| Numerical methods for nonconservative hyperbolic systems: a theoretical framework. C Parés SIAM Journal on Numerical Analysis 44 (1), 300-321, 2006 | 579 | 2006 |
| High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems M Castro, J Gallardo, C Parés Mathematics of computation 75 (255), 1103-1134, 2006 | 356 | 2006 |
| On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems C Parés, M Castro ESAIM: mathematical modelling and numerical analysis 38 (5), 821-852, 2004 | 283 | 2004 |
| On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas JM Gallardo, C Parés, M Castro Journal of Computational Physics 227 (1), 574-601, 2007 | 263 | 2007 |
| Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes MJ Castro, PG LeFloch, ML Muñoz-Ruiz, C Parés Journal of Computational Physics 227 (17), 8107-8129, 2008 | 259 | 2008 |
| ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows M Dumbser, M Castro, C Parés, EF Toro Computers & Fluids 38 (9), 1731-1748, 2009 | 224 | 2009 |
| A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system M Castro, J Macías, C Parés ESAIM: Mathematical Modelling and Numerical Analysis 35 (1), 107-127, 2001 | 211 | 2001 |
| FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems M Dumbser, A Hidalgo, M Castro, C Parés, EF Toro Computer Methods in Applied Mechanics and Engineering 199 (9-12), 625-647, 2010 | 205 | 2010 |
| Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique MJ Castro, A Pardo Milanés, C Parés Mathematical Models and Methods in Applied Sciences 17 (12), 2055-2113, 2007 | 170 | 2007 |
| Numerical simulation of two-layer shallow water flows through channels with irregular geometry MJ Castro, JA Garcıa-Rodrıguez, JM González-Vida, J Macıas, C Parés, ... Journal of Computational Physics 195 (1), 202-235, 2004 | 167 | 2004 |
| The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems MJ Castro, AMF Ferreiro, JA García-Rodríguez, JM González-Vida, ... Mathematical and computer modelling 42 (3-4), 419-439, 2005 | 165 | 2005 |
| High order extensions of Roe schemes for two-dimensional nonconservative hyperbolic systems MJ Castro, ED Fernández-Nieto, AM Ferreiro, JA García-Rodríguez, ... Journal of Scientific Computing 39, 67-114, 2009 | 141 | 2009 |
| Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties LO Müller, C Parés, EF Toro Journal of computational physics 242, 53-85, 2013 | 134 | 2013 |
| Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes MJC Dı, ED Fernández-Nieto, AM Ferreiro, C Parés Computer Methods in Applied Mechanics and Engineering 198 (33-36), 2520-2538, 2009 | 134 | 2009 |
| Well-balanced high order extensions of Godunov's method for semilinear balance laws M Castro, JM Gallardo, JA López-GarcÍa, C Parés SIAM Journal on Numerical Analysis 46 (2), 1012-1039, 2008 | 128 | 2008 |
| On some fast well-balanced first order solvers for nonconservative systems M Castro, A Pardo, C Parés, E Toro Mathematics of computation 79 (271), 1427-1472, 2010 | 127 | 2010 |
| Well-balanced schemes and path-conservative numerical methods MJ Castro, TM de Luna, C Parés Handbook of numerical analysis 18, 131-175, 2017 | 111 | 2017 |
| Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system MJ Castro-Díaz, ED Fernández-Nieto, JM González-Vida, ... Journal of Scientific Computing 48, 16-40, 2011 | 111 | 2011 |
| Well-balanced high-order finite volume methods for systems of balance laws MJ Castro, C Parés Journal of Scientific Computing 82 (2), 48, 2020 | 110 | 2020 |
| High order exactly well-balanced numerical methods for shallow water systems MJC Díaz, JA López-García, C Parés Journal of Computational Physics 246, 242-264, 2013 | 106 | 2013 |
Manuel J. Castro DíazUniversidad de MálagaVerified email at uma.es
