstructured meshes: hyperbolization of the model and numerical solution via a novel flux splitting scheme. Journal of Computational Physics. Vol. 321, pp: 1-20, 15 September 2016.
DOI: 10.1016/j.jcp.2016.05.023

[291] Svetlana Tokareva and Eleuterio F. Toro. A flux vector splitting method for the Baer-Nunziato equations of compressible two-phase flow. Journal of Computational Physics. Vol. 323, pp: 45-74, 2016.
DOI: 10.1007/978-3-319-57394-6_14

[290] Saray Bustos, M. Elena Vázquez-Cendón and Eleuterio F. Toro. Design and analysis of ADER- type schemes for model advection-diffusion-reaction equations. Journal of Computational Physics. Vol. 327, pp: 553-575, 2016.
https://doi.org/10.1016/j.jcp.2016.09.043

[289] Eleuterio F. Toro. The Riemann Problem: Solvers and Numerical Fluxes. Handbook of Numerical Analysis Volume 17. Handbook of Numerical Methods for Hyperbolic Problems. Basic and Fundamental Issues. Chapter 2, pages 19-54. Remi Abgrall and Chi-Wang Shu (Editors), Elsevier, 2016.
DOI: 10.1016/bs.hna.2016.09.015

 

2015

[288] Eleuterio F. Toro, Cristóbal Castro and Bok Jick Lee. A novel numerical flux for the 3D Euler equations with general equation of state. Journal of Computational Physics. Vol. 303, pp: 80-94, 2015.
DOI: 10.1016/j.jcp.2015.09.037

[287] Eleuterio F. Toro and Gino I. Montecinos. Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. Journal of Computational Physics. Vol. 303, pp: 146-172, 2015.
DOI: 10.1016/j.jcp.2015.09.039

[286] Eleuterio F. Toro, Lucas O. Müller, Mariapaola Cristini, Erica Menegatti and Paolo Zamboni. Impact of Jugular Vein Valve Function on Cerebral Venous Haemodynamics. Current Neurovascular Research. Vol. 12, No. 4, pp: 384-397, 2015.
DOI: 10.2174/1567202612666150807112357

[285] Jun-Bo Cheng, Eleuterio F. Toro, Song Jiang, Ming Yu. A second-order cellcentered Lagrangian scheme for one-dimensional elastic-plastic problems. Computers and Fluids. Vol. 122, pp: 136-152, 2015.
DOI: 10.1016/j.compfluid.2015.08.029

[284] Francesco Sisini, Eleuterio F. Toro, Mauro Gambaccini and Paolo Zamboni. The oscillating component of the internal jugular vein flow: the overlooked element of the cerebral circulation. Behavioural Neurology. Special Issue on: Blood and Fluid Circulation of the Brain: The Neurovascular Component of Neurodegeneration. Vol. 2015, Article ID 170756, 9 pages, 2015.
doi: 10.1155/2015/170756

 

2014

[283] Eleuterio F. Toro and Gino I. Montecinos. Advection-diffusion-reaction equations: hyperbolisation and high-order ADER discretizations. SIAM Journal of Scientific Computing. Vol. 36, No. 5, pp: A2423-A2457, 2014.
https://doi.org/10.1137/130937469

[282] Gino I. Montecinos, Lucas O. Müller and Eleuterio F. Toro. Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. Journal of Computational Physics. Vol. 266, pp: 101123, 1 June, 2014.
https://doi.org/10.1016/j.jcp.2014.02.013

[281] Lucas O. Müller and Eleuterio F. Toro. Enhanced global mathematical model for studying cerebral venous blood flow. Journal of Biomechanics. Vol. 47, Issue 13, 17 October 2014, pp: 3361-3372.
https://doi.org/10.1016/j.jbiomech.2014.08.005

Also published as Pre-print. Isaac Newton Institute for Mathematical Sciences,
University of Cambridge, UK. http://www.newton.ac.uk/preprints2014.html

[280] Lucas O. Müller and Eleuterio F. Toro. A global multi-scale model for the human circulation with emphasis on the venous system. International Journal for Numerical Methods in Biomedical Engineering. Vol. 30, Issue 7, pp: 681-725, July 2014.
DOI:10.1002/cnm.2622

[279] Laura Facchini, Alberto Bellin and Eleuterio F. Toro. A model for filtration and macromolecule transport across capillary walls. Microvascular Research. Vol. 94, pp: 52-63, 2014.
DOI:10.1016/j.mvr.2014.05.001

[278] Alfonso Caiazzo, Gino I. Montecinos, Lucas O. Müller, E. Mark Haacke and Eleuterio F. Toro. Computational Haemodynamics in Stenotic Internal Jugular Veins. Journal of Mathematical Biology. Vol. 7, No 4, pp: 745-72, 2015.
doi: 10.1007/s00285-014-0778-7.

Also published on line as pre-print: WIAS Institute, Berlin, Germany. http://www.wiasberlin.de/publications/wias-publ/run

[277] Arturo Hidalgo, Lourdes Tello and Eleuterio F. Toro. Numerical and analytical study of an atherosclerosis inflammatory disease model. Journal of Mathematical Biology. Vol. 68, pp: 1785-1814, 2014.
DOI 10.1007/s00285-013-0688-0.

[276] Cristóbal E. Castro and Eleuterio F. Toro. Roe-type Riemann solver for general hyperbolic systems. International Journal for Numerical Methods in Fluids. Vol. 75, No 7, pp: 467-486, July 2014.
DOI: 10.1002/fld.3903.

[275] Gino I. Montecinos and Eleuterio F. Toro. Reformulations for general advectiondiffusion-reaction equations and locally implicit ADER schemes. Journal of Computational Physics. Vol. 275, 15 October, pp: 415-442, 2014.
https://doi.org/10.1016/j.jcp.2014.06.018

[274] E. Han, G. Warneche, Eleuterio F. Toro and A. Siviglia. On Riemann solutions to weakly hyperbolic systems: Part 1. Modelling subcritical flows in arteries (Submitted).
Also published as Pre-print. Isaac Newton Institute for Mathematical Sciences,
University of Cambridge, UK. NPA-NI15003
https://www.newton.ac.uk/science/publications/preprints

[273] E. Han, G. Warneche, Eleuterio F. Toro and A. Siviglia A. On Riemann solutions to weakly hyperbolic systems: Part 2. Modelling supercritical flows in arteries. Submitted.
Also published as Pre-print. Isaac Newton Institute for Mathematical Sciences,
University of Cambridge, UK. NPA-NI15004
https://www.newton.ac.uk/science/publications/preprints

 

2013

[272] Lucas O. Müller and Eleuterio F. Toro. Well-balanced high-order solver for blood flow in networks of vessels with variable properties. International Journal for Numerical Methods in Biomedical Engineering. Vol. 29, pp: 1388-1411, 2013.
DOI: 10.1002/cnm.2580

[271] Lucas O. Müller, Carlos Parés, Eleuterio F. Toro. Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Journal of Computational Physics. Vol. 242, pp: 53-85, 2013.
https://doi.org/10.1016/j.jcp.2013.01.050

[270] Eleuterio F. Toro and A. Siviglia. Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Communications in Computational Physics. Vol. 13, Number 2, pp: 361-385, Feb. 2013.
DOI: 10.4208/cicp.210611.240212a

[269] Bok Jik Lee, Eleuterio F. Toro, Cristóbal E. Castro and Nikos Nikiforakis. Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. Journal of Computational Physics. Vol. 246, pp: 165-183, August 2013.
https://doi.org/10.1016/j.jcp.2013.03.046

[268] Jun-Bo Cheng, Eleuterio F. Toro, Song Jiang and Wei-Jun Tang. A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. Journal of Computational Physics. Vol. 251, pp: 53-80, 15 October 2013.
DOI: 10.1016/j.jcp.2013.05.034

[267] Annunziato Siviglia, Guglielmo Stecca, Davide Vanzo, Guido Zolezzi, Eleuterio F. Toro and Marco Tubino. Numerical modelling of two-dimensional morphodynamics with applications to river bars and bifurcations. Advances in Water Resources. Volume 52, pp: 243-260, 2013.
https://doi.org/10.1016/j.advwatres.2012.11.010

[266] Riadh Ata, Sara Pavan, Sofiane Khelladi and Eleuterio F. Toro. A Weighted Average Flux (WAF) scheme applied to shallow water equations for real-life applications. Advances in Water Resources. Vol. 62, pp:155-172, 2013.
https://doi.org/10.1016/j.advwatres.2013.09.019

[265] E F Toro. The Riemann problem in computational science. Numerical Methods for Hyperbolic Equations: Theory and Applications. An international conference to honour Professor E. F. Toro. M. E. Vázquez-Cendón, A. Hidalgo, P. García-Navarro and L. Cea (editors). Pages 87-106. CRC Press, Taylor-Francis Group.
ISBN 978-0-415-62150-2, 2013.

[264] L Facchini, A Bellin and E F Toro. A simple model of filtration and macromolecule transport through microvascular walls. Numerical Methods for Hyperbolic Equations: Theory and Applications. An international conference to honour Professor E. F. Toro. M. E. Vázquez-Cendón, A. Hidalgo, P. García-Navarro and L. Cea (editors), pp: 339-346. CRC Press, Taylor-Francis Group,
ISBN 978-0-415-62150-2, 2013.

[263] L O Müller, G I Montecinos and E F Toro. Some issues in modelling venous haemodynamics. Numerical Methods for Hyperbolic Equations: Theory and Applications. An international conference to honour Professor E. F. Toro. M. E. Vázquez-Cendón, A. Hidalgo, P. García-Navarro and L. Cea (editors), pp: 347-354. CRC Press, Taylor-Francis Group.
ISBN 978-0-415-62150-2, 2013.

