Caballero-Cárdenas, C.; Castro, M. J.; Morales de Luna, T.; Muñoz-Ruiz, M. L. Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system. (English) Zbl 1511.76059 Appl. Math. Comput. 443, Article ID 127784, 24 p. (2023). MSC: 76M12 35L65 PDFBibTeX XMLCite \textit{C. Caballero-Cárdenas} et al., Appl. Math. Comput. 443, Article ID 127784, 24 p. (2023; Zbl 1511.76059) Full Text: DOI
Gómez-Bueno, I.; Boscarino, S.; Castro, M. J.; Parés, C.; Russo, G. Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. (English) Zbl 1506.65135 Appl. Numer. Math. 184, 18-48 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N06 65L06 76B15 76M12 76M20 PDFBibTeX XMLCite \textit{I. Gómez-Bueno} et al., Appl. Numer. Math. 184, 18--48 (2023; Zbl 1506.65135) Full Text: DOI arXiv
Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael A well balanced finite volume scheme for general relativity. (English) Zbl 07456293 SIAM J. Sci. Comput. 43, No. 6, B1226-B1251 (2021). MSC: 65-XX 35L40 65M08 83C05 83C10 85-08 85-10 85A30 PDFBibTeX XMLCite \textit{E. Gaburro} et al., SIAM J. Sci. Comput. 43, No. 6, B1226--B1251 (2021; Zbl 07456293) Full Text: DOI arXiv
Gómez-Bueno, Irene; Castro, Manuel J.; Parés, Carlos High-order well-balanced methods for systems of balance laws: a control-based approach. (English) Zbl 1465.76062 Appl. Math. Comput. 394, Article ID 125820, 37 p. (2021). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{I. Gómez-Bueno} et al., Appl. Math. Comput. 394, Article ID 125820, 37 p. (2021; Zbl 1465.76062) Full Text: DOI
Carrillo, José A.; Castro, Manuel J.; Kalliadasis, Serafim; Perez, Sergio P. High-order well-balanced finite-volume schemes for hydrodynamic equations with nonlocal free energy. (English) Zbl 1469.65138 SIAM J. Sci. Comput. 43, No. 2, A828-A858 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35Q35 35Q82 35Q92 76M12 82M36 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Sci. Comput. 43, No. 2, A828--A858 (2021; Zbl 1469.65138) Full Text: DOI arXiv
Ferreiro-Ferreiro, A. M.; García-Rodríguez, J. A.; López-Salas, J. G.; Escalante, C.; Castro, M. J. Global optimization for data assimilation in landslide tsunami models. (English) Zbl 1453.86028 J. Comput. Phys. 403, Article ID 109069, 22 p. (2020). MSC: 86A15 65K10 86A05 86-08 65M08 65Y05 65Z05 PDFBibTeX XMLCite \textit{A. M. Ferreiro-Ferreiro} et al., J. Comput. Phys. 403, Article ID 109069, 22 p. (2020; Zbl 1453.86028) Full Text: DOI
Castro, Manuel J.; Parés, Carlos Well-balanced high-order finite volume methods for systems of balance laws. (English) Zbl 1440.65109 J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020). MSC: 65M08 76M12 76N06 76B15 35Q31 35D30 PDFBibTeX XMLCite \textit{M. J. Castro} and \textit{C. Parés}, J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020; Zbl 1440.65109) Full Text: DOI
Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael A well balanced diffuse interface method for complex nonhydrostatic free surface flows. (English) Zbl 1410.76224 Comput. Fluids 175, 180-198 (2018). MSC: 76M12 65M08 65Y10 76Nxx 76T10 PDFBibTeX XMLCite \textit{E. Gaburro} et al., Comput. Fluids 175, 180--198 (2018; Zbl 1410.76224) Full Text: DOI arXiv
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos Reprint of: “Well-balanced methods for the shallow water equations in spherical coordinates”. (English) Zbl 1391.76392 Comput. Fluids 169, 129-140 (2018). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Comput. Fluids 169, 129--140 (2018; Zbl 1391.76392) Full Text: DOI
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos Well-balanced methods for the shallow water equations in spherical coordinates. (English) Zbl 1390.76408 Comput. Fluids 157, 196-207 (2017). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Comput. Fluids 157, 196--207 (2017; Zbl 1390.76408) Full Text: DOI
