Edit Profile Toro, Eleuterio F. Compute Distance To: Compute Author ID: toro.eleuterio-f Published as: Toro, E. F.; Toro, Eleuterio; Toro, Eleuterio F. Documents Indexed: 137 Publications since 1981, including 6 Books Biographic References: 2 Publications all top 5 Co-Authors 26 single-authored 16 Titarev, Vladimir A. 15 Dumbser, Michael 10 Castro, Cristóbal E. 10 Montecinos, Gino I. 7 Vázquez-Cendón, María Elena 6 O’Carroll, M. J. 6 Romenskii, Evgenii I. 6 Tokareva, Svetlana A. 5 Hidalgo, Arturo 5 Parés Madroñal, Carlos 5 Siviglia, Annunziato 4 Billett, S. J. 4 Castro, Manuel J. 4 Müller, Lucas O. 3 Armanini, Aronne 3 Busto, Saray 3 Causon, D. M. 3 Contarino, Christian 3 Ferrari, Angela 3 Munz, Claus-Dieter 3 Shi, Jingyao 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 Batten, Paul 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 Drikakis, Dimitris 1 Enaux, Cedric 1 Fraccarollo, Luigi 1 Grosso, Giovanna 1 Haacke, E. Mark 1 Hu, Wenmin 1 Kall, Jochen 1 Karni, Smadar 1 Lambert, Christophe G. 1 Lecaros, Rodrigo 1 López-Ríos, J. 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 Romenskij, E. I. 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. 1 Zhang, Qiangqiang all top 5 Serials 33 Journal of Computational Physics 16 International Journal for Numerical Methods in Fluids 7 Computers and Fluids 5 Journal of Scientific Computing 5 Communications in Computational Physics 4 Applied Mathematics and Computation 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 International Journal for Numerical Methods in Biomedical Engineering all top 5 Fields 104 Fluid mechanics (76-XX) 68 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 115 Publications have been cited 4,476 times in 2,266 Documents Cited by ▼ Year ▼ Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 3rd ed. Zbl 1227.76006Toro, Eleuterio F. 494 2009 Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 2nd ed. Zbl 0923.76004Toro, Eleuterio F. 457 1999 Restoration of the contact surface in the HLL-Riemann solver. Zbl 0811.76053Toro, E. F.; Spruce, M.; Speares, W. 352 1994 Riemann solvers and numerical methods for fluid dynamics. A practical introduction. Zbl 0888.76001Toro, Eleuterio F. 334 1997 Shock-capturing methods for free-surface shallow flows. Zbl 0996.76003Toro, Eleuterio F. 231 2001 A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 198 2008 ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028Titarev, V. A.; Toro, E. F. 133 2002 ADER schemes for three-dimensional non-linear hyperbolic systems. Zbl 1060.65641Titarev, V. A.; Toro, E. F. 119 2005 Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Zbl 1124.65074Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F. 117 2007 Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. 105 2008 Finite-volume WENO schemes for three-dimensional conservation laws. Zbl 1059.65078Titarev, V. A.; Toro, E. F. 96 2004 Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061Toro, E. F.; Titarev, V. A. 96 2002 Towards very high order Godunov schemes. Zbl 0989.65094Toro, E. F.; Millington, R. C.; Nejad, L. A. M. 82 2001 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 77 2009 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 75 2011 Derivative Riemann solvers for systems of conservation laws and ader methods. Zbl 1087.65590Toro, E. F.; Titarev, V. A. 69 2006 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 68 2009 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 57 2011 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 56 2010 HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1391.76440Tokareva, S. A.; Toro, E. F. 53 2010 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 52 2002 Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. Zbl 1132.76027Bernetti, R.; Titarev, V. A.; Toro, E. F. 51 2008 ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions. Zbl 1061.65103Toro, E. F.; Titarev, V. A. 