[262] M. E. Vázquez-Cendón. A framework for flux-vector splitting schemes. Numerical Methods for Hyperbolic Equations: Theory and Applications. An international conference to honour Professor E. F. Toro. M. E. Vázquez-Cendón, A. Hidalgo, P. García-Navarro and L. Cea (editors). Pages 379-387. CRC Press, Taylor-Francis Group.
ISBN 978-0-415-62150-2, 2013.

 

2012

[261] G. I. Montecinos and Eleuterio F. Toro. Solver for the Generalized Riemann Problem for Balance Laws with Stiff Source Terms: the Scalar Case. Hyperbolic Problems. Theory, Numerics and Applications. Tatsien Li and Song Jian (Editors). Vol. 2, pp: 576-583. Higher Education Press. 2012.
DOI: 10.1142/9789814417099_0059

[260] G Stecca, Eleuterio F. Toro and A Siviglia. A finite volume upwind-biased centred scheme for hyperbolic systems of conservation laws. Applications to shallow water equations. Communications in Computational Physics. Vol. 12, No. 4, pp. 1183- 1214, 2013.
DOI: 10.4208/cicp.180511.071211a

[259] Eleuterio F. Toro and M. E. Vázquez-Cendón. Flux splitting schemes for the Euler equations. Computers and Fluids. Vol. 70, pp: 1-12, 2012.
https://doi.org/10.1016/j.compfluid.2012.08.023

[258] G. I. Montecinos, C. E. Castro, M. Dumbser and Eleuterio F. Toro. Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Journal of Computational Physics. Vol. 231, pp: 6472-6494, 2012.
DOI: http://dx.doi.org/10.1016/j.jcp.2012.06.011

[257] C. E. Castro, Eleuterio F. Toro and M. Käser. ADER scheme on unstructured meshes for shallow water: simulation of tsunami waves. Geophysics Journal International. Vol. 189, pp:1505-1520, 2012.
doi: 10.1111/j.1365-246X.2012.05471.x

[256] C. E. Zambra, M. Dumbser, Eleuterio F. Toro and N. O. Moraga. A novel numerical method of high order accuracy for flow in unsaturated porous media. International Journal for Numerical Methods in Engineering. Vol. 89, No 2, pp: 227– 240, 2012.
https://doi.org/10.1002/nme.3241

[255] V. Casulli, M. Dumbser and Eleuterio F. Toro. Semi-implicit numerical modelling of axially symmetric flows in compliant arterial systems. International Journal for Numerical Methods in Biomedical Engineering. Volume 28, Issue 2, pp: 257-272, 2012.
DOI: 10.1002/cnm.1464.

 

2011

[254] Eleuterio F. Toro. High-order accuracy: monotonicity and non-linear methods. Lecture Notes on Numerical Methods for Hyperbolic Equations: Short Course Book. Elena Vázquez-Cendón (Editor), pp: 53-83. CRC Press, Taylor and Francis Group, 2011.

[253] Eleuterio F. Toro and A Siviglia. Simplified blood flow model with discontinuous vessel properties: analysis and exact solutions. Modelling Physiological Flows, pp:19- 39. Editors: D. Ambrosi, A. Quarteroni and G. Rozza. Springer-Verlag, 2011.
ISBN 978-88-470-1934-8.

[252] Alberto Canestrelli and Eleuterio F. Toro. Restoration of the contact surface in FORCE-type centred schemes I: homogeneous two-dimensional shallow water equations. Advances in Water Resources. Volume 47, pp: 88-99, 2012.

[251] Alberto Canestrelli and Eleuterio F. Toro. Restoration of the contact surface in FORCE-type centred schemes II: non-conservative one- and two-layer twodimensional shallow water equations. Advances in Water Resources. Volume 47, pp: 76-87, 2012.

[250] Carlos E. Zambra, Michael Dumbser, Eleuterio F. Toro, Nelson Moraga. Finite Volume Schemes of High Order of Accuracy in Time and Space for Flows in Unsaturated Porous Media. International Journal for Numerical Methods in Engineering. Vol. 89, Issue 2, pp: 227-240, 2012.

[249] B. Tian, Eleuterio F. Toro and C. E. Castro. A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver. Computers and Fluids, Vol. 46, pp: 122-132, 2011.
https://doi.org/10.1016/j.compfluid.2011.01.038

[248] Michael Dumbser and Eleuterio Toro. A simple extension of the Osher Riemann solver to general non-conservative hyperbolic systems. Journal of Scientific Computing. Vol. 48, Issue1-3, pp: 70-88, 2011.
DOI 10.1007/s10915-010-9400-3

[247] Michael Dumbser and Eleuterio F. Toro. On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Communications in Computational Physics. Vol. 10, pp: 635-671, 2011.
DOI: 10.4208/cicp.170610.021210a

[246] Eleuterio F. Toro and M. Dumbser. Reformulated Osher-type Riemann solver. Computational Fluid Dynamics. Springer-Verlag, Alexander Kuzmin (editor), pp: 131- 136, 2011

[245] S. A. Tokareva and Eleuterio F. Toro. HLLC-type Riemann solver for the BaerNunziato equations of compressible two-phase flow. Computational Fluid Dynamics. Springer-Verlag, Alexander Kuzmin (editor), pp: 99-104, 2011.

[244] G. Stecca, Eleuterio F. Toro and A. Siviglia. Upwind-biased FORCE schemes on unstructured meshes with applications to free-surface shallow flows. In Proceedings of the First European IAHR Congress, Edinburgh, UK, May 4-6 2010.

 

2010

[243] Eleuterio F. Toro. Riemann solvers in aerospace engineering. In Encyclopedia of Aerospace Engineering. R Blockey and W Shyy (Editors). John Wiley and Sons Ltd, Chichester, UK, pp: 525-532, 2010.
DOI: 10.1002/9780470686652.eae050

[242] Eleuterio F. Toro and M. Dumbser. ADER schemes for time-dependent PDEs: review and applications to astrophysics. Keynote invited paper. Numerical Modelling of Space Plasma Flows. ASTRONUM-2009. N V Pogorelov, E Audit and G P Zank (editors). Astronomical Society of the Pacific Conference Series, Vol. 429, pp: 281- 293, 2010.

[241] S. A. Tokareva and Eleuterio F. Toro. HLLC-type Riemann solver for the BaerNunziato equations of compressible two-phase flow. Journal of Computational Physics. Vol. 229, pp: 3573-3604, 2010.
https://doi.org/10.1016/j.jcp.2010.01.016

[240] Guglielmo Stecca, Annunziato Siviglia and Eleuterio F. Toro. Upwind-biased FORCE schemes with applications to free-surface shallow flows. Journal of Computational Physics. Vol. 229, pp: 6362-6380, 2010.
DOI: 10.1016/j.jcp.2010.05.001

[239] Eugene Romenski, Dimitris Drikakis and Eleuterio F. Toro. Conservative models and numerical methods for compressible two-phase flow. Journal of Scientific Computing. Vol. 42, pp: 68-95, 2010.
DOI 10.1007/s10915-009-9316-y.

[238] Giovanna Grosso, Matteo Antuono and Eleuterio F. Toro. The Riemann problem for the dispersive non-linear shallow water equations. Communications in Computational Physics. Vol. 7, No. 1, pp: 64-102, 2010.
doi: 10.4208/cicp.2009.08.181

[237] A M Canestrelli, M Dumbser, A Siviglia and Eleuterio F. Toro. Well-balanced high-order centered schemes on unstructured meshes for shallow water equations with fixed and mobile bed. Advances in Water Resources. Vol. 33, No. 3, pages 291- 303. 2010.
DOI: 10.1016/j.advwatres.2009.12.006

[236] Michael Dumbser, Manuel Castro, Carlos Parés, Eleuterio F. Toro and Arturo Hidalgo. FORCE schemes on unstructured meshes II: non-conservative hyperbolic systems. Computer Methods in Applied Mechanics and Engineering. Vol. 199, Issue 9-12, pp: 625-647, 2010.
https://doi.org/10.1016/j.cma.2009.10.016

[235] A. Ferrari, L. Fraccarollo, M. Dumbser, Eleuterio F. Toro and A. Armanini. Threedimensional flow evolution after a dam break. Journal of Fluid Mechanics. Vol. 663, pp: 456-477, 2010.
https://doi.org/10.1017/S0022112010003599

[234] A. Ferrari, M. Dumbser, Eleuterio F. Toro and A. Armanini. A new 3D parallel SPH scheme for free-surface flows. In book High Performance Computing on Vector Systems. Springer-Verlag, pp: 179-188, 2010.

 

2009

[233] Eleuterio F. Toro. Riemann solvers and numerical methods for fluid dynamics. A practical introduction. Third edition. Springer-Verlag, Berlin Heidelberg, 2009. Book (724 pages).
ISBN 978-3-540-25202-3, 2009.
http://link.springer.com/book/10.1007%2Fb79761.
Remarks: Since its online publication on March 30, 2009, there has been a total of 120,868 chapter downloads for this eBook on SpringerLink, upto the end of 2016. This means this book was one of the top 25% most downloaded eBooks in the relevant SpringerLink eBook Collection in 2016.

[232] Eleuterio F. Toro, A. Hidalgo and M. Dumbser. FORCE schemes on unstructured meshes I: conservative hyperbolic systems. Journal of Computational Physics. Vol. 228, pp: 3368-3389, 2009.
https://doi.org/10.1016/j.jcp.2009.01.025

[231] Eleuterio F. Toro and Arturo Hidalgo. ADER finite volume schemes for non-linear reaction-diffusion equations. Applied Numerical Mathematics. Vol. 59, pp: 73-100, 2009.
https://doi.org/10.1016/j.apnum.2007.12.001

[230] C. E. Castro, M. Käser and Eleuterio F. Toro. Space-time adaptive numerical methods for geophysical applications. Phil. Trans. Royal Soc. London A. Vol. 367, pp: 4613-4631, 2009.
doi:10.1098/rsta.2009.0158.

