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Author ID: toro.eleuterio-f Recent zbMATH articles by "Toro, Eleuterio F."
Published as: Toro, E. F.; Toro, Eleuterio F.; Toro, Eleuterio
all top 5

Co-Authors

26 single-authored
17 Titarev, Vladimir A.
16 Dumbser, Michael
11 Montecinos, Gino I.
10 Castro, Cristóbal E.
7 Romenskii, Evgenii I.
7 Vázquez-Cendón, María Elena
6 Müller, Lucas O.
6 O’Carroll, M. J.
6 Siviglia, Annunziato
6 Tokareva, Svetlana A.
5 Hidalgo, Arturo
5 Parés Madroñal, Carlos
4 Billett, S. J.
4 Castro, Manuel J.
4 Jiang, Song
3 Armanini, Aronne
3 Busto, Saray
3 Causon, D. M.
3 Cheng, Junbo
3 Contarino, Christian
3 Ferrari, Angela
3 Munz, Claus-Dieter
2 Balsara, Dinshaw S.
2 Clarke, John F.
2 Ferrín, Jose Luis
2 Ivings, M. J.
2 Jia, Yueling
2 Käser, Martin
2 Lee, Bok Jik
2 Millington, R. C.
2 Nikiforakis, Nikolaos
2 Pardo, Alberto
2 Schwartzkopff, Thomas
2 Slaouti, A. S.
2 Speares, W.
2 Stecca, Guglielmo
2 Tang, Weijun
2 Tian, Baolin
2 Yu, Ming
2 Zeidan, Dia
1 Antuono, Matteo
1 Bellamoli, Francesca
1 Bermúdez, Alfredo
1 Bernetti, R.
1 Bertazzi, Laura
1 Berthon, Christophe
1 Billet, S. J.
1 Bonmassari, R.
1 Borsche, Raul
1 Caiazzo, Alfonso
1 Casulli, Vincenzo
1 Chen, Gui-Qiang G.
1 Chiapolino, Alexandre
1 Chou, Cheng-Chiang
1 Del Grosso, Alessia
1 Demattè, R.
1 Demidenko, Gennadiĭ Vladimirovich
1 Drikakis, Dimitris
1 Enaux, Cedric
1 Farina, Angiolo
1 Fraccarollo, Luigi
1 Fusi, Lorenzo
1 Ghitti, Beatrice
1 Grosso, Giovanna
1 Haacke, E. Mark
1 Kall, Jochen
1 Karni, Smadar
1 Le, Minh Hoang
1 Lecaros, Rodrigo
1 López-Ríos, Juan C.
1 Mikelić, Andro
1 Moraga, Nelson O.
1 Nejad, Lida A. M.
1 Ortega, Jaime H.
1 Petrella, M.
1 Quirk, James J.
1 Resnyansky, A. D.
1 Roe, Philip L.
1 Rosso, Fabio
1 Russo, Giovanni
1 Saavedra, Laura
1 Saccomandi, Giuseppe
1 Saggiorato, B.
1 Saunders, Robert M.
1 Saurel, Richard
1 Scoz, Alessia
1 Sequeira, Adélia
1 Simmonds, L. G.
1 Spilimbergo, Alessandra
1 Spiller, C.
1 Spruce, M.
1 Strocchi, M.
1 Takakura, Yoko
1 Tello, Lourdes
1 Vanzo, Davide
1 Vignoli, Giulio
1 Zambra, C. E.
all top 5

Serials

35 Journal of Computational Physics
16 International Journal for Numerical Methods in Fluids
9 Communications in Computational Physics
8 Computers and Fluids
5 Applied Mathematics and Computation
5 Journal of Scientific Computing
3 IMA Journal of Numerical Analysis
3 Shock Waves
2 Journal of Mathematical Biology
2 International Journal for Numerical Methods in Engineering
2 Applied Numerical Mathematics
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 Philosophical Transactions of the Royal Society of London. Series A
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Quarterly of Applied Mathematics
1 Applied Mathematics Letters
1 Applied Mathematical Modelling
1 SIAM Journal on Scientific Computing
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 International Journal of Computational Methods
1 Journal of Hyperbolic Differential Equations
1 Fluid Mechanics and its Applications
1 Lecture Notes in Mathematics
1 International Journal for Numerical Methods in Biomedical Engineering
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 5,163 times in 2,616 Documents Cited by Year
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 3rd ed. Zbl 1227.76006
Toro, Eleuterio F.