45 2005 Riemann problems and the WAF method for solving the two-dimensional shallow water equations. Zbl 0747.76027Toro, E. F. 45 1992 Flux splitting schemes for the Euler equations. Zbl 1365.76243Toro, E. F.; Vázquez-Cendón, M. E. 43 2012 Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100Toro, E. F.; Billet, S. J. 43 2000 Solvers for the high-order Riemann problem for hyperbolic balance laws. Zbl 1148.65066Castro, C. E.; Toro, E. F. 42 2008 FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael 39 2008 On WAF-type schemes for multidimensional hyperbolic conservation laws. Zbl 0873.65088Billett, S. J.; Toro, E. F. 36 1997 A weighted average flux method for hyperbolic conservation laws. Zbl 0674.76060Toro, E. F. 35 1989 Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Zbl 1323.92066Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F. 31 2013 On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F. 30 2010 TVD fluxes for the high-order ADER schemes. Zbl 1096.76029Toro, E. F.; Titarev, V. A. 27 2005 Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F. 25 2012 Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures. Zbl 1145.35430Romenski, E.; Resnyansky, A. D.; Toro, E. F. 25 2007 ADER finite volume schemes for nonlinear reaction-diffusion equations. Zbl 1155.65065Toro, Eleuterio F.; Hidalgo, Arturo 22 2009 MUSTA-type upwind fluxes for nonlinear elasticity. Zbl 1159.74046Titarev, V. A.; Romenski, E.; Toro, E. F. 22 2008 MUSTA fluxes for systems of conservation laws. Zbl 1097.65091Toro, E. F.; Titarev, V. A. 22 2006 WENO schemes based on upwind and centred TVD fluxes. Zbl 1134.65361Titarev, V. A.; Toro, E. F. 22 2005 Advection-diffusion-reaction equations: hyperbolization and high-order ADER discretizations. Zbl 1307.65117Toro, Eleuterio F.; Montecinos, Gino I. 21 2014 On Riemann solvers for compressible liquids. Zbl 0918.76047Ivings, M. J.; Causon, D. M.; Toro, E. F. 21 1998 A fast Riemann solver with constant covolume applied to the random choice method. Zbl 0673.76090Toro, E. F. 21 1989 A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver. Zbl 1433.76166Tian, Baolin; Toro, E. F.; Castro, C. E. 20 2011 Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. Zbl 1349.65378Montecinos, Gino I.; Toro, Eleuterio F. 19 2014 Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. Zbl 1323.92065Montecinos, Gino I.; Müller, Lucas O.; Toro, Eleuterio F. 19 2014 Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362Toro, Eleuterio F.; Siviglia, Annunziato 18 2013 ADER schemes for the shallow water equations in channel with irregular bottom elevation. Zbl 1132.76035Vignoli, G.; Titarev, V. A.; Toro, E. F. 17 2008 Numerical study of wave propagation in compressible two-phase flow. Zbl 1241.76338Zeidan, D.; Romenski, E.; Slaouti, A.; Toro, E. F. 17 2007 Numerical computation of two-dimensional unsteady detonation waves in high energy solids. Zbl 0770.76040Clarke, J. F.; Karni, S.; Quirk, J. J.; Roe, P. L.; Simmonds, L. G.; Toro, E. F. 17 1993 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 16 2012 Conservative models and numerical methods for compressible two-phase flow. Zbl 1203.76095Romenski, Evgeniy; Drikakis, Dimitris; Toro, Eleuterio 16 2010 A Riemann solver and upwind methods for a two-phase flow model in non-conservative form. Zbl 1086.76046Castro, C. E.; Toro, E. F. 16 2006 A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. Zbl 1349.65279Cheng, Jun Bo; Toro, Eleuterio F.; Jiang, Song; Tang, Weijun 15 2013 The weighted average flux method applied to the Euler equations. Zbl 0767.76043Toro, E. F. 15 1992 Space-time adaptive numerical methods for geophysical applications. Zbl 1192.86006Castro, C. E.; Käser, M.; Toro, E. F. 13 2009 Primitive, conservative and adaptive schemes for hyperbolic conservation laws. Zbl 0958.76062Toro, E. F. 13 1998 A linearized Riemann solver for the