[229] Alberto Canestrelli, Annunziato Siviglia, Michael Dumbser and Eleuterio F. Toro. Well-balanced high-order centred schemes for non-conservative hyperbolic systems. Applications to shallow water equations with fixed and mobile bed. Advances in Water Resources. Vol. 32, pp: 834-844, 2009.
https://doi.org/10.1016/j.advwatres.2009.02.006

[228] A Siviglia and Eleuterio F. Toro. The WAF method and splitting procedures for simulating hydro and thermal peaking waves in open channel flows. Journal of Hydraulic Engineering. Vol. 135, No 8, pp: 651-662, 2009.
https://doi.org/10.1061/(ASCE)HY.1943-7900.0000054

[227] A. Ferrari, M. Dumbser, Eleuterio F. Toro and A. Armanini. A new 3D parallel SPH scheme for free- surface flows. Computers and Fluids. Vol. 38, pp: 1203-1217, 2009.
https://doi.org/10.1016/j.compfluid.2008.11.012

[226] M. Dumbser, M. Castro, C. Parés and Eleuterio F. Toro. ADER schemes on ustructured meshes for non-conservative hyperbolic systems: applications to geophysical flows. Computers and Fluids. Vol. 38, Number 9, pp: 1731-1748, 2009.
https://doi.org/10.1016/j.compfluid.2009.03.008

[225] M. Castro, A. Pardo, C. Parés and Eleuterio F. Toro. On some fast wellbalanced first order solvers for non-conservative systems. Mathematics of Computation. Vol. 79, pp: 1427-1472, 2009. S 0025-5718(09)02317-5

[224] A Canestrelli, A Siviglia, M Dumbser and Eleuterio F. Toro. Well-balanced highorder centred schemes for non-conservative hyperbolic systems. Applications to shallow water equations with fixed and mobile bed. Isaac Newton Institute for Mathematical Sciences Preprint Series NI09023-NPA. University of Cambridge, UK. Available in pdf format at: http://www.newton.ac.uk/preprints2009.html.

 

2008

[223] C. E. Castro and Eleuterio F. Toro. Solvers for the high-order Riemann problem for hyperbolic balance laws. Journal of Computational Physics. Vol. 227, pp: 2481- 2513, 2008.
https://doi.org/10.1016/j.jcp.2007.11.013

[222] M. Dumbser, C. Enaux and Eleuterio F. Toro. Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Journal of Computational Physics. Vol. 227, pp: 3971-4001, 2008.
https://doi.org/10.1016/j.jcp.2007.12.005

[221] M. Dumbser, D. Balsara, Eleuterio F. Toro and C. D. Munz. A unified framework for the construction of one-step finite-volume and discontinuous Galerkin schemes on unstructured meshes. Journal of Computational Physics. Vol. 227, pp: 8209-8253, 2008.
https://doi.org/10.1016/j.jcp.2008.05.025

[220] G. Vignoli, V. A. Titarev and Eleuterio F. Toro. ADER schemes for the shallow water equations in channel with irregular bottom elevation. Journal of Computational Physics. Vol. 227, pp: 2463-2480, 2008.
https://doi.org/10.1016/j.jcp.2007.11.006

[219] R. Bernetti, V. A. Titarev and Eleuterio F. Toro. Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. Journal of Computational Physics. Vol. 227, pp: 3212-3243, 2008.
https://doi.org/10.1016/j.jcp.2007.11.033

[218] V. A. Titarev, E. Romenski and Eleuterio F. Toro. MUSTA-type upwind fluxes for non-linear elasticity. International Journal for Numerical Methods in Engineering. Vol. 73, pp: 897-926, 2008.
https://doi.org/10.1002/nme.2096

[217] A. Ferrari, M. Dumbser, Eleuterio F. Toro and A Armanini. A new stable SPH scheme in Lagrangian coordinates. Communications in Computational Physics. Vol. 4, No 2, pp: 378-404, 2008.

[216] Eleuterio F. Toro. Computational methods for hyperbolic equations. Invited contribution. In Jets from Young Stars: Numerical MHD and Instabilities. Springer Lecture Notes in Physics. Vol. 754. S Massaglia, G Bodo, A Mignone and P Rossi (editors). 2008.

[215] Eleuterio F. Toro and C. E. Castro. The derivative Riemann problem for the Baer-Nunziato equations. In Hyperbolic Problems: Theory, Numerics and Applications. Vol. 1, pp: 1045-1052, Sylvie Benzoni-Gavage and Denis Serre (editors). Springer, 2008.
https://doi.org/10.1007/978-3-540-75712-2_111

[214] G Russo, V A Titarev and Eleuterio F. Toro. ADER-Runge-Kutta schemes for conservation laws in one space dimension. In Hyperbolic Problems: Theory, Numerics and Applications. Vol. 1, pp: 929-936, Sylvie Benzoni-Gavage and Denis Serre (editors). Springer, 2008.
https://doi.org/10.1007/978-3-540-75712-2_97

[213] Eleuterio F. Toro, A. Hidalgo and M. Dumbser. FORCE schemes on unstructured meshes I: conservative hyperbolic systems. Isaac Newton Institute for Mathematical Sciences Preprint Series NI09005-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.ac.uk/preprints2008.html

[212] Manuel Castro, Carlos Parés, Eleuterio F. Toro, Michael Dumbser and Arturo Hidalgo. FORCE schemes on unstructured meshes II: non-conservative hyperbolic systems. Isaac Newton Institute for Mathematical Sciences Preprint Series NI09017- MPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.ac.uk/preprints2008.html

[211] M. J. Castro, C. Pares, A. Pardo and Eleuterio F. Toro. Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Numerical Mathematics and Advanced Applications, Springer, pp: 249-256, 2008
https://doi.org/10.1007/978-3-540-69777-0_29

 

2007

[210] Eleuterio F. Toro and P. García-Navarro. Godunov-type methods for freesurface shallow flows: a review. Journal of Hydraulic Research. Vol. 45, pp: 736-751, 2007.
https://doi.org/10.1080/00221686.2007.9521812

[209] M. Dumbser, M. Käser, V A Titarev and Eleuterio F. Toro. Quadrature-free nonoscillatory finite volume schemes on unstructured meshes for non-linear hyperbolic systems. Journal of Computational Physics. Vol. 221, pp: 693-723, 2007.
DOI: 10.1016/j.jcp.2007.04.004

[208] M Dumbser, M Käser and Eleuterio F. Toro. An arbitrary high order discontinuous Galerkin method for elastic waves on unstructured meshes V: local time stepping and p-adaptivity. Geophysical Journal International. Vol. 171, pp: 695-717, 2007.
https://doi.org/10.1111/j.1365-246X.2007.03427.x

[207] V. A. Titarev and Eleuterio F. Toro. Analysis of ADER and ADER-WAF schemes. IMA Journal of Numerical Analysis. Vol. 27, pp: 616-630, 2007.
doi:10.1093/imanum/drl033

[206] D. Zeidan, A. Slaouti, E. Romenski and Eleuterio F. Toro. Numerical solution for hyperbolic conservative two-phase flow equations. International Journal of Computational Methods. Vol. 4, No. 2, pp: 299-333, 2007.
https://doi.org/10.1142/S0219876207000984

[205] D. Zeidan, E. Romenski, A. Slaouti and Eleuterio F. Toro. Numerical study of wave propagation in compressible two-phase flow. International Journal for Numerical Methods in Fluids. Vol. 54, pp: 393-417, 2007.
https://doi.org/10.1002/fld.1404

[204] E. Romensky, A. D. Resnyanski and Eleuterio F. Toro. Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures. Quarterly of Applied Mathematics. Vol. 6, pp: 259-279, 2007.
https://www.jstor.org/stable/43638848

[203] Eleuterio F. Toro, C E Castro and M Dumbser. ADER high-order schemes for evolutionary PDEs: a brief review. Keynote invited paper. In Proceedings of Japanese Conference on Computational Fluid Dynamics. Tokyo, Japan, June 2007. Aiso H (editor).

[202] Eleuterio F. Toro, M. Dumbser, V. A. Titarev and M. Käser. The derivative Riemann problem: the basis for high order ADER schemes. In Proceedings of ECCOMAS CFD 2006 Conference. Egmond aan Zee, The Netherlands. September 5- 8, 2006. P Wesseling, E Oñate and J Periaux (editors). 2006.
http://resolver.tudelft.nl/uuid:9f48bbc7-fb21-43a5-abde-c68bb0828413

[201] G. Vignoli, Eleuterio F. Toro and V. A. Titarev. ADER schemes for the shallow water equations in channels with irregular bottom elevation. In Proceedings of ECCOMAS CFD 2006 Conference. Egmond aan Zee, The Netherlands. September 5- 8, 2006. P Wesseling, E Oñate and J Periaux (editors). 2006.

[200] V. A. Titarev, E. Romenski and Eleuterio F. Toro. Development and application of generalized MUSTA schemes. In Proceedings of ECCOMAS CFD 2006 Conference. Egmond aan Zee, The Netherlands. September 5-8, 2006. P Wesseling, E Oñate and J Periaux (editors). 2006.

[199] V A Titarev and Eleuterio F. Toro. ADER schemes for hyperbolic conservation laws with reactive terms. In Proceedings of ECCOMAS CFD 2006 Conference. Egmond aan Zee, The Netherlands. September 5-8, 2006. P Wesseling, E Oñate and J Periaux (editors). 2006.
http://resolver.tudelft.nl/uuid:980efc09-de39-4c20-b430-2c781fb337ef

[198] C E Castro and Eleuterio F. Toro. New numerical approaches to multiphase flow modelling. In Advancements in Energetic Materials and Chemical Propulsion. 6-ISICP. Redding, Connecticut, USA. K K Kuo and J D Rivera (editors).
ISBN/ISSN: 978-1-56700-239-3, 2007
DOI: 10.1615/IntJEnergeticMaterialsChemProp.v6.i5.50

[197] C. E. Castro and Eleuterio F. Toro. ADER DG and FV schemes for shallow water flows. In Proceedings 14th European Conference on Mathematics for Industry. ECMI, Madrid, Spain, 10-14 July, 2007.
https://doi.org/10.1007/978-3-540-71992-2_49

[196] A Ferrari, M Dumbser, Eleuterio F. Toro and A Armanini. A new stable and consistent version of the SPH method in Lagrangian coordinates. In Proceedings of SPHERID: 2nd International Workshop. Vol. 1, pp: 79-82. Caica Ediciones.
ISBN: 978-84-690-6159-6, 2007.

