×

zbMATH — the first resource for mathematics

Toro, Eleuterio F.

Compute Distance To:
Author ID: toro.eleuterio-f Recent zbMATH articles by "Toro, Eleuterio F."
Published as: Toro, E. F.; Toro, Eleuterio F.; Toro, Eleuterio
Documents Indexed: 139 Publications since 1981, including 7 Books
Biographic References: 2 Publications
all top 5

Co-Authors

26 single-authored
16 Dumbser, Michael
16 Titarev, Vladimir A.
10 Castro, Cristóbal E.
10 Montecinos, Gino I.
7 Romenskii, Evgenii I.
7 Vázquez-Cendón, María Elena
6 O’Carroll, M. J.
6 Siviglia, Annunziato
6 Tokareva, Svetlana A.
5 Hidalgo, Arturo
5 Müller, Lucas O.
5 Parés Madroñal, Carlos
4 Billett, S. J.
4 Castro, Manuel J.
3 Armanini, Aronne
3 Busto, Saray
3 Causon, D. M.
3 Contarino, Christian
3 Ferrari, Angela
3 Munz, Claus-Dieter
2 Balsara, Dinshaw S.
2 Cheng, Junbo
2 Clarke, John F.
2 Ferrín, Jose Luis
2 Ivings, M. J.
2 Jiang, Song
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 Zeidan, Dia
1 Antuono, Matteo
1 Bellamoli, Francesca
1 Bermúdez, Alfredo
1 Bernetti, R.
1 Billet, S. J.
1 Bonmassari, R.
1 Borsche, Raul
1 Caiazzo, Alfonso
1 Casulli, Vincenzo
1 Chen, Gui-Qiang G.
1 Chou, Cheng-Chiang
1 Demidenko, Gennadiĭ Vladimirovich
1 Drikakis, Dimitris
1 Enaux, Cedric
1 Fraccarollo, Luigi
1 Grosso, Giovanna
1 Haacke, E. Mark
1 Kall, Jochen
1 Karni, Smadar
1 Lecaros, Rodrigo
1 López-Ríos, Juan C.
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 Russo, Giovanni
1 Saavedra, Laura
1 Saggiorato, B.
1 Saunders, Robert M.
1 Simmonds, L. G.
1 Spiller, C.
1 Spruce, M.
1 Strocchi, M.
1 Takakura, Yoko
1 Tello, Lourdes
1 Tian, Baolin
1 Vanzo, Davide
1 Vignoli, Giulio
1 Yu, Ming
1 Zambra, C. E.