time-dependent Euler equations of gas dynamics. Zbl 0825.76702Toro, E. F. 13 1991 Three-dimensional flow evolution after a dam break. Zbl 1205.76228Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 12 2010 A novel numerical flux for the 3D Euler equations with general equation of state. Zbl 1349.76398Toro, Eleuterio F.; Castro, Cristóbal E.; Lee, Bok Jik 11 2015 Analysis of ADER and ADER-WAF schemes. Zbl 1119.65083Titarev, V. A.; Toro, E. F. 11 2007 Hyperbolicity and one-dimensional waves in compressible two-phase flow models. Zbl 1136.76702Romenski, E.; Toro, E. F. 10 2004 PRICE: Primitive centred schemes for hyperbolic systems. Zbl 1078.76566Toro, E. F.; Siviglia, A. 10 2003 Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Zbl 1410.76487Toro, Eleuterio F. 9 2016 MUSTA: a multi-stage numerical flux. Zbl 1101.65088Toro, E. F. 9 2006 Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076Chen, Gui-Qiang; Toro, Eleuterio F. 9 2004 Riemann solvers: Linearizations and adaption. Zbl 0801.76062Toro, E. F. 9 1993 Numerical and analytical study of an atherosclerosis inflammatory disease model. Zbl 1293.35343Hidalgo, A.; Tello, L.; Toro, E. F. 8 2014 Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. Zbl 1349.76354Lee, Bok Jik; Toro, Eleuterio F.; Castro, Cristóbal E.; Nikiforakis, Nikolaos 8 2013 Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F. 8 2007 Junction-generalized Riemann problem for stiff hyperbolic balance laws in networks: an implicit solver and ADER schemes. Zbl 1349.76318Contarino, Christian; Toro, Eleuterio F.; Montecinos, Gino I.; Borsche, Raul; Kall, Jochen 7 2016 Exploring various flux vector splittings for the magnetohydrodynamic system. Zbl 1349.76885Balsara, Dinshaw S.; Montecinos, Gino I.; Toro, Eleuterio F. 7 2016 A new stable version of the SPH method in Lagrangian coordinates. Zbl 1364.76175Ferrari, A.; Dumbser, M.; Toro, E. F.; Armanini, A. 7 2008 A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems. Zbl 1390.76558Cheng, Jun-Bo; Toro, Eleuterio F.; Jiang, Song; Yu, Ming; Tang, Weijun 6 2015 Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. Zbl 1349.76399Toro, Eleuterio F.; Montecinos, Gino I. 6 2015 A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. Zbl 1380.76052Busto, S.; Ferrín, J. L.; Toro, E. F.; Vázquez-Cendón, M. E. 5 2018 Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. Zbl 1422.65203Busto, S.; Toro, E. F.; Vázquez-Cendón, M. E. 5 2016 Computational haemodynamics in stenotic internal jugular veins. Zbl 1350.92012Caiazzo, 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 1242.76188Zambra, C. E.; Dumbser, M.; Toro, E. F.; Moraga, N. O. 5 2012 MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. Zbl 1073.65553Titarev, V. A.; Toro, E. F. 5 2005 The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C. 5 2001 Direct Riemann solvers for the time-dependent Euler equations. Zbl 0837.76051Toro, E. F. 5 1995 Riemann solvers with evolved initial conditions. Zbl 1108.65091Toro, E. F. 4 2006 A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1415.76480Tokareva, S. A.; Toro, E. F. 3 2016 Solver for the generalized Riemann problem for balance laws with stiff source terms: the scalar case. Zbl 1306.65251Montecinos, Gino; Toro, Eleuterio 3 2012 Upwind-biased FORCE schemes with applications to free-surface shallow flows. Zbl 1426.35192Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F. 3 2010 Model hyperbolic systems with source terms: Exact and numerical solutions. Zbl 0989.65095Toro, E. F.; Vazquez-Cendon, M. E. 3 2001 Unsplit WAF-type schemes for three-dimensional hyperbolic conservation laws. Zbl 0947.76060Billett, S. J.; Toro, E. F. 3 1998 Fully discrete high-order shock-capturing numerical schemes. Zbl 0864.76060Shi, J.; Toro, E. F. 3 1996 Viscous flux limiters. Zbl 0761.76063Toro, E. F. 3 1992 On the exact solution of the Riemann problem for blood flow in human