[195] Eleuterio F. Toro and A Hidalgo. ADER finite volume schemes for non-linear diffusion- reaction equations. Isaac Newton Institute for Mathematical Sciences Preprint Series NI07011-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2007.

[194] M. Dumbser, D. Balsara, C. D. Munz and Eleuterio F. Toro. A unified framework for the construction of one-step finite-volume and discontinuous Galerkin schemes on unstructured meshes. Isaac Newton Institute for Mathematical Sciences Preprint Series NI07084-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2007.

[193] M. Dumbser, C. Enaux and Eleuterio F. Toro. Explicit finite volume schemes of arbitrary high order of accuracy for hyperbolic systems with stiff source terms. Isaac Newton Institute for Mathematical Sciences Preprint Series NI07007-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2007.

 

2006

[192] Eleuterio F. Toro and V. A. Titarev. Derivative Riemann solvers for systems of conservation laws and ADER methods. Journal of Computational Physics. Vol. 212, pp: 150-165, 2006.
https://doi.org/10.1016/j.jcp.2005.06.018

[191] Eleuterio F. Toro. Riemann solvers with evolved initial conditions. International Journal for Numerical Methods in Fluids. Vol. 52, pp: 433-453, 2006.
https://doi.org/10.1002/fld.1186

[190] Eleuterio F. Toro. A multi-stage numerical flux. Applied Numerical Mathematics. Vol. 56, Issues 10-11, pp: 1464-1479, 2006.
https://doi.org/10.1016/j.apnum.2006.03.022

[189] Eleuterio F. Toro and V. A. Titarev. MUSTA fluxes for systems of conservation laws. Journal of Computational Physics. Vol. 216, pp: 403-429, 2006.
https://doi.org/10.1016/j.jcp.2005.12.012

[188] E. Romenski, V. A. Titarev and Eleuterio F. Toro. Perfectly matched layers with high rate damping for hyperbolic systems. International Journal of Computational Fluid Dynamics. Vol. 15, pp: 240-246, 2006.

[187] C. E. Castro and Eleuterio F. Toro. A Riemann solver and upwind methods for a two-phase flow model in non-conservative form. International Journal for Numerical Methods in Fluids. Vol. 60, pp: 275-307, 2006.
https://doi.org/10.1002/fld.1055

[186] Eleuterio F. Toro, M. Käser, M. Dumbser and C. E. Castro. ADER shockcapturing schemes and geophysical applications. Invited inaugural lecture of the 25th International Symposium on Shock Waves, Bangalore, India, July, 2005. In Shock Waves: Proceedings of the 25th International Symposium on Shock Waves-ISSW25, July 17-22, 2005, Bangalore, India. G Jagadeesh, E Arunan and K P J Reddy
(editors). Universities Press (India). Distributed by Orient Longman. ISBN: 8173715718, 2006.

[185] R. Bernetti, V. A. Titarev and Eleuterio F. Toro. Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. Isaac Newton Institute for Mathematical Sciences Preprint Series NI06020-NPA. University
of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2006.

[184] G. Vignoli, V. A. Titarev and Eleuterio F. Toro. ADER schemes for the shallow water equations in channel with irregular bottom elevation. Isaac Newton Institute for Mathematical Sciences Preprint Series NI06051-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2006.

[183] C E Castro and Eleuterio F. Toro. Alternative solvers for the derivative Riemann problem for hyperbolic balance laws. Isaac Newton Institute for Mathematical Sciences Preprint Series NI06053-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2006.

 

2005

[182] Eleuterio F. Toro and V. A. Titarev. ADER schemes for scalar hyperbolic conservation laws with source terms in three space dimensions. Journal of Computational Physics. Vol. 202, pp: 196-215, 2005.
https://doi.org/10.1016/j.jcp.2004.06.014

[181] V A Titarev and Eleuterio F. Toro. ADER schemes for three-dimensional nonlinear hyperbolic systems. Journal of Computational Physics. Vol. 204, pp: 715-736, 2005.
https://doi.org/10.1016/j.jcp.2004.10.028

[180] V A Titarev and Eleuterio F. Toro. ENO and WENO schemes based on upwind and centred TVD fluxes. Computers and Fluids. Vol. 3, pp: 705-720, 2005.
https://doi.org/10.1016/j.compfluid.2004.05.009

[179] V. A. Titarev and Eleuterio F. Toro. MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. International Journal for Numerical Methods in Fluids. Vol. 49, pp: 117-147, 2005.
https://doi.org/10.1002/fld.980

[178] H. Staedke, G. Franchello, B. Worth, U. Graf, P. Romstedt, A. Kumbaro, J. García-Cascales, H. Paillere, H. Deconinck, M. Ricchiuto, B. Smith, F. De Cachard, Eleuterio F. Toro, E. Romenski, S. Mimouni Advanced three-dimensional two-phase flow simulation tools for application to reactor safety (ASTAR). Nuclear Engineering Design. Vol. 235, pp: 379-400, 2005.
https://doi.org/10.1016/j.nucengdes.2004.08.052

[177] Eleuterio F. Toro and V. A. Titarev. TVD fluxes for the high-order ADER schemes. Journal of Scientific Computing. Vol. 24, pp: 285-309, 2005.
https://doi.org/10.1007/s10915-004-4790-8

[176] Eleuterio F. Toro. Conventional and derivative Riemann solvers. In Finite Volumes for Complex Applications IV. Problems and Perspectives. Benkhaldoun, Ouazar and Raghay (editors). Pages 101-110. Hermes Science P. London, Great Britain.

[175] Eleuterio F. Toro, V. A. Titarev and M. Dumbser. Recent developments on highorder numerical methods for the shallow water equations, pp: 231-259, Castellón, Spain. J Castello and V Martinez (editors), 2005.

[174] Eleuterio F. Toro. Riemann solvers with evolved initial conditions. Isaac Newton Institute for Mathematical Sciences Preprint Series NI05003-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2005.

[173] Eleuterio F. Toro and V. A. Titarev. Derivative Riemann solvers for systems of conservation laws and ADER methods. Isaac Newton Institute for Mathematical Sciences Preprint Series NI05004-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2005.

[172] C. E. Castro and Eleuterio F. Toro. A Riemann solver and upwind methods for a two-phase flow model in non-conservative form. Isaac Newton Institute for Mathematical Sciences Preprint Series NI05001-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2005.

[171] C. Woodley, D. Finbow, V. A. Titarev and Eleuterio F. Toro. Two-Dimensional modelling of mortar internal ballistics. Proceedings of the 22nd International Symposium on Ballistics, pp: 307-314. Vancouver, Canada, 14-18th November 2005. William Flis and Brian Scott (editors). DEStech Publications, Inc.

[170] C. Woodley, S. J. Billett, C Lowe and Eleuterio F. Toro. The FHIBS Internal Ballistics Code. Proceedings of the 22nd International Symposium on Ballistics, pp: 322-329. Vancouver, Canada, 14-18th November 2005. William Flis and Brian Scott (editors). DEStech Publications, Inc.

 

2004

[169] G. Q. Chen and Eleuterio F. Toro. Centered difference schemes for non-linear hyperbolic equations. Journal of Hyperbolic Equations. Vol. 1, pp: 531-566, 2004.
https://doi.org/10.1142/S0219891604000202

[168] V. A. Titarev and Eleuterio F. Toro. Finite volume WENO schemes for threedimensional conservation laws. Journal of Computational Physics. Vol. 201, pp: 238- 260, 2004.
https://doi.org/10.1016/j.jcp.2004.05.015

[167] E. Romenski and Eleuterio F. Toro. Hyperbolicity and one-dimensional waves in compressible two- phase flow models. Shock Waves. Vol. 13, pp: 473-487, 2004.
https://doi.org/10.1007/s00193-004-0229-2

[166] E. Romenski and Eleuterio F. Toro. Compressible two-phase flows: twopressure models and numerical methods. Computational Fluid Dynamics Journal. Vol. 13, pp: 403-416, 2004.

[165] Eleuterio F. Toro. Conservative hyperbolic model for two-phase flow and onedimensional waves. In Proceedings of the 10th International Conference on Hyperbolic Problems: Theory, Numerics, Applications. Osaka, Japan, 2004.

[164] Eleuterio F. Toro. MUSTA: A multi-stage numerical flux. Isaac Newton Institute for Mathematical Sciences Preprint Series NI04008-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2004.

[163] E. Romenski, E. Resnyanski and Eleuterio F. Toro. Conservative hyperbolic model for compressible two-phase flow with different phase pressures and temperatures. Isaac Newton Institute for Mathematical Sciences Preprint Series NI04034-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2004.

[162] V. A. Titarev and Eleuterio F. Toro. MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. Isaac Newton Institute for Mathematical Sciences Preprint Series NI04032-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2004.

[161] V. A. Titarev and Eleuterio F. Toro. ADER schemes for shallow water equations with pollutant transport. In Proceedings of the XXIX Convegno di Idraulica e Costruzioni Idrauliche. Trento, Italy, 7-10 September, 2004. Vol. 1, pp: 909-914, 2004.

 

2003

[160] Eleuterio F. Toro and A. Siviglia. PRICE: primitive centred schemes for hyperbolic systems. International Journal for Numerical Methods in Fluids. Vol. 42, pp: 1263-1291, 2003.
https://doi.org/10.1002/fld.491

[159] M. J. Ivings, Eleuterio F. Toro and D. M. Webber. Numerical schemes for 2D shallow layer equations including dry fronts. International Journal of Computational Fluid Dynamics. Vol. 12, No 1, pp: 41-52, 2003.