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 4,534 times in 2,290 Documents Cited by Year
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 3rd ed. Zbl 1227.76006
Toro, Eleuterio F.
501
2009
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 2nd ed. Zbl 0923.76004
Toro, Eleuterio F.
429
1999
Restoration of the contact surface in the HLL-Riemann solver. Zbl 0811.76053
Toro, E. F.; Spruce, M.; Speares, W.
364
1994
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. Zbl 0888.76001
Toro, Eleuterio F.
304
1997
Shock-capturing methods for free-surface shallow flows. Zbl 0996.76003
Toro, Eleuterio F.
234
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
208
2008
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
134
2002
ADER schemes for three-dimensional non-linear hyperbolic systems. Zbl 1060.65641
Titarev, V. A.; Toro, E. F.
125
2005
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.
121
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.
110
2008
Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061
Toro, E. F.; Titarev, V. A.
100
2002
Finite-volume WENO schemes for three-dimensional conservation laws. Zbl 1059.65078
Titarev, V. A.; Toro, E. F.
99
2004
Towards very high order Godunov schemes. Zbl 0989.65094
Toro, E. F.; Millington, R. C.; Nejad, L. A. M.
85
2001
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
82
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.
81
2009
Derivative Riemann solvers for systems of conservation laws and ader methods. Zbl 1087.65590
Toro, E. F.; Titarev, V. A.
73
2006
A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270
Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne
69
2009
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
61
2011
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1391.76440
Tokareva, S. A.; Toro, E. F.
60
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.
57
2010
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
53
2002
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.
52
2008
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.
45
2005
Riemann problems and the WAF method for solving the two-dimensional shallow water equations. Zbl 0747.76027
Toro, E. F.
45
1992
Flux splitting schemes for the Euler equations. Zbl 1365.76243
Toro, E. F.; Vázquez-Cendón, M. E.
45
2012
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
43
2000
Solvers for the high-order Riemann problem for hyperbolic balance laws. Zbl 1148.65066
Castro, C. E.; Toro, E. F.
42
2008
FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377
Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael
39
2008
On WAF-type schemes for multidimensional hyperbolic conservation laws. Zbl 0873.65088
Billett, S. J.; Toro, E. F.
37
1997
A weighted average flux method for hyperbolic conservation laws. Zbl 0674.76060
Toro, E. F.
35
1989
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.
32
2013
On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107
Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F.
30
2010
TVD fluxes for the high-order ADER schemes. Zbl 1096.76029
Toro, E. F.; Titarev, V. A.
27
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.
27
2007
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.
25
2012
Advection-diffusion-reaction equations: hyperbolization and high-order ADER discretizations. Zbl 1307.65117
Toro, Eleuterio F.; Montecinos, Gino I.
24
2014
On Riemann solvers for compressible liquids. Zbl 0918.76047
Ivings, M. J.; Causon, D. M.; Toro, E. F.
22
1998
WENO schemes based on upwind and centred TVD fluxes. Zbl 1134.65361
Titarev, V. A.; Toro, E. F.
22
2005
MUSTA fluxes for systems of conservation laws. Zbl 1097.65091
Toro, E. F.; Titarev, V. A.
22
2006
MUSTA-type upwind fluxes for nonlinear elasticity. Zbl 1159.74046
Titarev, V. A.; Romenski, E.; Toro, E. F.
22
2008
A fast Riemann solver with constant covolume applied to the random choice method. Zbl 0673.76090
Toro, E. F.
22
1989
ADER finite volume schemes for nonlinear reaction-diffusion equations. Zbl 1155.65065
Toro, Eleuterio F.; Hidalgo, Arturo
21
2009
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.
21
2011
Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. Zbl 1349.65378
Montecinos, Gino I.; Toro, Eleuterio F.
21
2014
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
20
2013
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.
19
2014
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 Riemann solver and upwind methods for a two-phase flow model in non-conservative form. Zbl 1086.76046
Castro, C. E.; Toro, E. F.
18
2006
Numerical study of wave propagation in compressible two-phase flow. Zbl 1241.76338
Zeidan, D.; Romenski, E.; Slaouti, A.; Toro, E. F.
18
2007
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.
17
1993
Conservative models and numerical methods for compressible two-phase flow. Zbl 1203.76095
Romenski, Evgeniy; Drikakis, Dimitris; Toro, Eleuterio
17
2010
The weighted average flux method applied to the Euler equations. Zbl 0767.76043
Toro, E. F.
16
1992
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
16
2012
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
15
2013
Primitive, conservative and adaptive schemes for hyperbolic conservation laws. Zbl 0958.76062
Toro, E. F.
13
1998
A linearized Riemann solver for the time-dependent Euler equations of gas dynamics. Zbl 0825.76702
Toro, E. F.
13
1991
Space-time adaptive numerical methods for geophysical applications. Zbl 1192.86006
Castro, C. E.; Käser, M.; Toro, E. F.
13
2009
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
13
2015
Three-dimensional flow evolution after a dam break. Zbl 1205.76228
Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A.
12
2010
Analysis of ADER and ADER-WAF schemes. Zbl 1119.65083
Titarev, V. A.; Toro, E. F.
11
2007
PRICE: Primitive centred schemes for hyperbolic systems. Zbl 1078.76566
Toro, E. F.; Siviglia, A.
10
2003
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Zbl 1410.76487
Toro, Eleuterio F.
10
2016
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
10
2013
Riemann solvers: Linearizations and adaption. Zbl 0801.76062
Toro, E. F.
9
1993
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.
9
2016
MUSTA: a multi-stage numerical flux. Zbl 1101.65088
Toro, E. F.
9
2006
Hyperbolicity and one-dimensional waves in compressible two-phase flow models. Zbl 1136.76702
Romenski, E.; Toro, E. F.
9
2004
Numerical and analytical study of an atherosclerosis inflammatory disease model. Zbl 1293.35343
Hidalgo, A.; Tello, L.; Toro, E. F.
8
2014
Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076
Chen, Gui-Qiang; Toro, Eleuterio F.
8
2004
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
Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078
Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F.
8
2007
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
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.
7
2018
Exploring various flux vector splittings for the magnetohydrodynamic system. Zbl 1349.76885
Balsara, Dinshaw S.; Montecinos, Gino I.; Toro, Eleuterio F.
7
2016
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. Zbl 1349.76399
Toro, Eleuterio F.; Montecinos, Gino I.
6
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
6
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
Direct Riemann solvers for the time-dependent Euler equations. Zbl 0837.76051
Toro, E. F.
5
1995
MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. Zbl 1073.65553
Titarev, V. A.; Toro, E. F.
5
2005
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
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.
5
2012
Riemann solvers with evolved initial conditions. Zbl 1108.65091
Toro, E. F.
4
2006
Viscous flux limiters. Zbl 0761.76063
Toro, E. F.
3
1992
Fully discrete high-order shock-capturing numerical schemes. Zbl 0864.76060
Shi, J.; Toro, E. F.
3
1996
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
Upwind-biased FORCE schemes with applications to free-surface shallow flows. Zbl 1426.35192
Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F.
3
2010
Solver for the generalized Riemann problem for balance laws with stiff source terms: the scalar case. Zbl 1306.65251
Montecinos, Gino; Toro, Eleuterio
3
2012
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
A linearized Riemann solver for the steady supersonic Euler equations. Zbl 0767.76044
Toro, Eleuterio F.; Chou, Cheng-Chiang
2
1993
A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes. Zbl 0872.65082
Toro, E. F.; Billett, S. J.
2
1997
On the accuracy and stability of explicit schemes for multidimensional linear homogeneous advection equations. Zbl 0868.65060
Billett, S. J.; Toro, E. F.
2
1997
A temporal refinement algorithm for unstructured mesh methods. Zbl 0923.76146
Batten, P.; Lambert, C.; Toro, E. F.; Saunders, R.; Causon, D. M.
2
1995
On hybrid high resolution upwind methods for multicomponent flows. Zbl 0889.76047
Ivings, M. J.; Causon, D. M.; Toro, E. F.
2
1997
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.
2
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
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.
2
2017
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.
1
2012
Numerical computations of critical flow over a weir. Zbl 0552.76025
O’Carroll, M. J.; Toro, E. F.
1
1984
Application of the weighted average flux method to the shallow water equations. Zbl 0768.76040
Toro, E. F.
1
1991
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.
1
2020
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.
7
2018
A numerical method for junctions in networks of shallow-water channels. Zbl 1427.76156
Bellamoli, Francesca; Müller, Lucas O.; Toro, Eleuterio F.
1
2018
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.
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
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.
1
2017
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Zbl 1410.76487
Toro, Eleuterio F.
10
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.
9
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
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
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.
2
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
13
2015
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. Zbl 1349.76399
Toro, Eleuterio F.; Montecinos, Gino I.
6
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
6
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.
24
2014
Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. Zbl 1349.65378
Montecinos, Gino I.; Toro, Eleuterio F.
21
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.
19
2014
Numerical and analytical study of an atherosclerosis inflammatory disease model. Zbl 1293.35343
Hidalgo, A.; Tello, L.; Toro, E. F.
8
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.
32
2013
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
20
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
15
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
10
2013
Flux splitting schemes for the Euler equations. Zbl 1365.76243
Toro, E. F.; Vázquez-Cendón, M. E.
45
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.
25
2012
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
16