veins, including collapse. Zbl 1411.76182Spiller, 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 1366.76063Tokareva, Svetlana; Toro, Eleuterio 2 2017 An ADER-type scheme for a class of equations arising from the water-wave theory. Zbl 1390.76494Montecinos, G. I.; López-Rios, J. C.; Lecaros, R.; Ortega, J. H.; Toro, E. F. 2 2016 Pollutant transport by shallow water equations on unstructured meshes: hyperbolization of the model and numerical solution via a novel flux splitting scheme. Zbl 1349.76401Vanzo, Davide; Siviglia, Annunziato; Toro, Eleuterio F. 2 2016 Exact solution of some hyperbolic systems with source terms. Zbl 1047.35029Vázquez-Cendón, M. E.; Toro, E. F. 2 2003 On hybrid high resolution upwind methods for multicomponent flows. Zbl 0889.76047Ivings, M. J.; Causon, D. M.; Toro, E. F. 2 1997 On the accuracy and stability of explicit schemes for multidimensional linear homogeneous advection equations. Zbl 0868.65060Billett, S. J.; Toro, E. F. 2 1997 A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes. Zbl 0872.65082Toro, E. F.; Billett, S. J. 2 1997 A temporal refinement algorithm for unstructured mesh methods. Zbl 0923.76146Batten, P.; Lambert, C.; Toro, E. F.; Saunders, R.; Causon, D. M. 2 1995 A linearized Riemann solver for the steady supersonic Euler equations. Zbl 0767.76044Toro, Eleuterio F.; Chou, Cheng-Chiang 2 1993 Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. Zbl 1437.65119Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A. 1 2020 Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. Zbl 1437.65119Toro, 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 1380.76052Busto, S.; Ferrín, J. L.; Toro, E. F.; Vázquez-Cendón, M. E. 5 2018 A numerical method for junctions in networks of shallow-water channels. Zbl 1427.76156Bellamoli, 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 1411.76182Spiller, 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 1366.76063Tokareva, Svetlana; Toro, Eleuterio 2 2017 A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system. Zbl 1411.76183Strocchi, M.; Contarino, C.; Zhang, Q.; Bonmassari, R.; Toro, E. F. 1 2017 Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Zbl 1410.76487Toro, Eleuterio F. 9 2016 Junction-generalized Riemann problem for stiff hyperbolic balance laws in networks: an implicit solver and ADER schemes. Zbl 1349.76318Contarino, Christian; Toro, Eleuterio F.; Montecinos, Gino I.; Borsche, Raul; Kall, Jochen 7 2016 Exploring various flux vector splittings for the magnetohydrodynamic system. Zbl 1349.76885Balsara, Dinshaw S.; Montecinos, Gino I.; Toro, Eleuterio F. 7 2016 Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. Zbl 1422.65203Busto, S.; Toro, E. F.; Vázquez-Cendón, M. E. 5 2016 A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1415.76480Tokareva, S. A.; Toro, E. F. 3 2016 An ADER-type scheme for a class of equations arising from the water-wave theory. Zbl 1390.76494Montecinos, G. I.; López-Rios, J. C.; Lecaros, R.; Ortega, J. H.; Toro, E. F. 2 2016 Pollutant transport by shallow water equations on unstructured meshes: hyperbolization of the model and numerical solution via a novel flux splitting scheme. Zbl 1349.76401Vanzo, Davide; Siviglia, Annunziato; Toro, Eleuterio F. 2 2016 A novel numerical flux for the 3D Euler equations with general equation of state. Zbl 1349.76398Toro, Eleuterio F.; Castro, Cristóbal E.; Lee, Bok Jik 11 2015 A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems. Zbl 1390.76558Cheng, Jun-Bo; Toro, Eleuterio F.; Jiang, Song; Yu, Ming; Tang, Weijun 6 2015 Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. Zbl 1349.76399Toro, Eleuterio F.; Montecinos, Gino I. 6 2015 Computational haemodynamics in stenotic internal jugular veins. Zbl 1350.92012Caiazzo, 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 1307.65117Toro, Eleuterio F.; Montecinos, Gino I. 21 2014 Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. Zbl 1349.65378Montecinos, Gino I.; Toro, Eleuterio F. 19 2014 Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. Zbl 1323.92065Montecinos, Gino I.; Müller, Lucas O.; Toro, Eleuterio F. 19 2014 Numerical and analytical study of an atherosclerosis inflammatory disease model. Zbl 1293.35343Hidalgo, 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 1323.92066Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F. 31 2013 Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362Toro, Eleuterio F.; Siviglia, Annunziato 18 2013 A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. Zbl 1349.65279Cheng, 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 1349.76354Lee, Bok Jik; Toro, Eleuterio F.; Castro, Cristóbal E.; Nikiforakis, Nikolaos 8 2013 Flux splitting schemes for the Euler equations. Zbl 1365.76243Toro, E. F.; Vázquez-Cendón, M. E. 43 2012 Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F. 25 2012 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 16 2012 A novel numerical method of high-order accuracy for flow in unsaturated porous media. Zbl 1242.76188Zambra, 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 1306.65251Montecinos, Gino; Toro, Eleuterio 3 2012 A finite volume upwind-biased centred scheme for hyperbolic systems of conservation laws: application to shallow water equations. Zbl 1373.76146Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F. 1 2012 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 75 2011 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 57 2011 A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver. Zbl 1433.76166Tian, Baolin; Toro, E. F.; Castro, C. E. 20 2011 Reformulated Osher-type Riemann solver. Zbl 1346.76099Toro, Eleuterio F.; Dumbser, Michael 1 2011 High-order accuracy: monotonicity and non-linear methods. Zbl 1260.65079Toro, E. F. 1 2011 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 56 2010 HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1391.76440Tokareva, S. A.; Toro, E. F. 53 2010 On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F. 30 2010 Conservative models and numerical methods for compressible two-phase flow. Zbl 1203.76095Romenski, Evgeniy; Drikakis, Dimitris; Toro, Eleuterio 16 2010 Three-dimensional flow evolution after a dam break. Zbl 1205.76228Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 12 2010 Upwind-biased FORCE schemes with applications to free-surface shallow flows. Zbl 1426.35192Stecca, Guglielmo; Siviglia, Annunziato; Toro, Eleuterio F. 3 2010 The Riemann problem for the dispersive nonlinear shallow water equations. Zbl 1364.35268Grosso, Giovanna; Antuono, Matteo; Toro, Eleuterio 1 2010 Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 3rd ed. Zbl 1227.76006Toro, Eleuterio F. 494 2009 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 77 2009 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 68 2009 ADER finite volume schemes for nonlinear reaction-diffusion equations. Zbl 1155.65065Toro, Eleuterio F.; Hidalgo, Arturo 22 2009 Space-time adaptive numerical methods for geophysical applications. Zbl 1192.86006Castro, 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 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 198 2008 Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. 105 2008 Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. Zbl 1132.76027Bernetti, R.; Titarev, V. A.; Toro, E. F. 51 2008 Solvers for the high-order Riemann problem for hyperbolic balance laws. Zbl 1148.65066Castro, C. E.; Toro, E. F. 42 2008 FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael 39 2008 MUSTA-type upwind fluxes for nonlinear elasticity. Zbl 1159.74046Titarev, V. A.; Romenski, E.; Toro, E. F. 22 2008 ADER schemes for the shallow water equations in channel with irregular bottom elevation. Zbl 1132.76035Vignoli, G.; Titarev, V. A.; Toro, E. F. 17 2008 A new stable