Carrillo, H.; Macca, E.; Parés, Carlos; Russo, G. Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. (English) Zbl 07660341 J. Comput. Phys. 478, Article ID 111979, 51 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{H. Carrillo} et al., J. Comput. Phys. 478, Article ID 111979, 51 p. (2023; Zbl 07660341) Full Text: DOI arXiv
Castro, Manuel J.; La Asunción, Marc De; Fernández Nieto, Enrique D.; Gallardo, José M.; Vida, José M. González; Macías, Jorge; Morales, Tomás; Ortega, Sergio; Parés, Carlos A review on high order well-balanced path-conservative finite volume schemes for geophysical flows. (English) Zbl 1450.65095 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3515-3539 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65Y05 65Y10 86A05 86A15 76B15 35Q86 PDFBibTeX XMLCite \textit{M. J. Castro} et al., in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3515--3539 (2018; Zbl 1450.65095) Full Text: DOI
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F. Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. (English) Zbl 1323.92066 J. Comput. Phys. 242, 53-85 (2013). MSC: 92C35 76Z05 65M08 PDFBibTeX XMLCite \textit{L. O. Müller} et al., J. Comput. Phys. 242, 53--85 (2013; Zbl 1323.92066) Full Text: DOI
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. (English) Zbl 1227.76043 Comput. Methods Appl. Mech. Eng. 199, No. 9-12, 625-647 (2010). MSC: 76M12 76M10 65M06 65M08 65M60 76T30 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Comput. Methods Appl. Mech. Eng. 199, No. 9--12, 625--647 (2010; Zbl 1227.76043) Full Text: DOI
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
Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; Parés, C. Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes. (English) Zbl 1228.76091 Comput. Methods Appl. Mech. Eng. 198, No. 33-36, 2520-2538 (2009). MSC: 76M12 76T20 76B10 76A05 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} et al., Comput. Methods Appl. Mech. Eng. 198, No. 33--36, 2520--2538 (2009; Zbl 1228.76091) 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, Manuel; Gallardo, José M.; López-García, Juan A.; Parés, Carlos Well-balanced high order extensions of Godunov’s method for semilinear balance laws. (English) Zbl 1159.74045 SIAM J. Numer. Anal. 46, No. 2, 1012-1039 (2008). MSC: 74S10 65M06 35L60 35L65 PDFBibTeX XMLCite \textit{M. Castro} et al., SIAM J. Numer. Anal. 46, No. 2, 1012--1039 (2008; Zbl 1159.74045) Full Text: DOI
Parés, Carlos Numerical methods for nonconservative hyperbolic systems: A theoretical framework. (English) Zbl 1130.65089 SIAM J. Numer. Anal. 44, No. 1, 300-321 (2006). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M06 35L60 35L65 35L67 PDFBibTeX XMLCite \textit{C. Parés}, SIAM J. Numer. Anal. 44, No. 1, 300--321 (2006; Zbl 1130.65089) Full Text: DOI