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.
5
2012
Solver for the generalized Riemann problem for balance laws with stiff source terms: the scalar case. Zbl 1306.65251
Montecinos, Gino; Toro, Eleuterio
3
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.
1
2012
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
82
2011
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
61
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.
21
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.
60
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.
57
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.
30
2010
Conservative models and numerical methods for compressible two-phase flow. Zbl 1203.76095
Romenski, Evgeniy; Drikakis, Dimitris; Toro, Eleuterio
17
2010
Three-dimensional flow evolution after a dam break. Zbl 1205.76228
Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A.
12
2010
Upwind-biased FORCE schemes with applications to free-surface shallow flows. Zbl 1426.35192
Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F.
3
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.
501
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.
81
2009
A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270
Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne
69
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
208
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.
110
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.
52
2008
Solvers for the high-order Riemann problem for hyperbolic balance laws. Zbl 1148.65066
Castro, C. E.; Toro, E. F.
42
2008
FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377
Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael
39
2008
MUSTA-type upwind fluxes for nonlinear elasticity. Zbl 1159.74046
Titarev, V. A.; Romenski, E.; Toro, E. F.
22
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
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
ADER DG and FV schemes for shallow water flows. Zbl 1308.76181
Castro, Cristóbal E.; Toro, Eleuterio 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.
121
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.
27
2007
Numerical study of wave propagation in compressible two-phase flow. Zbl 1241.76338
Zeidan, D.; Romenski, E.; Slaouti, A.; Toro, E. F.
18
2007
Analysis of ADER and ADER-WAF schemes. Zbl 1119.65083
Titarev, V. A.; Toro, E. F.
11
2007
Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078
Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F.
8
2007
Derivative Riemann solvers for systems of conservation laws and ader methods. Zbl 1087.65590
Toro, E. F.; Titarev, V. A.
73
2006
MUSTA fluxes for systems of conservation laws. Zbl 1097.65091
Toro, E. F.; Titarev, V. A.
22
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.
18
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.
125
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.
45
2005
TVD fluxes for the high-order ADER schemes. Zbl 1096.76029
Toro, E. F.; Titarev, V. A.
27
2005
WENO schemes based on upwind and centred TVD fluxes. Zbl 1134.65361
Titarev, V. A.; Toro, E. F.
22
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.
99
2004
Hyperbolicity and one-dimensional waves in compressible two-phase flow models. Zbl 1136.76702
Romenski, E.; Toro, E. F.
9
2004
Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076
Chen, Gui-Qiang; Toro, Eleuterio F.
8
2004
PRICE: Primitive centred schemes for hyperbolic systems. Zbl 1078.76566
Toro, E. F.; Siviglia, A.
10
2003
Exact solution of some hyperbolic systems with source terms. Zbl 1047.35029
Vázquez-Cendón, M. E.; Toro, E. F.
1
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
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
134
2002
Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061
Toro, E. F.; Titarev, V. A.
100
2002
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
53
2002
Shock-capturing methods for free-surface shallow flows. Zbl 0996.76003
Toro, Eleuterio F.
234
2001
Towards very high order Godunov schemes. Zbl 0989.65094
Toro, E. F.; Millington, R. C.; Nejad, L. A. M.
85
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
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.
43
2000
Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 2nd ed. Zbl 0923.76004
Toro, Eleuterio F.
429
1999
On Riemann solvers for compressible liquids. Zbl 0918.76047
Ivings, M. J.; Causon, D. M.; Toro, E. F.
22
1998
Primitive, conservative and adaptive schemes for hyperbolic conservation laws. Zbl 0958.76062
Toro, E. F.
13
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.
304
1997
On WAF-type schemes for multidimensional hyperbolic conservation laws. Zbl 0873.65088
Billett, S. J.; Toro, E. F.
37
1997
A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes. Zbl 0872.65082
Toro, E. F.; Billett, S. J.
2
1997
On the accuracy and stability of explicit schemes for multidimensional linear homogeneous advection equations. Zbl 0868.65060
Billett, S. J.; Toro, E. F.
2
1997
On hybrid high resolution upwind methods for multicomponent flows. Zbl 0889.76047
Ivings, M. J.; Causon, D. M.; Toro, E. F.
2
1997
Fully discrete high-order shock-capturing numerical schemes. Zbl 0864.76060
Shi, J.; Toro, E. F.
3
1996
Fully discrete high-resolution schemes for hyperbolic conservation laws. Zbl 0863.76047
Shi, J.; Toro, E. F.
1
1996
Direct Riemann solvers for the time-dependent Euler equations. Zbl 0837.76051
Toro, E. F.
5
1995
A temporal refinement algorithm for unstructured mesh methods. Zbl 0923.76146
Batten, P.; Lambert, C.; Toro, E. F.; Saunders, R.; Causon, D. M.
2
1995
...and 13 more Documents
all top 5