[158] V. A. Titarev and Eleuterio F. Toro. High order ADER schemes for scalar advection-diffusion-reaction equations. International Journal of Computational Fluid Dynamics. Vol. 12, No 1, pp: 1-6, 2003.

[157] Y Takakura and Eleuterio F. Toro. Arbitrarily accurate non-oscillatory schemes for non-linear scalar conservation laws with source terms II. In Proceedings of the 2nd International Conference on Computational Fluid Dynamics. Springer-Verlag. S Armfield, P Morgan and K Srinivas (editors), pp: 247-252, 2003.

[156] G Q Chen and Eleuterio F. Toro. Centred schemes for non-linear hyperbolic equations. Isaac Newton Institute for Mathematical Sciences Preprint Series NI 03046- NPA. University of Cambridge, UK.
In pdf format available in: http://www.newton.cam.ac.uk/preprints2003.html.

[155] Eleuterio F. Toro and V. A. Titarev. TVD fluxes for the high-order ADER schemes. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03011- NPA. University of Cambridge, UK.
In pdf format available at: http://www.newton.cam.ac.uk/preprints2003.html.

[154] Eleuterio F. Toro. Multi-stage predictor-corrector fluxes for hyperbolic equations. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03037- NPA. University of Cambridge, UK.
Also available in pdf format at: http://www.newton.cam.ac.uk/preprints2003.html.

[153] E. I. Romenski and Eleuterio F. Toro. Shock waves in compressible two-phase flows. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03026-NPA. University of Cambridge, UK.
In pdf format available at: http://www.newton.cam.ac.uk/preprints2003.html.

[152] E. I. Romenski, D. Zeidan, A. Slaouti and Eleuterio F. Toro. Hyperbolic conservative model for compressible two-phase flow. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03022-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2003.

[151] V. A. Titarev and Eleuterio F. Toro. ENO and WENO schemes based on upwind and centred TVD fluxes. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03052-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2003.html.

[150] V A Titarev and Eleuterio F. Toro. Finite volume WENO schemes for threedimensional conservation laws. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03057-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2003.

[149] V. A. Titarev and Eleuterio F. Toro. ADER schemes for scalar hyperbolic conservation laws in three space dimensions. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03063-NPA. University of Cambridge, UK.
Available in pdf format at: http://www.newton.cam.ac.uk/preprints2003.

[148] R. Bernetti, Eleuterio F. Toro and M. Brocchini. An operator-splitting method for long waves. In Proceedings of Long Waves Symposium. Tessaloniki, Greece. Vol. 1, pp: 49-56, 2003.

[147] F De Cachard, H Deconinck, G Franchello, U Graf, A Kumbaro, S Mimouni, H Paillere, E Romenski, P Romstedt, JM Rovarche, B Smith, H Staedtke, Eleuterio F. Toro, B Worth. The ASTAR Project-Status and Perspective. In Proc. 10th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-10), pp: 5-9, 2003.

[146] M. E. Vázquez-Cendón and Eleuterio F. Toro. Exact solution of some hyperbolic systems with sources terms. Proceedings of the Royal Society of London. Series A. Vol. 459, pp: 263-271, 2003.
https://doi.org/10.1098/rspa.2002.0987

 

2002

[145] Eleuterio F. Toro and V. A. Titarev. Solution of the generalised Riemann problem for advection-reaction equations. Proceedings of the Royal Society of London. Series A. Vol. 458, pp: 271-281, 2002.
DOI: 10.1098/rspa.2001.0926

[144] V. A. Titarev and Eleuterio F. Toro. ADER: arbitrary high order Godunov approach. Journal of Scientific Computing. Vol. 17, pp: 609-618, 2002.
https://doi.org/10.1023/A:1015126814947

[143] T. Schwartzkopff, C. D. Munz and Eleuterio F. Toro. ADER: High-order approach for linear hyperbolic systems in 2D. Journal of Scientific Computing. Vol. 17, pages 231-240, 2002.
https://doi.org/10.1023/A:1015160900410

[142] Y. Takakura and Eleuterio F. Toro. Arbitrarily accurate non-oscillatory schemes for a non-linear conservation law. International Journal of Computational Fluid Dynamics. Vol. 11, No 1, pp: 7-18, 2002.

[141] E Eleuterio F. Toro. Anomalies of conservative methods: analysis, numerical evidence and possible cures. International Journal of Computational Fluid Dynamics. Vol. 11, pp: 128-143, 2002.

[140] D. Zeidan, Eleuterio F. Toro and A. Slaouti. Numerical simulation of compressible two-phase flow model based on the Riemann problem. In Proceedings of the 2nd Annual European Multiphase Systems Institute Meeting and the 40th European Two-Phase Flow Group Meeting. Stockholm. June 10-13, 2002.
http://www.acomen.ugent.be/

[139] D. Zeidan, Eleuterio F. Toro and A. Slaouti. On the Riemann problem for a hyperbolic two-phase flow model. In Proceedings ACOMEN Conference. Belgium. May 28-31, 2002.
https://www.math.ntnu.no/conservation/

 

2001

[138] Eleuterio F. Toro. Shock-capturing methods for free-surface shallow flows. First Edition. Wiley and Sons Ltd. (UK), Chichester, New York. (Book, 309 pages). ISBN: 978-0-471-98766-6.

[137] T. Schwartzkopff, C. D. Munz, Eleuterio F. Toro and R. C. Millington. ADER-2D: a high-order approach for linear hyperbolic systems in 2D. In Proceedings of ECCOMAS Computational Fluid Dynamics Conference. Swansea, Wales. 4-7 September, 2001.

[136] T. Schwartzkopff, C. D. Munz, Eleuterio F. Toro and R. C. Millington. The ADER approach in 2D. In Discrete Modelling and Discrete Algorithms in Continuum Mechanics. Berlin, Germany. T Sonar (editor). Vol. 1, pp: 207-216, 2001.

[135] R. C. Millington, V. A. Titarev and Eleuterio F. Toro. ADER: Arbitrary-Order NonOscillatory Advection Schemes. International Series of Numerical Mathematics Vol. 141, pp: 723-732. Birkhäuser Verlag Basel/Switzerland, pp: 723-732. 2001.
https://doi.org/10.1007/978-3-0348-8372-6_26

[134] B. Zanutigh, A. Lamberti and Eleuterio F. Toro. Exact solution of the Riemann problem for a power-law channel section. In Proceedings of ECCOMAS Computational Fluid Dynamics Conference. Swansea, UK, September 4-7, 2001.

[133] B. Zanutigh, A. Lamberti and Eleuterio F. Toro. Weighted average flux method including source terms for a power-law channel. In Proceedings of ECCOMAS Computational Fluid Dynamics Conference. Swansea, UK, September 4-7, 2001.

[132] Eleuterio F. Toro and V. A. Titarev. Very-high order Godunov-type schemes for non-linear scalar conservation laws. In Proceedings of ECCOMAS Computational Fluid Dynamics Conference. Swansea, UK, September 4-7, 2001.

[131] Eleuterio F. Toro and R. C. Millington. The ADER approach to linear advection. In Proceedings of ECCOMAS Computational Fluid Dynamics Conference. Swansea, UK, September 4-7, 2001.

[130] Eleuterio F. Toro and V A Titarev. ADER: Towards arbitrary order non-oscillatory schemes for advection-diffusion-reaction. Proceedings of 8th Taiwan National Conference on Computational Fluid Dynamics. Keynote Lecture. E-Land, Taiwan, August 18-20, 2001.

[129] Eleuterio F. Toro, R C Millington and L A M Nejad. Towards very high-order Godunov schemes. In: Toro E.F. (eds) Godunov Methods. Springer, Boston, MA, pp: 897-902. 2001
https://doi.org/10.1007/978-1-4615-0663-8_87

[128] Eleuterio F. Toro and M E Vázquez-Cendón. Model hyperbolic systems with source terms: exact and numerical solutions. In: Toro E.F. (eds) Godunov Methods. Springer, Boston, MA, pp: 897-902, 2001.
https://doi.org/10.1007/978-1-4615-0663-8_88

[127] W Hu and Eleuterio F. Toro. Centred unsplit finite volume schemes for hyperbolic conservation laws. In: Toro E.F. (eds) Godunov Methods. Springer, Boston, MA, pp: 897-902, 2001.
https://doi.org/10.1007/978-1-4615-0663-8_86

[126] Eleuterio F. Toro (Editor) Godunov Methods: Theory and Applications. Springer 2001.
ISBN 978-1-4615-0663-8
Remark: This book of 1077 pages contains 97 refereed articles from the conference in honour of S. K. Godunov on occasion of his 70th birthday, University of Oxford, UK, October 1999.

 

2001

[125] Eleuterio F. Toro and S J Billett. Centred TVD schemes for hyperbolic conservation laws. IMA Journal of Numerical Analysis. Vol. 20, pages 47-79, 2000.
DOI: 10.1093/imanum/20.1.47

[124] Eleuterio F. Toro. The Lax-Wendroff method. In Encyclopaedia of Mathematics. Invited Article, Supplement II, pp: 301-304, 2000.

[123] Eleuterio F. Toro. NUMERICA: a library of source codes for teaching, research and applications. HYPER-WAT. Methods for the shallow water equations. Numeritek Limited UK. ISBN: 9536483-5-4. Software. 2000.

 

1999

[122] Eleuterio F. Toro. Riemann solvers and numerical methods for fluid dynamics: A practical introduction. Second edition. Springer-Verlag. Berlin Heidelberg 1999. Book (624 pages).
ISBN: 3-540-65966-8, 1999.