618
2009
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 2nd ed. Zbl 0923.76004
Toro, Eleuterio F.
455
1999
Restoration of the contact surface in the HLL-Riemann solver. Zbl 0811.76053
Toro, E. F.; Spruce, M.; Speares, W.
428
1994
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. Zbl 0888.76001
Toro, Eleuterio F.
322
1997
Shock-capturing methods for free-surface shallow flows. Zbl 0996.76003
Toro, Eleuterio F.
250
2001
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075
Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter
234
2008
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
155
2002
ADER schemes for three-dimensional non-linear hyperbolic systems. Zbl 1060.65641
Titarev, V. A.; Toro, E. F.
144
2005
Finite-volume WENO schemes for three-dimensional conservation laws. Zbl 1059.65078
Titarev, V. A.; Toro, E. F.
134
2004
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Zbl 1124.65074
Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F.
134
2007
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070
Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F.
127
2008
Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061
Toro, E. F.; Titarev, V. A.
109
2002
Towards very high order Godunov schemes. Zbl 0989.65094
Toro, E. F.; Millington, R. C.; Nejad, L. A. M.
96
2001
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
94
2011
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
92
2009
Derivative Riemann solvers for systems of conservation laws and ader methods. Zbl 1087.65590
Toro, E. F.; Titarev, V. A.
83
2006
A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270
Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne
79
2009
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1391.76440
Tokareva, S. A.; Toro, E. F.
72
2010
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
70
2011
FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
64
2010
Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. Zbl 1132.76027
Bernetti, R.; Titarev, V. A.; Toro, E. F.
59
2008
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
56
2002
Flux splitting schemes for the Euler equations. Zbl 1365.76243
Toro, E. F.; Vázquez-Cendón, M. E.
54
2012
ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions. Zbl 1061.65103
Toro, E. F.; Titarev, V. A.
48
2005
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
48
2000
Solvers for the high-order Riemann problem for hyperbolic balance laws. Zbl 1148.65066
Castro, C. E.; Toro, E. F.
46
2008
Riemann problems and the WAF method for solving the two-dimensional shallow water equations. Zbl 0747.76027
Toro, E. F.
45
1992
FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377
Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael
41
2008
On WAF-type schemes for multidimensional hyperbolic conservation laws. Zbl 0873.65088
Billett, S. J.; Toro, E. F.
38
1997
A weighted average flux method for hyperbolic conservation laws. Zbl 0674.76060
Toro, E. F.
36
1989
On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107
Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F.
34
2010
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Zbl 1323.92066
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F.
34
2013
TVD fluxes for the high-order ADER schemes. Zbl 1096.76029
Toro, E. F.; Titarev, V. A.
32
2005
Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures. Zbl 1145.35430
Romenski, E.; Resnyansky, A. D.; Toro, E. F.
29
2007
WENO schemes based on upwind and centred TVD fluxes. Zbl 1134.65361
Titarev, V. A.; Toro, E. F.
29
2005
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268
Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F.
27
2012
Advection-diffusion-reaction equations: hyperbolization and high-order ADER discretizations. Zbl 1307.65117
Toro, Eleuterio F.; Montecinos, Gino I.
26
2014
On Riemann solvers for compressible liquids. Zbl 0918.76047
Ivings, M. J.; Causon, D. M.; Toro, E. F.
26
1998
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
25
2013
MUSTA-type upwind fluxes for nonlinear elasticity. Zbl 1159.74046
Titarev, V. A.; Romenski, E.; Toro, E. F.
25
2008
A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver. Zbl 1433.76166
Tian, Baolin; Toro, E. F.; Castro, C. E.
24
2011
A fast Riemann solver with constant covolume applied to the random choice method. Zbl 0673.76090
Toro, E. F.
23
1989
MUSTA fluxes for systems of conservation laws. Zbl 1097.65091
Toro, E. F.; Titarev, V. A.
23
2006
Numerical study of wave propagation in compressible two-phase flow. Zbl 1241.76338
Zeidan, D.; Romenski, E.; Slaouti, A.; Toro, E. F.
23
2007
Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. Zbl 1323.92065
Montecinos, Gino I.; Müller, Lucas O.; Toro, Eleuterio F.
22
2014
Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. Zbl 1349.65378
Montecinos, Gino I.; Toro, Eleuterio F.