version of the SPH method in Lagrangian coordinates. Zbl 1364.76175Ferrari, A.; Dumbser, M.; Toro, E. F.; Armanini, A. 7 2008 ADER DG and FV schemes for shallow water flows. Zbl 1308.76181Castro, Cristóbal E.; Toro, Eleuterio F. 1 2008 Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Zbl 1188.65114Castro, 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 1124.65074Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F. 117 2007 Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures. Zbl 1145.35430Romenski, E.; Resnyansky, A. D.; Toro, E. F. 25 2007 Numerical study of wave propagation in compressible two-phase flow. Zbl 1241.76338Zeidan, D.; Romenski, E.; Slaouti, A.; Toro, E. F. 17 2007 Analysis of ADER and ADER-WAF schemes. Zbl 1119.65083Titarev, V. A.; Toro, E. F. 11 2007 Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F. 8 2007 Derivative Riemann solvers for systems of conservation laws and ader methods. Zbl 1087.65590Toro, E. F.; Titarev, V. A. 69 2006 MUSTA fluxes for systems of conservation laws. Zbl 1097.65091Toro, E. F.; Titarev, V. A. 22 2006 A Riemann solver and upwind methods for a two-phase flow model in non-conservative form. Zbl 1086.76046Castro, C. E.; Toro, E. F. 16 2006 MUSTA: a multi-stage numerical flux. Zbl 1101.65088Toro, E. F. 9 2006 Riemann solvers with evolved initial conditions. Zbl 1108.65091Toro, E. F. 4 2006 ADER schemes for three-dimensional non-linear hyperbolic systems. Zbl 1060.65641Titarev, V. A.; Toro, E. F. 119 2005 ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions. Zbl 1061.65103Toro, E. F.; Titarev, V. A. 45 2005 TVD fluxes for the high-order ADER schemes. Zbl 1096.76029Toro, E. F.; Titarev, V. A. 27 2005 WENO schemes based on upwind and centred TVD fluxes. Zbl 1134.65361Titarev, V. A.; Toro, E. F. 22 2005 MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. Zbl 1073.65553Titarev, V. A.; Toro, E. F. 5 2005 Finite-volume WENO schemes for three-dimensional conservation laws. Zbl 1059.65078Titarev, V. A.; Toro, E. F. 96 2004 Hyperbolicity and one-dimensional waves in compressible two-phase flow models. Zbl 1136.76702Romenski, E.; Toro, E. F. 10 2004 Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076Chen, Gui-Qiang; Toro, Eleuterio F. 9 2004 PRICE: Primitive centred schemes for hyperbolic systems. Zbl 1078.76566Toro, E. F.; Siviglia, A. 10 2003 Exact solution of some hyperbolic systems with source terms. Zbl 1047.35029Vázquez-Cendón, M. E.; Toro, E. F. 2 2003 Arbitrarily accurate non-oscillatory schemes for nonlinear scalar conservation laws with source terms. II. Zbl 1157.76365Takakura, Yoko; Toro, Eleuterio F. 1 2003 ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028Titarev, V. A.; Toro, E. F. 133 2002 Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061Toro, E. F.; Titarev, V. A. 96 2002 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 52 2002 Shock-capturing methods for free-surface shallow flows. Zbl 0996.76003Toro, Eleuterio F. 231 2001 Towards very high order Godunov schemes. Zbl 0989.65094Toro, E. F.; Millington, R. C.; Nejad, L. A. M. 82 2001 The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C. 5 2001 Model hyperbolic systems with source terms: Exact and numerical solutions. Zbl 0989.65095Toro, E. F.; Vazquez-Cendon, M. E. 3 2001 Centered unsplit finite volume schemes for multi-dimensional hyperbolic conservation laws. Zbl 0990.65095Toro, E. F.; Hu, W. 1 2001 Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. Zbl 0978.00036Toro, E. F. (ed.) 1 2001 Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100Toro, E. F.; Billet, S. J. 43 2000 Riemann solvers and numerical methods for fluid dynamics. A practical introduction. 