[121] Eleuterio F. Toro, M. Olim and K. Takayama. Unusual increase in tsunami wave amplitude at the Oshukiri island: Mach reflection of shallow water waves. In Proceedings of 22th International Symposium on Shock Waves. G J Ball, R Hillier and G T Roberts (editors). Published by the University of Southampton, UK. Vol. 2, pp: 1207-1212, 1999.

[120] Eleuterio F. Toro. NUMERICA: A Library of Source Codes for Teaching, Research and Applications. HYPER-EUL. Methods for the Euler equations. Numeritek Limited UK. ISBN 0-9536483-3-8. Software. 1999.

[119] Eleuterio F. Toro. NUMERICA: A Library of Source Codes for Teaching, Research and Applica- tions. HYPER-LIN. Methods for model hyperbolic equations. Numeritek Limited UK. ISBN 0-9536483-0-3. Software. 1999.

 

1998

[118] M. J. Ivings, D. M. Causon and Eleuterio F. Toro. On Riemann solvers for compressible liquids. International Journal for Numerical Methods in Fluids. Vol. 28, pp: 395-418, 1998.
https://doi.org/10.1002/(SICI)1097-0363(19980915)28:3<395::AID-FLD718>3.0.CO;2-S

[117] S. J. Billett and Eleuterio F. Toro. Unsplit WAF-type schemes for threedimensional hyperbolic conservation laws. In: Toro E. F. and Clarke J. F. (eds) Numerical Methods for Wave Propagation. Fluid Mechanics and Its Applications, vol 47, pp 75-124. Springer, Dordrecht, 1998.
https://doi.org/10.1007/978-94-015-9137-9_4

[116] Eleuterio F. Toro. Primitive, conservative and adaptive schemes for hyperbolic conservation laws. In: Toro E. F. and Clarke J. F. (eds) Numerical Methods for Wave Propagation. Fluid Mechanics and Its Applications, vol 47, pp: 323-385. Springer, Dordrecht, 1998.
https://doi.org/10.1007/978-94-015-9137-9_14

[115] Eleuterio F. Toro. Anomalies of conservative methods: the shear wave problem. In Proceedings International Conference on Numerical Methods for Fluid Dynamics VI. M J Baines (editor), pp: 531-537, 1998.

[114] Eleuterio F. Toro, R. C. Millington and L. A. M. Nejad. Primitive upwind numerical methods for hyperbolic partial differential equations. In Sixteenth International Conference on Numerical Methods for Fluid Dynamics. Lecture Notes in Physics. Vol. 515, C H Bruneau (editor). Springer, Berlin, Heidelberg, 1998.

[113] Eleuterio F. Toro and J. F. Clarke (eds). Numerical Methods for Wave Propagation Fluid Mechanics and Its Applications, vol 47. Springer, Dordrecht, 1998. Note: Selected Contributions (385 pages) from the Workshop held in Manchester, UK, Containing the Harten Memorial Lecture delivered by P. L. Roe.

 

1997

[112] Eleuterio F. Toro. Riemann solvers and numerical methods for fluid dynamics: A practical introduction. First edition. Springer-Verlag. Berlin Heidelberg New York 1997. Book (592 pages).
ISBN: 3-540-61676-4. 1997.

[111] S J Billett and Eleuterio F. Toro. On the accuracy and stability of explicit schemes for multi-dimensional linear homogeneous advection equations. Journal of Computational Physics. Vol. 131, pp: 247-250, 1997.
https://doi.org/10.1006/jcph.1996.5610

[110] S J Billett and Eleuterio F. Toro. On WAF-type schemes for multidimensional hyperbolic conservation laws. Journal of Computational Physics. Vol. 130, pp: 1-24, 1997.
https://doi.org/10.1006/jcph.1996.5470

[109] Eleuterio F. Toro and S J Billett. A unified Riemann-problem based extension of the Warming-Beam and Lax-Wendroff schemes. IMA Journal of Numerical Analysis. Vol. 17, pages 61-102, 1997.
https://doi.org/10.1093/imanum/17.1.61

[108] E P Boden and Eleuterio F. Toro. A combined CHIMERA-AMR technique for computing hyperbolic PDEs. In Proceedings of the Fifth Annual Conference of the CFD Society of Canada, pp: 5.13-5.18, 1997.

[107] E P Boden and Eleuterio F. Toro. Centred TVD schemes for hyperbolic conservation laws. Technical Report. MMU-9603. Department of Mathematics and Physics, Manchester Metropolitan University, UK. 1997.

[106] Eleuterio F. Toro. On two Glimm-related schemes for hyperbolic conservation laws. In Proceedings of the Fifth Annual Conference of the CFD Society of Canada, pp: 3.49-3.54, 1997.

[105] Eleuterio F. Toro. Exact and approximate Riemann solvers for the artificial compressibility equations. Technical report MMU-9702. Department of Mathematics and Physics, Manchester Metropolitan University. UK. 1997.

 

1996

[104] J. Shi and Eleuterio F. Toro. Fully-discrete high-order shock-capturing numerical schemes. International Journal for Numerical Methods in Fluids. Vol. 23, pp: 241-269, 1996.
https://doi.org/10.1002/(SICI)1097-0363(19960815)23:3<241::AID-FLD421>3.0.CO;2-L

[103] J. Shi and Eleuterio F. Toro. Fully discrete high resolution schemes for hyperbolic conservation laws. International Journal for Numerical Methods in Fluids. Vol. 23, pp: 309-323, 1996.
https://doi.org/10.1002/(SICI)1097-0363(19960830)23:4<309::AID-FLD410>3.0.CO;2-Z

[102] Eleuterio F. Toro, S J Billett and E P Boden. Advanced modelling techniques for propulsion systems. In Proceedings of Conference on Energetic Materials and Propulsion Technology. Salisbury, Australia. April 18-19, 1996.

[101] Eleuterio F. Toro. On Glimm-related schemes for conservation laws. Technical Report. Department of Mathematics and Physics. Manchester Metropolitan University, UK. 1996.

[100] S J Billett and Eleuterio F. Toro. Implementing a three-dimensional finite volume WAF-type scheme for the Euler equations. In Proceedings of ECCOMAS. Vol. 96, pp: 732-738. Paris, September 9-13, 1996.

[99] M. J. Ivings, D. M. Causon and Eleuterio F. Toro. Riemann solvers for compressible water. In Proceedings of ECCOMAS. Vol. 96, pages 944-949. Paris, September 9-13, 1996.

 

1995

[98] L Fraccarollo and Eleuterio F. Toro. Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems. Journal of Hydraulic Research. Vol. 33, pp: 843-864, 1995.
https://doi.org/10.1080/00221689509498555

[97] Eleuterio F. Toro. Direct Riemann solvers for the time dependent Euler equations. Shock Waves. Vol. 5, pp: 75-80, 1995.
https://doi.org/10.1007/BF02425037

[96] W. Speares and Eleuterio F. Toro. An adaptive gridding approach to the computation of reactive two-phase flows in two dimensions. In Proceedings of 19th International Symposium on Shock Waves. Brun and Dumitrescu (editors). Springer, Vol. 3, pp: 155-160, 1995.

[95] S. J. Billett and Eleuterio F. Toro. TVD limiter functions for multidimensional schemes. In Proceedings of 6th International Symposium on Computational Fluid Dynamics. Lake Tahoe, Nevada, USA. September 4-8, 1995.

[94] P. Batten, C. Lambert, R. Saunders, D. M. Causon and Eleuterio F. Toro. A temporal refinement algorithm for unstructured mesh methods. In Proceedings of ICFD Conference on Numerical Methods for Fluid Dynamics. Oxford University, UK, April 3-6, 1995.

[93] N. Nikiforakis and Eleuterio F. Toro. Evaluation of the WAF method for kinematic and dynamic atmospheric modelling problems. In Proceedings of ICFD Conference on Numerical Methods for Fluid Dynamics. Oxford University, UK, April 3-6, 1995.

[92] J. Shi and Eleuterio F. Toro. A new approach for steady incompressible flows. In Proceedings of 9th International Conference on Numerical Methods in Laminar and Turbulent Flow. Atlanta, USA. July 10-14, 1995.

[91] Eleuterio F. Toro. Some IVPs for which conservative methods fail miserably. In Proceedings of 6th International Symposium on Computational Fluid Dynamics. Lake Tahoe, Nevada, USA. September 4-8, 1995.

[90] Eleuterio F. Toro. On adaptive primitive-conservative schemes for conservation laws. In Proceedings of 6th International Symposium on Computational Fluid Dynamics. Lake Tahoe, Nevada, USA. September 4-8, 1995.

[89] S. J. Billett and Eleuterio F. Toro. Numerical methods for overlapping grids and moving boundaries. In Proceedings of 6th International Symposium on Computational Fluid Dynamics. Lake Tahoe, Nevada, USA. September 4-8, 1995.

[88] Eleuterio F. Toro, W. Heilig and M. Jochims. A numerical and experimental study of blast wave phenomena in channels. In Proceedings of 19th International Symposium on Shock Waves. Brun and Dumitrescu (editors). Vol. 4, pp 373-377. Springer, 1995.

[87] Eleuterio F. Toro. Multi-dimensional WAF-type schemes for conservation laws. In Proceedings of 1st Asian Computational Fluid Dynamics Conference. Vol. 1, pp: 347- 352. Hong Kong, January 16-19, 1995.

[86] C. Lowe, J. F. Clarke and Eleuterio F. Toro. Numerical methods for propellant systems. In Proceedings of 1st Asian Computational Fluid Dynamics Conference. Vol. 2, pp: 541-548. Hong Kong, January 16-19, 1995.

[85] J. Shi and Eleuterio F. Toro. A family of fully discrete high-order TVD methods for hyperbolic conservation laws. In Proceedings of 1st Asian Computational Fluid Dynamics Conference. Vol. 3, pp: 949-956. Hong Kong, January 16-19, 1995.