Sánchez-Linares, C.; de la Asunción, M.; Castro, M. J.; Mishra, S.; Šukys, J. Multi-level Monte Carlo finite volume method for shallow water equations with uncertain parameters applied to landslides-generated tsunamis. (English) Zbl 1443.76068 Appl. Math. Modelling 39, No. 23-24, 7211-7226 (2015). MSC: 76-10 76M12 65C05 PDFBibTeX XMLCite \textit{C. Sánchez-Linares} et al., Appl. Math. Modelling 39, No. 23--24, 7211--7226 (2015; Zbl 1443.76068) Full Text: DOI
de la Asunción, Marc; Castro, Manuel J.; Fernández-Nieto, E. D.; Mantas, José M.; Acosta, Sergio Ortega; González-Vida, José Manuel Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes. (English) Zbl 1284.76274 Comput. Fluids 80, 441-452 (2013). MSC: 76M12 65M08 65Y10 76B15 PDFBibTeX XMLCite \textit{M. de la Asunción} et al., Comput. Fluids 80, 441--452 (2013; Zbl 1284.76274) Full Text: DOI Link
Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F. On some fast well-balanced first order solvers for nonconservative systems. (English) Zbl 1369.65107 Math. Comput. 79, No. 271, 1427-1472 (2010). MSC: 65M08 35L60 76B15 76M20 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Math. Comput. 79, No. 271, 1427--1472 (2010; Zbl 1369.65107) Full Text: DOI
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. (English) Zbl 1177.76222 Comput. Fluids 38, No. 9, 1731-1748 (2009). MSC: 76M12 76M10 76B70 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Comput. Fluids 38, No. 9, 1731--1748 (2009; Zbl 1177.76222) Full Text: DOI
Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C. Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions. (English) Zbl 1211.76074 J. Comput. Appl. Math. 221, No. 1, 16-32 (2008). MSC: 76M12 65M06 76B15 65Y10 PDFBibTeX XMLCite \textit{M. J. Castro} et al., J. Comput. Appl. Math. 221, No. 1, 16--32 (2008; Zbl 1211.76074) Full Text: DOI
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. (English) Zbl 1176.76084 J. Comput. Phys. 227, No. 17, 8107-8129 (2008). Reviewer: Hanaa Hamad (Alexandria) MSC: 76M20 76L05 65M06 65M12 PDFBibTeX XMLCite \textit{M. J. Castro} et al., J. Comput. Phys. 227, No. 17, 8107--8129 (2008; Zbl 1176.76084) Full Text: DOI arXiv
Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. (English) Zbl 1137.76038 Math. Models Methods Appl. Sci. 17, No. 12, 2055-2113 (2007). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Math. Models Methods Appl. Sci. 17, No. 12, 2055--2113 (2007; Zbl 1137.76038) Full Text: DOI
Gallardo, José M.; Parés, Carlos; Castro, Manuel On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas. (English) Zbl 1126.76036 J. Comput. Phys. 227, No. 1, 574-601 (2007). MSC: 76M12 76B15 86A05 PDFBibTeX XMLCite \textit{J. M. Gallardo} et al., J. Comput. Phys. 227, No. 1, 574--601 (2007; Zbl 1126.76036) Full Text: DOI
Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C. A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows. (English) Zbl 1388.76169 Comput. Methods Appl. Mech. Eng. 195, No. 19-22, 2788-2815 (2006). MSC: 76M12 76B15 65Y05 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Comput. Methods Appl. Mech. Eng. 195, No. 19--22, 2788--2815 (2006; Zbl 1388.76169) Full Text: DOI
Castro, Manuel; Gallardo, José M.; Parés, Carlos High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. (English) Zbl 1096.65082 Math. Comput. 75, No. 255, 1103-1134 (2006). Reviewer: Song Jiang (Beijing) MSC: 65M06 76M12 35L65 76B15 65M15 PDFBibTeX XMLCite \textit{M. Castro} et al., Math. Comput. 75, No. 255, 1103--1134 (2006; Zbl 1096.65082) Full Text: DOI