Cited by 3,133 Authors

106 Dumbser, Michael
72 Toro, Eleuterio F.
34 Balsara, Dinshaw S.
29 Castro, Manuel J.
29 Munz, Claus-Dieter
28 Parés Madroñal, Carlos
25 Titarev, Vladimir A.
23 Shu, Chi-Wang
22 Qiu, Jianxian
21 Drikakis, Dimitris
21 Luo, Hong
21 Vázquez-Cendón, María Elena
20 Boscheri, Walter
20 Xu, Kun
19 Adams, Nikolaus A.
19 Loubère, Raphaël
19 Murillo, Javier
19 Saurel, Richard
18 Garcia-Navarro, Pilar
17 Berthon, Christophe
17 Clain, Stéphane Louis
17 Hérard, Jean-Marc
17 Liu, Tiegang
16 Fernández-Nieto, Enrique Domingo
15 Gassner, Gregor J.
15 Li, Jiequan
15 Liang, Qiuhua
15 Montecinos, Gino I.
14 Xiao, Feng
13 Borsche, Raul
13 Gavrilyuk, Sergey L.
13 Mai Duc Thanh
13 Romenskii, Evgenii I.
13 Yan, Chao
12 Abgrall, Rémi
12 Khoo, Boo Cheong
12 Ren, Yuxin
12 Tavelli, Maurizio
12 Zhu, Jun
11 Borthwick, Alistair G. L.
11 Castro-Díaz, Manuel Jesús
11 Després, Bruno
11 Favrie, Nicolas
11 Guermond, Jean-Luc
11 Hidalgo, Arturo
11 Jiang, Song
11 Kesserwani, Georges
11 Kurganov, Alexander
11 Nkonga, Boniface
11 Nogueira, Xesús
11 Popov, Boyan
11 Sekhar, T. Raja
11 Zeidan, Dia
10 Capdeville, Guy
10 Chalons, Christophe
10 Coquel, Frédéric
10 Daude, Frédéric
10 Tang, Huazhong
9 Busto, Saray
9 Chandrashekar, Praveen
9 Deng, Xi
9 Gallardo, José M.
9 Galon, Pascal
9 Nishikawa, Hiroaki
9 Rogers, Benedict D.
9 Seaïd, Mohammed
9 Shyue, Keh-Ming
9 Warnecke, Gerald G.
9 Zanotti, Olindo
8 Antuono, Matteo
8 Castro, Cristóbal E.
8 Cheng, Jian
8 Colominas, Ignasi
8 Deng, Xiaogang
8 Hantke, Maren
8 Helluy, Philippe
8 Hurisse, Olivier
8 Kopriva, David Alan
8 LeVeque, Randall J.
8 Li, Gang
8 Morales de Luna, Tomás
8 Pan, Liang
8 Rosatti, Giorgio
8 Seal, David C.
8 Semplice, Matteo
8 Shu, Chang
8 Tian, Baolin
8 Tokareva, Svetlana A.
8 Tsoutsanis, Panagiotis
8 Utyuzhnikov, Sergey V.
8 Zhang, Fan
7 Benkhaldoun, Fayssal
7 Caleffi, Valerio
7 Causon, D. M.
7 Christlieb, Andrew J.
7 Colonius, Tim
7 Cuong, Dao Huy
7 Degond, Pierre
7 Deiterding, Ralf
7 Delis, Argiris I.
...and 3,033 more Authors
all top 5