22
2014
ADER finite volume schemes for nonlinear reaction-diffusion equations. Zbl 1155.65065
Toro, Eleuterio F.; Hidalgo, Arturo
21
2009
Conservative models and numerical methods for compressible two-phase flow. Zbl 1203.76095
Romenski, Evgeniy; Drikakis, Dimitris; Toro, Eleuterio
20
2010
A Riemann solver and upwind methods for a two-phase flow model in non-conservative form. Zbl 1086.76046
Castro, C. E.; Toro, E. F.
20
2006
ADER schemes for the shallow water equations in channel with irregular bottom elevation. Zbl 1132.76035
Vignoli, G.; Titarev, V. A.; Toro, E. F.
19
2008
Numerical computation of two-dimensional unsteady detonation waves in high energy solids. Zbl 0770.76040
Clarke, J. F.; Karni, S.; Quirk, J. J.; Roe, P. L.; Simmonds, L. G.; Toro, E. F.
18
1993
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
17
2012
The weighted average flux method applied to the Euler equations. Zbl 0767.76043
Toro, E. F.
16
1992
A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. Zbl 1349.65279
Cheng, Jun Bo; Toro, Eleuterio F.; Jiang, Song; Tang, Weijun
16
2013
A linearized Riemann solver for the time-dependent Euler equations of gas dynamics. Zbl 0825.76702
Toro, E. F.
15
1991
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Zbl 1410.76487
Toro, Eleuterio F.
15
2016
A novel numerical flux for the 3D Euler equations with general equation of state. Zbl 1349.76398
Toro, Eleuterio F.; Castro, Cristóbal E.; Lee, Bok Jik
15
2015
Primitive, conservative and adaptive schemes for hyperbolic conservation laws. Zbl 0958.76062
Toro, E. F.
14
1998
PRICE: Primitive centred schemes for hyperbolic systems. Zbl 1078.76566
Toro, E. F.; Siviglia, A.
14
2003
Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078
Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F.
14
2007
Three-dimensional flow evolution after a dam break. Zbl 1205.76228
Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A.
14
2010
Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. Zbl 1422.65203
Busto, S.; Toro, E. F.; Vázquez-Cendón, M. E.
14
2016
Space-time adaptive numerical methods for geophysical applications. Zbl 1192.86006
Castro, C. E.; Käser, M.; Toro, E. F.
13
2009
Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. Zbl 1349.76354
Lee, Bok Jik; Toro, Eleuterio F.; Castro, Cristóbal E.; Nikiforakis, Nikolaos
12
2013
Analysis of ADER and ADER-WAF schemes. Zbl 1119.65083
Titarev, V. A.; Toro, E. F.
12
2007
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. Zbl 1380.76052
Busto, S.; Ferrín, J. L.; Toro, E. F.; Vázquez-Cendón, M. E.
11
2018
A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems. Zbl 1390.76558
Cheng, Jun-Bo; Toro, Eleuterio F.; Jiang, Song; Yu, Ming; Tang, Weijun
11
2015
Hyperbolicity and one-dimensional waves in compressible two-phase flow models. Zbl 1136.76702
Romenski, E.; Toro, E. F.
10
2004
Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076
Chen, Gui-Qiang; Toro, Eleuterio F.
9
2004
Riemann solvers: Linearizations and adaption. Zbl 0801.76062
Toro, E. F.
9
1993
MUSTA: a multi-stage numerical flux. Zbl 1101.65088
Toro, E. F.
9
2006
Numerical and analytical study of an atherosclerosis inflammatory disease model. Zbl 1293.35343
Hidalgo, A.; Tello, L.; Toro, E. F.
8
2014
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. Zbl 1349.76399
Toro, Eleuterio F.; Montecinos, Gino I.
8
2015
Junction-generalized Riemann problem for stiff hyperbolic balance laws in networks: an implicit solver and ADER schemes. Zbl 1349.76318
Contarino, Christian; Toro, Eleuterio F.; Montecinos, Gino I.; Borsche, Raul; Kall, Jochen
8
2016
A new stable version of the SPH method in Lagrangian coordinates. Zbl 1364.76175
Ferrari, A.; Dumbser, M.; Toro, E. F.; Armanini, A.
7
2008
Exploring various flux vector splittings for the magnetohydrodynamic system. Zbl 1349.76885
Balsara, Dinshaw S.; Montecinos, Gino I.; Toro, Eleuterio F.
7
2016
A novel numerical method of high-order accuracy for flow in unsaturated porous media. Zbl 1242.76188
Zambra, C. E.; Dumbser, M.; Toro, E. F.; Moraga, N. O.
