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
Escalante, C.; Castro, M. J.; Semplice, M. Very high order well-balanced schemes for non-prismatic one-dimensional channels with arbitrary shape. (English) Zbl 1508.76017 Appl. Math. Comput. 398, Article ID 125993, 17 p. (2021). MSC: 76B15 35Q35 76M12 65M08 PDFBibTeX XMLCite \textit{C. Escalante} et al., Appl. Math. Comput. 398, Article ID 125993, 17 p. (2021; Zbl 1508.76017) Full Text: DOI
Escalante, C.; Fernández-Nieto, E. D.; Morales de Luna, T.; Castro, M. J. An efficient two-layer non-hydrostatic approach for dispersive water waves. (English) Zbl 1444.76032 J. Sci. Comput. 79, No. 1, 273-320 (2019). MSC: 76B15 86A05 76M12 76M20 35Q31 PDFBibTeX XMLCite \textit{C. Escalante} et al., J. Sci. Comput. 79, No. 1, 273--320 (2019; Zbl 1444.76032) Full Text: DOI Link
Escalante, C.; Morales de Luna, T.; Castro, M. J. Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme. (English) Zbl 1427.76160 Appl. Math. Comput. 338, 631-659 (2018). MSC: 76M12 76B15 76M20 65M06 65M08 76D05 PDFBibTeX XMLCite \textit{C. Escalante} et al., Appl. Math. Comput. 338, 631--659 (2018; Zbl 1427.76160) Full Text: DOI arXiv
Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. Reprint of: “Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes”. (English) Zbl 1391.76406 Comput. Fluids 169, 263-284 (2018). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{E. Gaburro} et al., Comput. Fluids 169, 263--284 (2018; Zbl 1391.76406) Full Text: DOI
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
Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. (English) Zbl 1390.76433 Comput. Fluids 159, 254-275 (2017). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{E. Gaburro} et al., Comput. Fluids 159, 254--275 (2017; Zbl 1390.76433) Full Text: DOI arXiv
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
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio Approximate Osher-Solomon schemes for hyperbolic systems. (English) Zbl 1410.76325 Appl. Math. Comput. 272, Part 2, 347-368 (2016). MSC: 76M25 65M25 76N15 76W05 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Appl. Math. Comput. 272, Part 2, 347--368 (2016; Zbl 1410.76325) 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
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function. (English) Zbl 1299.76181 J. Sci. Comput. 60, No. 2, 363-389 (2014). MSC: 76M25 76N15 76W05 35Q31 35L99 PDFBibTeX XMLCite \textit{M. J. Castro} et al., J. Sci. Comput. 60, No. 2, 363--389 (2014; Zbl 1299.76181) 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.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. (English) Zbl 1317.65167 SIAM J. Numer. Anal. 51, No. 3, 1371-1391 (2013). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65M06 65M12 35L72 35Q53 76M20 76B15 PDFBibTeX XMLCite \textit{M. J. Castro} et al., SIAM J. Numer. Anal. 51, No. 3, 1371--1391 (2013; Zbl 1317.65167) Full Text: DOI Link
Castro, Manuel J.; López, Juan Antonio; Parés, Carlos Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system. (English) Zbl 1183.74332 SIAM J. Sci. Comput. 31, No. 1, 444-477 (2008). MSC: 74S10 65M06 35L60 35L65 PDFBibTeX XMLCite \textit{M. J. Castro} et al., SIAM J. Sci. Comput. 31, No. 1, 444--477 (2008; Zbl 1183.74332) Full Text: DOI
Castro, M. J.; Parés, C.; Pardo, A.; Toro, E. F. Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. (English) Zbl 1188.65114 Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 249-256 (2008). MSC: 65M06 35L60 35L65 PDFBibTeX XMLCite \textit{M. J. Castro} et al., in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10--14, 2007. Berlin: Springer. 249--256 (2008; Zbl 1188.65114) 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.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos Improved FVM for two-layer shallow-water models: application to the strait of Gibraltar. (English) Zbl 1137.76320 Adv. Eng. Softw. 38, No. 6, 386-398 (2007). MSC: 76B07 76B15 76B55 76M20 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Adv. Eng. Softw. 38, No. 6, 386--398 (2007; Zbl 1137.76320) Full Text: DOI