Cited in 177 Serials

709 Journal of Computational Physics
333 Computers and Fluids
126 Journal of Scientific Computing
92 International Journal for Numerical Methods in Fluids
86 Computer Methods in Applied Mechanics and Engineering
67 Applied Mathematics and Computation
51 Computers & Mathematics with Applications
47 Journal of Fluid Mechanics
43 Applied Numerical Mathematics
39 SIAM Journal on Scientific Computing
34 Applied Mathematical Modelling
25 Journal of Computational and Applied Mathematics
22 Shock Waves
22 Computational Mathematics and Mathematical Physics
21 International Journal for Numerical Methods in Engineering
20 Computer Physics Communications
20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
14 International Journal of Computational Fluid Dynamics
13 Mathematics of Computation
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Mathematical Problems in Engineering
13 Advances in Applied Mathematics and Mechanics
12 Numerical Methods for Partial Differential Equations
10 Mathematics and Computers in Simulation
10 Numerische Mathematik
10 European Journal of Mechanics. B. Fluids
10 Computational Geosciences
10 Matematicheskoe Modelirovanie
10 International Journal of Computational Methods
9 Journal of Hyperbolic Differential Equations
8 Wave Motion
8 Engineering Analysis with Boundary Elements
8 Archives of Computational Methods in Engineering
8 Acta Mechanica Sinica
7 Journal of Engineering Mathematics
7 Quarterly of Applied Mathematics
7 SIAM Journal on Numerical Analysis
7 Advances in Computational 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
7 Communications in Nonlinear Science and Numerical Simulation
6 Computational Mechanics
6 Mathematical and Computer Modelling
6 International Journal of Computer Mathematics
6 Networks and Heterogeneous Media
6 AMM. Applied Mathematics and Mechanics. (English Edition)
5 Journal of Mathematical Biology
5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
5 Continuum Mechanics and Thermodynamics
5 Computational and Applied Mathematics
5 International Journal of Numerical Methods for Heat & Fluid Flow
4 Acta Mechanica
4 Fluid Dynamics
4 International Journal of Heat and Mass Transfer
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Physics
4 Acta Applicandae Mathematicae
4 Physics of Fluids
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Bulletin of the Brazilian Mathematical Society. New Series
4 International Journal of Applied and Computational Mathematics
3 Mathematical Methods in the Applied Sciences
3 Nonlinearity
3 Applied Mathematics and Mechanics. (English Edition)
3 Numerical Algorithms
3 SIAM Journal on Mathematical Analysis
3 Communications in Numerical Methods in Engineering
3 Russian Journal of Numerical Analysis and Mathematical Modelling
3 Doklady Mathematics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Flow, Turbulence and Combustion
3 International Journal of Applied Mathematics and Computer Science
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Journal of Turbulence
3 Journal of Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Kinetic and Related Models
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
2 Astrophysics and Space Science
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Physica A
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 Computing and Visualization in Science
2 Differential Equations and Dynamical Systems
2 Vietnam Journal of Mathematics
2 Abstract and Applied Analysis
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Combustion Theory and Modelling
2 Living Reviews in Relativity
2 Lobachevskii Journal of Mathematics
2 International Journal of Modern Physics C
2 Nonlinear Analysis. Real World Applications
...and 77 more Serials
all top 5

Cited in 39 Fields

1,805 Fluid mechanics (76-XX)
1,299 Numerical analysis (65-XX)
631 Partial differential equations (35-XX)
129 Mechanics of deformable solids (74-XX)
123 Geophysics (86-XX)
71 Classical thermodynamics, heat transfer (80-XX)
54 Biology and other natural sciences (92-XX)
49 Statistical mechanics, structure of matter (82-XX)
27 Optics, electromagnetic theory (78-XX)
27 Astronomy and astrophysics (85-XX)
27 Operations research, mathematical programming (90-XX)
11 Computer science (68-XX)
9 Probability theory and stochastic processes (60-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Relativity and gravitational theory (83-XX)
6 Ordinary differential equations (34-XX)
6 Approximations and expansions (41-XX)
5 Systems theory; control (93-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Integral equations (45-XX)
3 Mechanics of particles and systems (70-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)

Citations by Year