6
2012
Upwind-biased FORCE schemes with applications to free-surface shallow flows. Zbl 1426.35192
Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F.
6
2010
Direct Riemann solvers for the time-dependent Euler equations. Zbl 0837.76051
Toro, E. F.
6
1995
Computational haemodynamics in stenotic internal jugular veins. Zbl 1350.92012
Caiazzo, Alfonso; Montecinos, Gino; Müller, Lucas O.; Haacke, E. Mark; Toro, Eleuterio F.
5
2015
The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C.
5
2001
MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. Zbl 1073.65553
Titarev, V. A.; Toro, E. F.
5
2005
A second-order cell-centered Lagrangian method for two-dimensional elastic-plastic flows. Zbl 07414382
Cheng, Jun-Bo; Jia, Yueling; Jiang, Song; Toro, Eleuterio F.; Yu, Ming
5
2017
On the exact solution of the Riemann problem for blood flow in human veins, including collapse. Zbl 1411.76182
Spiller, C.; Toro, E. F.; Vázquez-Cendón, M. E.; Contarino, C.
4
2017
Riemann solvers with evolved initial conditions. Zbl 1108.65091
Toro, E. F.
4
2006
Pollutant transport by shallow water equations on unstructured meshes: hyperbolization of the model and numerical solution via a novel flux splitting scheme. Zbl 1349.76401
Vanzo, Davide; Siviglia, Annunziato; Toro, Eleuterio F.
4
2016
Solver for the generalized Riemann problem for balance laws with stiff source terms: the scalar case. Zbl 1306.65251
Montecinos, Gino; Toro, Eleuterio
4
2012
Bounds for wave speeds in the Riemann problem: direct theoretical estimates. Zbl 07336663
Toro, E. F.; Müller, L. O.; Siviglia, A.
4
2020
A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1415.76480
Tokareva, S. A.; Toro, E. F.
3
2016
Viscous flux limiters. Zbl 0761.76063
Toro, E. F.
3
1992
Unsplit WAF-type schemes for three-dimensional hyperbolic conservation laws. Zbl 0947.76060
Billett, S. J.; Toro, E. F.
3
1998
Model hyperbolic systems with source terms: Exact and numerical solutions. Zbl 0989.65095
Toro, E. F.; Vazquez-Cendon, M. E.
3
2001
A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes. Zbl 0872.65082
Toro, E. F.; Billett, S. J.
3
1997
Fully discrete high-order shock-capturing numerical schemes. Zbl 0864.76060
Shi, J.; Toro, E. F.
3
1996
A numerical method for junctions in networks of shallow-water channels. Zbl 1427.76156
Bellamoli, Francesca; Müller, Lucas O.; Toro, Eleuterio F.
2
2018
Lectures on hyperbolic equations and their numerical approximation. Zbl 1448.35002
Toro, Eleuterio F.
2
2018
A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system. Zbl 1411.76183
Strocchi, M.; Contarino, C.; Zhang, Q.; Bonmassari, R.; Toro, E. F.
2
2017
A linearized Riemann solver for the steady supersonic Euler equations. Zbl 0767.76044
Toro, Eleuterio F.; Chou, Cheng-Chiang
2
1993
Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. Zbl 1437.65119
Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A.
2
2020
An ADER-type scheme for a class of equations arising from the water-wave theory. Zbl 1390.76494
Montecinos, G. I.; López-Rios, J. C.; Lecaros, R.; Ortega, J. H.; Toro, E. F.
2
2016
Bounds for wave speeds in the Riemann problem: direct theoretical estimates. Zbl 07336663
Toro, E. F.; Müller, L. O.; Siviglia, A.
4
2020
Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. Zbl 1437.65119
Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A.
2
2020
Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries. Zbl 1452.76130
Petrella, M.; Tokareva, S.; Toro, E. F.
1
2019
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. Zbl 1380.76052
Busto, S.; Ferrín, J. L.; Toro, E. F.; Vázquez-Cendón, M. E.
11
2018
A numerical method for junctions in networks of shallow-water channels. Zbl 1427.76156
Bellamoli, Francesca; Müller, Lucas O.; Toro, Eleuterio F.
2
2018
Lectures on hyperbolic equations and their numerical approximation. Zbl 1448.35002
Toro, Eleuterio F.
2
2018
A second-order cell-centered Lagrangian method for two-dimensional elastic-plastic flows. Zbl 07414382
Cheng, Jun-Bo; Jia, Yueling; Jiang, Song; Toro, Eleuterio F.; Yu, Ming
5
2017
On the exact solution of the Riemann problem for blood flow in human veins, including collapse. Zbl 1411.76182
Spiller, C.; Toro, E. F.; Vázquez-Cendón, M. E.; Contarino, C.