[84] Eleuterio F. Toro. MUSCL-type primitive variable schemes. Technical Report. Department of Mathematics and Physics. Manchester Metropolitan University. Manchester, UK. 1995.

 

1994

[83] Eleuterio F. Toro, M. Spruce and W. Speares. Restoration of the contact surface in the Harten-Lax-van Leer Riemann solver. Shock Waves. Vol. 4, Issue 1, pp: 25-34, 1994.
https://doi.org/10.1007/BF01414629

[82] Eleuterio F. Toro and A Chakraborty. Development of an approximate Riemann solver for the steady supersonic Euler equations. The Aeronautical Journal. Vol. 98, pp: 325-339, 1994.
https://doi.org/10.1017/S0001924000026890

[81] L. Fraccarollo and Eleuterio F. Toro. Experimental and numerical analysis for twodimensional dambreak type problems. Technical report IDR 2. Dipartimento di Ingegneria Civile ed Ambientale. Università degli Studi di Trento. Trento, Italia. 1994.

[80] K. Takayama, Y. Miura, M. Olim, T. Saito and Eleuterio F. Toro. Mach reflection of water waves in conjunction with tsunami at the Okushiri Island. In Proceedings of Japanese Symposium on Shock Waves. (In Japanese), pp: 487-490. January 20-22, 1994.

[79] Eleuterio F. Toro. Defects of conservative approaches and adaptive primitiveconservative schemes for computing solutions to hyperbolic conservation laws. Technical report. Department of Mathematics and Physics. Manchester Metropolitan University. Manchester, UK. December, 1994.

 

1993

[78] Eleuterio F. Toro and C C Chou. A linearised Riemann solver for the steady supersonic Euler equations. International Journal for Numerical Methods in Fluids. Vol. 16, pp: 173-186, 1993.
https://doi.org/10.1002/fld.1650160302

[77] J F Clarke, S Karni, J J Quirk, L G Simmons, P L Roe and Eleuterio F. Toro. Numerical computation of two-dimensional, unsteady detonation waves in high energy solids. Journal of Computational Physics. Vol. 106, pp: 215-233, 1993.
https://doi.org/10.1016/S0021-9991(83)71104-6

[76] L Fraccarollo and Eleuterio F. Toro. A shock-capturing computational method for two-dimensional dam break type problems. In Proceedings of the 5th International Symposium on Computational Fluid Dynamics. Published by the Japan Society of Computational Fluid Dynamics. Daiguji (Editor), pp: 178-183, 1993.

[75] Eleuterio F. Toro and S. J. Billett. A unified Riemann-problem based extension of the Warming- Beam and Lax-Wendroff schemes. In Proceedings of the 5th International Symposium on Computational Fluid Dynamics. Published by the Japan Society of Computational Fluid Dynamics. Daiguji (Editor), pp: 243-248, 1993.

[74] Eleuterio F. Toro and S. J. Billett. A unified extension of the Warming-Beam and Lax-Wendroff schemes. Technical report CoA 9302. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. February, 1993.

[73] Eleuterio F. Toro. Riemann solvers: Linearisations and adaptation. In Numerical Methods for Fluid Dynamics IV. Oxford University Press. M J Baines and K W Morton (Editors), pp: 373-382, 1993.

[72] Eleuterio F. Toro. Multi-dimensional WAF-type schemes for model conservation laws. Technical report CoA 9312. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. 1993.

[71] J. Shi and Eleuterio F. Toro. Fully discrete arbitrary-order schemes for a model hyperbolic conserva- tion law. Technical report CoA 9308. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. August, 1993.

[70] J. Shi and Eleuterio F. Toro. Fully discrete high-order TVD schemes for a scalar hyperbolic conservation law. Technical report CoA 9307. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. August, 1993.

 

1992

[69] Eleuterio F. Toro. Riemann problems and the WAF method for solving the two dimensional shallow water equations. Philosophical Transactions of the Royal Society of London Series A: Physical Sciences and Engineering. Vol. 338, pp: 43-68, 1992.
https://doi.org/10.1098/rsta.1992.0002

[68] Eleuterio F. Toro. The Weighted Average Flux method applied to the Euler equations. Philosophical Transactions of the Royal Society of London Series A: Physical Sciences and Engineering. Vol. 341, pp: 499-530, 1992.
https://doi.org/10.1098/rsta.1992.0113

[67] E F Toro and R E Brown. The WAF method and splitting procedures for viscous, shocked flows. In Proceedings of the 18th International Symposium on Shock Waves. Tohoku University, Sendai, Japan. Springer-Verlag. K. Takayama (Editor). Vol. 2, pp: 1119-1126, 1992.
1992shwa.conf.1119T

[66] Eleuterio F. Toro. Riemann-solver adaptation for gas dynamics. In Proceedings of the 10th International Conference on Computing Methods in Applied Sciences and Engineering. Paris, France. February 11th to 14th, 1992. Glowinski (Editor), Nova Science Publishers Inc. New York, pp: 489-500. 1992.

[65] Eleuterio F. Toro, J. Orozco, N. Hill and C. C. Chou. Riemann solver adaptation for the steady supersonic Euler equations. In Proceedings of the First European Computational Fluid Dynamics Conference. Elsevier Science Publishers. Brussels, September 7th to 11th, 1992, Hirsch, Periaux and Kordulla (Editors). Vol. 2, pp: 719- 726. 1992.

[64] G Watson, D H Peregrine and Eleuterio F. Toro. Numerical solution of the shallow water equations on a beach using the Weighted Average Flux method. In Proceedings of the First European Computational Fluid Dynamics Conference. Elsevier Science Publishers. Brussels, September 7th to 11th, 1992, Hirsch, Periaux and Kordulla (Editors). Vol. 1, pp: 495-502. 1992.
http://hdl.handle.net/11572/77528

[63] W. Speares and Eleuterio F. Toro. A high-resolution approach to multiphase reactive flows in two dimensions. In Proceedings of the First European Computational Fluid Dynamics Conference. Elsevier Science Publishers. Brussels, September 7th to 11th, 1992, Hirsch, Periaux and Kordulla (Editors). Vol. 1, pp: 565-572, 1992.

[62] Eleuterio F. Toro. Viscous flux limiters. In Notes on Numerical Fluid Mechanics. Vieweg. Vos, Rizzi and Rhyming (Editors). Vol. 35, pp: 592-600. 1992.
https://doi.org/10.1007/978-3-663-13974-4_56

[61] Eleuterio F. Toro and S. J. Billett. Restoring monotonicity of slowly-moving shocks computed with Godunov-type schemes. Technical report CoA 9207. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. March 1992.

[60] Eleuterio F. Toro. Approximate Riemann solvers for one-dimensional magnetogasdynamics. Technical report CoA 9206. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. March, 1992.

[59] Eleuterio F. Toro. Direct Riemann solvers for one-dimensional non-equilibrium hypersonic flows. Technical report. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. May 1992.

[58] Eleuterio F. Toro and D T Elsworth. A numerical investigation of the artificial compressibility method for the solution of the Navier-Stokes equations. Technical report CoA 9213. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. June 1992.

[57] Eleuterio F. Toro and D T Elsworth. Riemann solvers for solving the incompressible Navier-Stokes equations using the artificial compressibility method. Technical report CoA 9208. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. June, 1992.

[56] Eleuterio F. Toro, M Spruce and W Speares. Restoration of the contact surface in the HLL Riemann solver. Technical report CoA 9204. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, UK. June, 1992.

 

1991

[55] Eleuterio F. Toro. A linearised Riemann solver for the time-dependent Euler equations of gas dynamics. Proceedings of the Royal Society of London. Series A. Vol. 434, pp: 683-693, 1991.
https://doi.org/10.1098/rspa.1991.0121

[54] Eleuterio F. Toro. Numerical dissipation functions based on artificial and physical dissipation. Technical report CoA 9103. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. February, 1991.

[53] Eleuterio F. Toro. Some aspects of shock-capturing methods for gas dynamics. Technical report CoA 9112. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. August, 1991.

[52] Eleuterio F. Toro. A linearised Riemann solver for Godunov-type methods. Technical report. Report CoA 9116. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. September, 1991.

[51] Eleuterio F. Toro. Viscous flux limiters. Technical report CoA 9115. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. August, 1991.

 

1990

[50] Eleuterio F. Toro. Applications of the Weighted Average Flux method to the shallow water equations. In Proceedings of the 3rd International Conference on Hyperbolic Problems. Uppsala, Sweden, June 1990. Engquist and Gustafsson (Editors). Volume 2, pp: 874-887, 1990.

[49] Eleuterio F. Toro. Numerical solution of the Euler equations by the Weighted Average Flux method: Part I. Technical report CoA 9001. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. March 1990.

[48] Eleuterio F. Toro. Non-iterative, non-linear Riemann solvers for the shallow water equations. Technical report CoA 9015. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. August 1990.

[47] Eleuterio F. Toro. Riemann problems and the WAF method for the twodimensional shallow water equations. Technical report CoA 9005. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. 1990

[46] Eleuterio F. Toro. Riemann problems and the WAF method for the twodimensional shallow water equations. Technical report UTM 314. Dipartimento di Matematica, Università degli Studi di Trento, Italia. 1990.

[45] Eleuterio F. Toro. The dry-bed problem in shallow-water flows. Technical report. CoA 9007. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. 1990.

[44] V Casulli and Eleuterio F. Toro. Preliminary results on a semi-lagrangian extension of the WAF method. Technical report CoA 9018. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. 1990.