Castro, Manuel J.; González-Vida, José M.; Parés, Carlos Numerical treatment of wet/dry fronts in shallow flows with a modified Roe scheme. (English) Zbl 1136.65330 Math. Models Methods Appl. Sci. 16, No. 6, 897-931 (2006). MSC: 65M06 35L65 76M12 76B15 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Math. Models Methods Appl. Sci. 16, No. 6, 897--931 (2006; Zbl 1136.65330) Full Text: DOI
Castro, M. J.; Ferreiro Ferreiro, A. M.; García-Rodríguez, J. A.; González-Vida, J. M.; Macías, J.; Parés, C.; Vázquez-Cendón, M. Elena The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems. (English) Zbl 1121.76008 Math. Comput. Modelling 42, No. 3-4, 419-439 (2005). MSC: 76B07 76B15 76B55 76M20 65M06 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Math. Comput. Modelling 42, No. 3--4, 419--439 (2005; Zbl 1121.76008) Full Text: DOI
Castro, Manuel J.; Macías, Jorge; Parés, Carlos; García-Rodríguez, Jose A.; Vázquez-Cendón, Elena A two-layer finite volume model for flows through channels with irregular geometry: computation of maximal exchange solutions. Application to the Strait of Gibraltar. (English) Zbl 1136.76394 Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 241-249 (2004). MSC: 76M12 76B15 35L55 76T99 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 241--249 (2004; Zbl 1136.76394) Full Text: DOI
Castro, M. J.; Garcia-Navarro, P. The application of a conservative grid adaptation technique to 1D shallow water equations. (English) Zbl 0999.76090 Math. Comput. Modelling 34, No. 1-2, 29-35 (2001). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{M. J. Castro} and \textit{P. Garcia-Navarro}, Math. Comput. Modelling 34, No. 1--2, 29--35 (2001; Zbl 0999.76090) Full Text: DOI
Castro, M.; Macías, J.; Parés, C. An incomplete LU-based family of preconditioners for numerical resolution of a shallow water system using a duality method—applications. (English) Zbl 1012.76044 Appl. Math. Lett. 14, No. 5, 651-656 (2001). MSC: 76M10 76B15 65M25 PDFBibTeX XMLCite \textit{M. Castro} et al., Appl. Math. Lett. 14, No. 5, 651--656 (2001; Zbl 1012.76044) Full Text: DOI
Valle, Antonio; Parés, Carlos; Macías, Jorge; Castro, Manuel J. Numerical resolution of a shallow water system using a duality method application to the Alboran Sea. (English) Zbl 0918.35116 Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions. Gauthier-Villars: Paris. 759-786 (1998). Reviewer: I.N.Molchanov (Kyïv) MSC: 35Q35 65M99 65N99 86A05 PDFBibTeX XMLCite \textit{A. Valle} et al., in: Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions. Gauthier-Villars: Paris. 759--786 (1998; Zbl 0918.35116)
Castro, M. J.; Parés, C.; Macías, J. Numerical modelling of the Alboran Sea. (English) Zbl 0889.76014 Morgan, K. (ed.) et al., Finite elements in fluids: new trends and applications. Proceedings of the 8th international conference, Barcelona, Spain, September 20-23, 1993. Part II. Barcelona: Centro Internacional de Métodos Numéricos en Ingenería. 1081-1090 (1993). Reviewer: G.Camenschi (Bucureşti) MSC: 76D33 76M10 86A05 PDFBibTeX XMLCite \textit{M. J. Castro} et al., in: Finite elements in fluids: new trends and applications. Proceedings of the 8th international conference, Barcelona, Spain, September 20-23, 1993. Part II. Barcelona: Centro Internacional de Métodos Numéricos en Ingenería; Swansea: Pineridge Press. 1081--1090 (1993; Zbl 0889.76014)