4
2017
A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system. Zbl 1411.76183
Strocchi, M.; Contarino, C.; Zhang, Q.; Bonmassari, R.; Toro, E. F.
2
2017
A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1366.76063
Tokareva, Svetlana; Toro, Eleuterio
1
2017
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Zbl 1410.76487
Toro, Eleuterio F.
15
2016
Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. Zbl 1422.65203
Busto, S.; Toro, E. F.; Vázquez-Cendón, M. E.
14
2016
Junction-generalized Riemann problem for stiff hyperbolic balance laws in networks: an implicit solver and ADER schemes. Zbl 1349.76318
Contarino, Christian; Toro, Eleuterio F.; Montecinos, Gino I.; Borsche, Raul; Kall, Jochen
8
2016
Exploring various flux vector splittings for the magnetohydrodynamic system. Zbl 1349.76885
Balsara, Dinshaw S.; Montecinos, Gino I.; Toro, Eleuterio F.
7
2016
Pollutant transport by shallow water equations on unstructured meshes: hyperbolization of the model and numerical solution via a novel flux splitting scheme. Zbl 1349.76401
Vanzo, Davide; Siviglia, Annunziato; Toro, Eleuterio F.
4
2016
A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1415.76480
Tokareva, S. A.; Toro, E. F.
3
2016
An ADER-type scheme for a class of equations arising from the water-wave theory. Zbl 1390.76494
Montecinos, G. I.; López-Rios, J. C.; Lecaros, R.; Ortega, J. H.; Toro, E. F.
2
2016
A novel numerical flux for the 3D Euler equations with general equation of state. Zbl 1349.76398
Toro, Eleuterio F.; Castro, Cristóbal E.; Lee, Bok Jik
15
2015
A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems. Zbl 1390.76558
Cheng, Jun-Bo; Toro, Eleuterio F.; Jiang, Song; Yu, Ming; Tang, Weijun
11
2015
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. Zbl 1349.76399
Toro, Eleuterio F.; Montecinos, Gino I.
8
2015
Computational haemodynamics in stenotic internal jugular veins. Zbl 1350.92012
Caiazzo, Alfonso; Montecinos, Gino; Müller, Lucas O.; Haacke, E. Mark; Toro, Eleuterio F.
5
2015
Advection-diffusion-reaction equations: hyperbolization and high-order ADER discretizations. Zbl 1307.65117
Toro, Eleuterio F.; Montecinos, Gino I.
26
2014
Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. Zbl 1323.92065
Montecinos, Gino I.; Müller, Lucas O.; Toro, Eleuterio F.
22
2014
Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. Zbl 1349.65378
Montecinos, Gino I.; Toro, Eleuterio F.
22
2014
Numerical and analytical study of an atherosclerosis inflammatory disease model. Zbl 1293.35343
Hidalgo, A.; Tello, L.; Toro, E. F.
8
2014
Roe-type Riemann solvers for general hyperbolic systems. Zbl 1455.65144
Castro, Cristóbal E.; Toro, Eleuterio F.
1
2014
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Zbl 1323.92066
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F.
34
2013
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
25
2013
A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. Zbl 1349.65279
Cheng, Jun Bo; Toro, Eleuterio F.; Jiang, Song; Tang, Weijun
16
2013
Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. Zbl 1349.76354
Lee, Bok Jik; Toro, Eleuterio F.; Castro, Cristóbal E.; Nikiforakis, Nikolaos
12
2013
Flux splitting schemes for the Euler equations. Zbl 1365.76243
Toro, E. F.; Vázquez-Cendón, M. E.
54
2012
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268
Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F.
27
2012
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
17
2012
A novel numerical method of high-order accuracy for flow in unsaturated porous media. Zbl 1242.76188
Zambra, C. E.; Dumbser, M.; Toro, E. F.; Moraga, N. O.
6
2012
Solver for the generalized Riemann problem for balance laws with stiff source terms: the scalar case. Zbl 1306.65251
Montecinos, Gino; Toro, Eleuterio
4
2012
A finite volume upwind-biased centred scheme for hyperbolic systems of conservation laws: application to shallow water equations. Zbl 1373.76146
Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F.
2
2012
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
94
2011
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
70
2011
A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver. Zbl 1433.76166
Tian, Baolin; Toro, E. F.; Castro, C. E.