2nd ed. Zbl 0923.76004Toro, Eleuterio F. 457 1999 On Riemann solvers for compressible liquids. Zbl 0918.76047Ivings, M. J.; Causon, D. M.; Toro, E. F. 21 1998 Primitive, conservative and adaptive schemes for hyperbolic conservation laws. Zbl 0958.76062Toro, E. F. 13 1998 Unsplit WAF-type schemes for three-dimensional hyperbolic conservation laws. Zbl 0947.76060Billett, S. J.; Toro, E. F. 3 1998 Riemann solvers and numerical methods for fluid dynamics. A practical introduction. Zbl 0888.76001Toro, Eleuterio F. 334 1997 On WAF-type schemes for multidimensional hyperbolic conservation laws. Zbl 0873.65088Billett, S. J.; Toro, E. F. 36 1997 On hybrid high resolution upwind methods for multicomponent flows. Zbl 0889.76047Ivings, M. J.; Causon, D. M.; Toro, E. F. 2 1997 On the accuracy and stability of explicit schemes for multidimensional linear homogeneous advection equations. Zbl 0868.65060Billett, S. J.; Toro, E. F. 2 1997 A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes. Zbl 0872.65082Toro, E. F.; Billett, S. J. 2 1997 Fully discrete high-order shock-capturing numerical schemes. Zbl 0864.76060Shi, J.; Toro, E. F. 3 1996 Fully discrete high-resolution schemes for hyperbolic conservation laws. Zbl 0863.76047Shi, J.; Toro, E. F. 1 1996 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,341 Authors 101 Dumbser, Michael 71 Toro, Eleuterio F. 34 Balsara, Dinshaw S. 31 Munz, Claus-Dieter 29 Castro, Manuel J. 27 Parés Madroñal, Carlos 25 Drikakis, Dimitris 25 Titarev, Vladimir A. 24 Saurel, Richard 23 Xu, Kun 22 Shu, Chi-Wang 21 Luo, Hong 21 Qiu, Jianxian 21 Vázquez-Cendón, María Elena 20 Adams, Nikolaus A. 19 Boscheri, Walter 19 Garcia-Navarro, Pilar 19 Murillo, Javier 18 Fernández-Nieto, Enrique Domingo 18 Loubère, Raphaël 17 Berthon, Christophe 17 Xiao, Feng 16 Clain, Stéphane Louis 16 Hérard, Jean-Marc 16 Liu, Tiegang 15 Gassner, Gregor J. 15 Li, Jiequan 15 Liang, Qiuhua 15 Montecinos, Gino I. 14 Romenskii, Evgenii I. 13 Borsche, Raul 13 Després, Bruno 13 Ren, Yuxin 13 Yan, Chao 12 Abgrall, Rémi 12 Khoo, Boo Cheong 12 Mai Duc Thanh 12 Sekhar, T. Raja 11 Castro-Díaz, Manuel Jesús 11 Gavrilyuk, Sergey L. 11 Hidalgo, Arturo 11 Jiang, Song 11 Kesserwani, Georges 11 Nkonga, Boniface 11 Tavelli, Maurizio 11 Zeidan, Dia 10 Borthwick, Alistair G. L. 10 Capdeville, Guy 10 Chalons, Christophe 10 Coquel, Frédéric 10 Daude, Frédéric 10 Favrie, Nicolas 10 Guermond, Jean-Luc 10 Kurganov, Alexander 10 Nogueira, Xesús 10 Popov, Boyan 10 Tang, Huazhong 9 Antuono, Matteo 9 Chandrashekar, Praveen 9 Deng, Xi 9 Gallardo, José M. 9 Galon, Pascal 9 Hu, Xiangyu Y. 9 Nishikawa, Hiroaki 9 Pan, Liang 9 Rogers, Benedict D. 9 Shyue, Keh-Ming 9 Warnecke, Gerald G. 9 Zanotti, Olindo 9 Zhu, Jun 8 Caleffi, Valerio 8 Cheng, Jian 8 Colonius, Tim 8 Hantke, Maren 8 Helluy, Philippe 8 Klar, Axel 8 Kopriva, David Alan 8 LeVeque, Randall J. 8 Menon, Suresh 8 Morales de Luna, Tomás 8 Nikiforakis, Nikos 8 Seaïd, Mohammed 8 Seal, David C. 8 Semplice, Matteo 8 Tian, Baolin 8 Tokareva, Svetlana A. 8 Tsoutsanis, Panagiotis 8 Utyuzhnikov, Sergey V. 8 Zhang, Fan 7 Castro, Cristóbal E. 7 Causon, D. M. 7 Christlieb, Andrew J. 7 Colominas, Ignasi 7 Degond, Pierre 7 Deiterding, Ralf 7 Delis, Argiris I. 7 Deng, Xiaogang 7 Dubey, Ritesh Kumar 7 Giraldo, Francis X. 7 Guinot, Vincent ...and 3,241 more Authors all top 5 Cited in 170 Serials 747 Journal of Computational Physics 330 Computers and Fluids 113 Journal of Scientific Computing 92 International Journal for Numerical Methods in Fluids 87 Computer Methods in Applied Mechanics and Engineering 67 Applied Mathematics and Computation 49 Computers & Mathematics with Applications 41 Applied Numerical Mathematics 39 Journal of Fluid Mechanics 36 SIAM Journal on Scientific Computing 33 Applied Mathematical Modelling 25 Journal of Computational and Applied Mathematics 22 Computer Physics Communications 22 Shock Waves 21 International Journal for Numerical Methods in Engineering 20 Computational Mathematics and Mathematical Physics 15 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. 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