 

1989

[43] Eleuterio F. Toro. A fast Riemann solver with constant covolume applied to the random choice method. International Journal for Numerical Methods in Fluids. Vol. 9, pp: 1145-1164, 1989.
http://hdl.handle.net/11572/36051

[42] Eleuterio F. Toro. A CFL condition for characteristic-based methods. Applied Mathematics Letters. Vol. 2, pp: 57-60, 1989.
https://doi.org/10.1016/0893-9659(89)90117-1

[41] Eleuterio F. Toro. A Weighted Average Flux method for hyperbolic conservation laws. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. Vol. 423, pp: 401-418, 1989.
https://doi.org/10.1098/rspa.1989.0062

[40] Eleuterio F. Toro, A. B. Crawley A. D. Fitt and J. A. Ashton. Contrasting numerical methods for two- dimensional two-phase internal ballistics test problems. Proceedings of the 11th International Symposium on Ballistics. Brussels, Belgium, May 1989.

[39] Eleuterio F. Toro. A numerical technique for reactive two-phase flows with strong shocks. Proceedings of the 17th International Symposium on Shock Tubes and Waves. Lehigh University, USA, July 19th to 21st, 1989.

[38] Eleuterio F. Toro. Riemann-problem based techniques for computing reactive two-phase flows. Lecture Notes in Physics. Numerical Combustion. Springer-Verlag. Vol. 351, pp: 472-481. Dervieux and Larrouturrou (Editors), 1989.

[37] Eleuterio F. Toro. TVD regions for the weighted average flux (WAF) method as applied to a model hyperbolic conservation law. Technical report CoA 8907. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. June, 1989.

[36] Eleuterio F. Toro. Random choice based hybrid schemes for one and twodimensional gas dynamics. Notes on Numerical Fluid Mechanics. Vol. 24, pp: 630- 639. Vieweg, Braunschweig, Germany. 1989.
DOI https://doi.org/10.1007/978-3-322-87869-4_61

[35] Eleuterio F. Toro and P. L. Roe. A hybrid scheme for the Euler equations using the random choice and Roe’s methods. Numerical Methods for Fluid Dynamics III. The Institute of Mathematics and its Applications Conference Series. Vol. 17, pp: 391-402. K. W. Morton and M. Baines (Editors), 1989.

 

1988

[34] Eleuterio F. Toro. Random choice-based hybrid methods for one and two dimensional gas dynamics. Technical report CoA 8801. Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology. UK. January, 1988.

[33] Eleuterio F. Toro and L. G. Simmonds. Development of numerical techniques for computing detonations in solids modelled by the reactive Euler equations. Technical report CoA NFP8801. College of Aeronautics, Cranfield Institute of Technology. UK. January, 1988.

[32] Eleuterio F. Toro. Riemann problems associated with two-phase flows: Part I. Technical report CoA 8815. College of Aeronautics, Cranfield Institute of Technology. UK. January, 1988.

 

1987

[31] Eleuterio F. Toro. Towards two-dimensional high-resolution codes for interior ballistics. In Proceedings of the Anglo-German Data Exchange Conference. Fort Halstead, UK. July, 1987.

[30] Eleuterio F. Toro and P. L. Roe. A hybridised higher-order random choice method for quasi-linear hyperbolic systems. In Proceedings of the 16th International Symposium on Shock Tubes and Waves. Aachen, Germany, July, 1987, pp: 701-708. Groenig (Editor), 1987. 1988stw..proc..701T

[29] Eleuterio F. Toro and J. F. Clarke. On the flow produced by massive gasification in a tube. In Proceedings of the 16th International Symposium on Shock Tubes and Waves. Aachen, Germany, July, 1987, pp: 701-708. Groenig (Editor), 1987.

[28] Eleuterio F. Toro. The random choice method on a non-staggered grid utilising an efficient Riemann solver. Technical report CoA 8708. College of Aeronautics, Cranfield Institute of Technology. UK. May, 1987.

[27] Eleuterio F. Toro. A fast Riemann solver with constant covolume applied to the random choice method. Technical report CoA 8719. College of Aeronautics, Cranfield Institute of Technology. UK. October, 1987.

[26] Eleuterio F. Toro, J. F. Clarke, P. L. Roe and L. G. Simmonds. Numerical studies of a detonation analogue. Paper presented at the First Detonics Meeting, Shrivenham. UK. September 23rd to 24th, 1987.

 

1986

[25] J. F. Clarke, P. L. Roe, L. G. Simmonds and Eleuterio F. Toro. Numerical studies of a detonation analogue. Technical report CoA NFP86/26. College of Aeronautics, Cranfield Institute of Technology. UK. November, 1986.

[24] Eleuterio F. Toro and M. J. O’Carroll. Transition bifurcation branches in non-linear water waves. International Journal for Numerical Methods in Fluids. Vol. 6, pages 219- 228, 1986.
https://doi.org/10.1002/fld.1650060404

[23] Eleuterio F. Toro. Mesh effects on the computation of non-linear gravity waves of arbitrary discharge. International Journal for Numerical Methods in Fluids. Vol. 6, No. 7, pp: 479-494, 1986.
https://doi.org/10.1002/fld.1650060706

[22] Eleuterio F. Toro. Numerical studies of interior ballistic behaviour. In Proceedings of the Anglo- German Data Exchange Conference. Nuremberg, W. Germany, June 2nd to 6th, 1986.

[21] Eleuterio F. Toro. A new numerical technique for quasi-linear hyperbolic systems of conservation laws. Technical report CoA 8626. College of Aeronautics, Cranfield Institute of Technology. UK. December, 1986.

 

1985

[20] Eleuterio F. Toro and M. J. O’Carroll. Mesh effects on the computation of small amplitude water waves. International Journal for Numerical Methods in Fluids. Vol. 5, No. 6, 1985. 505-513.
https://doi.org/10.1002/fld.1650050602

[19] Eleuterio F. Toro. Numerical simulation of early-phase propellant burning. In Proceedings of the Anglo-German Data Exchange Conference. Fort Halstead, UK. June, 1985.

[18] Eleuterio F. Toro and J. F. Clarke. Flows generated by burning of solid propellants. Lecture Notes in Physics. Springer-Verlag. Glowinski, Larrouturou and Teman (Editors). Vol. 241, pp: 192-205, 1985.

[17] Eleuterio F. Toro. Mesh effects on the computation of non-linear gravity waves of arbitrary discharge. Technical report CoA 8501. College of Aeronautics, Cranfield Institute of Technology. UK. 1985.

[16] Eleuterio F. Toro. Notes on the random choice method. Technical report CoA NFP85/6. College of Aeronautics, Cranfield Institute of Technology. UK. 1985.

[15] Eleuterio F. Toro and J. F. Clarke. Application of the random choice method to computing problems of solid propellant combustion in a closed vessel. Technical report CoA NFP85/16. College of Aeronautics, Cranfield Institute of Technology. UK. October, 1985.

[14] Eleuterio F. Toro. Roe’s method in gas dynamical problems associated with the combustion of high- energy solids in a closed tube. Technical report CoA NFP86/18. College of Aeronautics, Cranfield Institute of Technology. UK. March, 1985.

 

1984

[13] M. J. O’Carroll and Eleuterio F. Toro. Numerical computations of critical flow over a weir. International Journal for Numerical Methods in Fluids. Vol. 4, No. 6, pp: 499- 509, 1984.
https://doi.org/10.1002/fld.1650040604

[12] Eleuterio F. Toro and M. J. O’Carroll. A simple variational approximation of shallow water type. Applied Mathematical Modelling. Vol. 8, pp: 261-264, 1984.
DOI: 10.1016/0307-904X(84)90160-4

[11] Eleuterio F. Toro and M. J. O’Carroll. A Kantorovich computational method for free-surface gravity flows. International Journal for Numerical Methods in Fluids. Vol. 4, No 12, pp:1137-1148. December 1984.
DOI: 10.1002/fld.1650041204

[10] Eleuterio F. Toro and M. J. O’Carroll. Types of stationary points in a variational formulation of shallow water flows. Journal of Engineering Mathematics. Vol. 18, Issue 3, pp: 195-205, 1984.

[9] Eleuterio F. Toro. Transition bifurcation branches in non-linear water waves. Technical report CoA 8414. College of Aeronautics, Cranfield Institute of Technology. UK. 1984.

[8] Eleuterio F. Toro and J. F. Clarke. The flow created by rapid gasification in an enclosed space. Technical report CoA NFP84/11. College of Aeronautics, Cranfield Institute of Technology. UK. June, 1984.

 

1982

[7] Eleuterio F. Toro. Finite element computation of free surface problems. PhD Thesis. Mathematics Department, Teesside Polytechnic, Middlesbrough, UK. Supervisor: Prof. M. J. O’Carroll. April, 1982.

 

1981

[6] Eleuterio F. Toro and M. J. O’Carroll. On the nature of the stationary point in finite element determination of open channel flows. In Proceedings of the International Conference on Numerical Methods in Laminar and Turbulent Flows, pp: 1111-1118. Venice, Italy, July, 1981.

[5] Eleuterio F. Toro. On the nature of solutions of two-dimensional open channel flows. Technical report TMPR 81-1. Department of Mathematics, Teesside Polytechnic, Middlesbrough, UK. 1981.

 

1980

[4] Eleuterio F. Toro. Two-dimensional open channel flows II. Technical report TPMR 80-87. Department of Mathematics, Teesside Polytechnic, Middlesbrough, UK. 1980.

 

1979

[3] Eleuterio F. Toro. Two-dimensional open channel flows I. Technical report TPMR 79-8. Department of Mathematics, Teesside Polytechnic, Middlesbrough, UK. 1979.

 

1978

[2] Eleuterio F. Toro. On the support of solutions to a class of non-linear parabolic equations. Masters Thesis. Department of Mathematics, University of Dundee, UK. Supervisor: Prof. B. D. Sleemann, FRSE. September, 1978.

 

1967

[1] Sergio E. Alonso Carrillo, Eleuterio F. Toro Muñoz and Dagoberto E. Vásquez Leal. Estudio Crítico de la Realidad y Proyecciones del Plan Victoria. Tesis para optar al título de Profesor de Educación Primaria. Supervisor: Profesor de Educación Sr. Gilberto Carrasco C. Escuela Normal de Victoria, Chile, 1967.