24
2011
High-order accuracy: monotonicity and non-linear methods. Zbl 1260.65079
Toro, E. F.
1
2011
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1391.76440
Tokareva, S. A.; Toro, E. F.
72
2010
FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
64
2010
On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107
Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F.
34
2010
Conservative models and numerical methods for compressible two-phase flow. Zbl 1203.76095
Romenski, Evgeniy; Drikakis, Dimitris; Toro, Eleuterio
20
2010
Three-dimensional flow evolution after a dam break. Zbl 1205.76228
Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A.
14
2010
Upwind-biased FORCE schemes with applications to free-surface shallow flows. Zbl 1426.35192
Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F.
6
2010
The Riemann problem for the dispersive nonlinear shallow water equations. Zbl 1364.35268
Grosso, Giovanna; Antuono, Matteo; Toro, Eleuterio
1
2010
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 3rd ed. Zbl 1227.76006
Toro, Eleuterio F.
618
2009
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
92
2009
A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270
Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne
79
2009
ADER finite volume schemes for nonlinear reaction-diffusion equations. Zbl 1155.65065
Toro, Eleuterio F.; Hidalgo, Arturo
21
2009
Space-time adaptive numerical methods for geophysical applications. Zbl 1192.86006
Castro, C. E.; Käser, M.; Toro, E. F.
13
2009
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075
Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter
234
2008
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070
Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F.
127
2008
Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. Zbl 1132.76027
Bernetti, R.; Titarev, V. A.; Toro, E. F.
59
2008
Solvers for the high-order Riemann problem for hyperbolic balance laws. Zbl 1148.65066
Castro, C. E.; Toro, E. F.
46
2008
FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377
Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael
41
2008
MUSTA-type upwind fluxes for nonlinear elasticity. Zbl 1159.74046
Titarev, V. A.; Romenski, E.; Toro, E. F.
25
2008
ADER schemes for the shallow water equations in channel with irregular bottom elevation. Zbl 1132.76035
Vignoli, G.; Titarev, V. A.; Toro, E. F.
19
2008
A new stable version of the SPH method in Lagrangian coordinates. Zbl 1364.76175
Ferrari, A.; Dumbser, M.; Toro, E. F.; Armanini, A.
7
2008
The derivative Riemann problem for the Baer-Nunziato equations. Zbl 1372.35184
Toro, E. F.; Castro, C. E.
1
2008
ADER DG and FV schemes for shallow water flows. Zbl 1308.76181
Castro, Cristóbal E.; Toro, Eleuterio F.
1
2008
Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Zbl 1188.65114
Castro, M. J.; Parés, C.; Pardo, A.; Toro, E. F.
1
2008
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Zbl 1124.65074
Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F.
134
2007
Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures. Zbl 1145.35430
Romenski, E.; Resnyansky, A. D.; Toro, E. F.
29
2007
Numerical study of wave propagation in compressible two-phase flow. Zbl 1241.76338
Zeidan, D.; Romenski, E.; Slaouti, A.; Toro, E. F.
23
2007
Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078
Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F.
14
2007
Analysis of ADER and ADER-WAF schemes. Zbl 1119.65083
Titarev, V. A.; Toro, E. F.
12
2007
Derivative Riemann solvers for systems of conservation laws and ader methods. Zbl 1087.65590
Toro, E. F.; Titarev, V. A.
83
2006
MUSTA fluxes for systems of conservation laws. Zbl 1097.65091
Toro, E. F.; Titarev, V. A.
23
2006
A Riemann solver and upwind methods for a two-phase flow model in non-conservative form. Zbl 1086.76046
Castro, C. E.; Toro, E. F.
20
2006
MUSTA: a multi-stage numerical flux. Zbl 1101.65088
Toro, E. F.
9
2006
Riemann solvers with evolved initial conditions. Zbl 1108.65091
Toro, E. F.
4
2006
ADER schemes for three-dimensional non-linear hyperbolic systems. Zbl 1060.65641
Titarev, V. A.; Toro, E. F.
144
2005
ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions. Zbl 1061.65103
Toro, E. F.; Titarev, V. A.
48
2005
TVD fluxes for the high-order ADER schemes. Zbl 1096.76029
Toro, E. F.; Titarev, V. A.
32
2005
WENO schemes based on upwind and centred TVD fluxes. Zbl 1134.65361
Titarev, V. A.; Toro, E. F.
29
2005
MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. Zbl 1073.65553
Titarev, V. A.; Toro, E. F.
5
2005
Finite-volume WENO schemes for three-dimensional conservation laws. Zbl 1059.65078
Titarev, V. A.; Toro, E. F.
134
2004
Hyperbolicity and one-dimensional waves in compressible two-phase flow models. Zbl 1136.76702
Romenski, E.; Toro, E. F.
10
2004
Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076
Chen, Gui-Qiang; Toro, Eleuterio F.
9
2004
PRICE: Primitive centred schemes for hyperbolic systems. Zbl 1078.76566
Toro, E. F.; Siviglia, A.
14
2003
Arbitrarily accurate non-oscillatory schemes for nonlinear scalar conservation laws with source terms. II. Zbl 1157.76365
Takakura, Yoko; Toro, Eleuterio F.
1
2003
Exact solution of some hyperbolic systems with source terms. Zbl 1047.35029
Vázquez-Cendón, M. E.; Toro, E. F.
1
2003
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
155
2002
Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061
Toro, E. F.; Titarev, V. A.
109
2002
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
56
2002
Shock-capturing methods for free-surface shallow flows. Zbl 0996.76003
Toro, Eleuterio F.
250
2001
Towards very high order Godunov schemes. Zbl 0989.65094
Toro, E. F.; Millington, R. C.; Nejad, L. A. M.
96
2001
The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C.
5
2001
Model hyperbolic systems with source terms: Exact and numerical solutions. Zbl 0989.65095
Toro, E. F.; Vazquez-Cendon, M. E.
3
2001
Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. Zbl 0978.00036
1
2001
Centered unsplit finite volume schemes for multi-dimensional hyperbolic conservation laws. Zbl 0990.65095
Toro, E. F.; Hu, W.
1
2001
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
48
2000
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 2nd ed. Zbl 0923.76004
Toro, Eleuterio F.
455
1999
On Riemann solvers for compressible liquids. Zbl 0918.76047
Ivings, M. J.; Causon, D. M.; Toro, E. F.
26
1998
Primitive, conservative and adaptive schemes for hyperbolic conservation laws. Zbl 0958.76062
Toro, E. F.
14
1998
Unsplit WAF-type schemes for three-dimensional hyperbolic conservation laws. Zbl 0947.76060
Billett, S. J.; Toro, E. F.
3
1998
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. Zbl 0888.76001
Toro, Eleuterio F.
322
1997
On WAF-type schemes for multidimensional hyperbolic conservation laws. Zbl 0873.65088
Billett, S. J.; Toro, E. F.
38
1997
...and 20 more Documents
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Cited by 3,546 Authors

116 Dumbser, Michael
79 Toro, Eleuterio F.
35 Balsara, Dinshaw S.
33 Munz, Claus-Dieter
31 Castro, Manuel J.
30 Parés Madroñal, Carlos
28 Boscheri, Walter
27 Xu, Kun
26 Qiu, Jianxian
26 Shu, Chi-Wang
26 Titarev, Vladimir A.
24 Liu, Tiegang
23 Adams, Nikolaus A.
23 Luo, Hong
22 Vázquez-Cendón, María Elena
21 Drikakis, Dimitris
21 Loubère, Raphaël
20 Li, Jiequan
20 Saurel, Richard
19 Berthon, Christophe
19 Garcia-Navarro, Pilar
19 Hérard, Jean-Marc
19 Murillo, Javier
18 Clain, Stéphane Louis
18 Fernández-Nieto, Enrique Domingo
18 Gassner, Gregor J.
17 Montecinos, Gino I.
17 Xiao, Feng
16 Zhu, Jun
15 Liang, Qiuhua
15 Romenskii, Evgenii I.
15 Yan, Chao
15 Zeidan, Dia
14 Abgrall, Rémi
14 Borsche, Raul
14 Chandrashekar, Praveen
14 Gavrilyuk, Sergey L.
14 Tavelli, Maurizio
13 Guermond, Jean-Luc
13 Jiang, Song
13 Kurganov, Alexander
13 Mai Duc Thanh
13 Popov, Boyan
12 Borthwick, Alistair G. L.
12 Castro-Díaz, Manuel Jesús
12 Khoo, Boo Cheong
12 Klingenberg, Christian
12 Nkonga, Boniface
12 Pan, Liang
12 Ren, Yuxin
12 Tian, Baolin
11 Busto, Saray
11 Chalons, Christophe
11 Coquel, Frédéric
11 Després, Bruno
11 Favrie, Nicolas
11 Gallardo, José M.
11 Hidalgo, Arturo
11 Kesserwani, Georges
11 Nogueira, Xesús
11 Sekhar, T. Raja
10 Capdeville, Guy
10 Daude, Frédéric
10 Deng, Xi
10 Deng, Xiaogang
10 Nishikawa, Hiroaki
10 Peshkov, Ilya M.
10 Rogers, Benedict D.
10 Seaïd, Mohammed
10 Semplice, Matteo
10 Shen, Zhijun
10 Tang, Huazhong
10 Tsoutsanis, Panagiotis
10 Zhang, Fan
9 Antuono, Matteo
9 Cheng, Jian
9 Galon, Pascal
9 Hurisse, Olivier
9 Kopriva, David Alan
9 Li, Gang
9 Li, Ruo
9 Lukáčová-Medvid’ová, Mária
9 Morales de Luna, Tomás
9 Shu, Chang
9 Shyue, Keh-Ming
9 Utyuzhnikov, Sergey V.
9 Warnecke, Gerald G.
9 Zanotti, Olindo
8 Caleffi, Valerio
8 Castro, Cristóbal E.
8 Colominas, Ignasi
8 Hantke, Maren
8 Helluy, Philippe
8 Jiang, Zhenhua
8 Kitamura, Keiichi
8 LeVeque, Randall J.
8 Müller, Lucas O.
8 Müller, Siegfried
8 Nikiforakis, Nikos
8 Nourgaliev, Robert R.
...and 3,446 more Authors
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Cited in 192 Serials

785 Journal of Computational Physics
384 Computers and Fluids
137 Journal of Scientific Computing
99 Computer Methods in Applied Mechanics and Engineering
92 International Journal for Numerical Methods in Fluids
77 Applied Mathematics and Computation
54 Computers & Mathematics with Applications
48 Journal of Fluid Mechanics
47 Applied Numerical Mathematics
47 Communications in Computational Physics
46 SIAM Journal on Scientific Computing
36 Applied Mathematical Modelling
33 International Journal of Computational Fluid Dynamics
26 Journal of Computational and Applied Mathematics
23 Computational Mathematics and Mathematical Physics
22 Shock Waves
21 International Journal for Numerical Methods in Engineering
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
20 Computer Physics Communications
15 Advances in Applied Mathematics and Mechanics
14 Mathematics of Computation
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Mathematical Problems in Engineering
13 European Journal of Mechanics. B. Fluids
12 Numerical Methods for Partial Differential Equations
11 Mathematics and Computers in Simulation
11 Computational Geosciences
11 Matematicheskoe Modelirovanie
11 International Journal of Computational Methods
10 Numerische Mathematik
9 Wave Motion
9 Advances in Computational Mathematics
9 Engineering Analysis with Boundary Elements
9 Journal of Hyperbolic Differential Equations
9 Communications on Applied Mathematics and Computation
8 Journal of Engineering Mathematics
8 SIAM Journal on Numerical Analysis
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8 Communications in Nonlinear Science and Numerical Simulation
8 Archives of Computational Methods in Engineering
8 Acta Mechanica Sinica
8 AMM. Applied Mathematics and Mechanics. (English Edition)
7 Quarterly of Applied Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Computational Mechanics
6 Mathematical and Computer Modelling
6 International Journal of Computer Mathematics
6 Combustion Theory and Modelling
6 Networks and Heterogeneous Media
5 Journal of Mathematical Analysis and Applications
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5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
5 Continuum Mechanics and Thermodynamics
5 International Journal of Numerical Methods for Heat & Fluid Flow
4 Acta Mechanica
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4 International Journal of Heat and Mass Transfer
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3 Doklady Mathematics
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3 Flow, Turbulence and Combustion
3 International Journal of Applied Mathematics and Computer Science
3 Journal of Turbulence
3 Nonlinear Analysis. Real World Applications
3 Journal of Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Advances in Engineering Sciences and Applied Mathematics
3 Nelineĭnaya Dinamika
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Journal of Computational and Theoretical Transport
3 International Journal on Finite Volumes
2 Astrophysics and Space Science
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Theoretical and Computational Fluid Dynamics
2 Chaos, Solitons and Fractals
2 Bulletin of the Polish Academy of Sciences. Technical Sciences
2 Meccanica
2 Studies in Applied Mathematics
2 Applied Mathematics Letters
2 SIAM Journal on Applied Mathematics
2 Computing and Visualization in Science
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