Schneider, Kleiton A.; Gallardo, José M.; Escalante, Cipriano Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas. (English) Zbl 1492.76086 J. Sci. Comput. 92, No. 2, Paper No. 30, 42 p. (2022). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{K. A. Schneider} et al., J. Sci. Comput. 92, No. 2, Paper No. 30, 42 p. (2022; Zbl 1492.76086) Full Text: DOI
Schneider, Kleiton A.; Gallardo, José M.; Balsara, Dinshaw S.; Nkonga, Boniface; Parés, Carlos Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems. (English) Zbl 07515448 J. Comput. Phys. 444, Article ID 110547, 49 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{K. A. Schneider} et al., J. Comput. Phys. 444, Article ID 110547, 49 p. (2021; Zbl 07515448) Full Text: DOI
Gallardo, José M.; Castro, Manuel J.; Marquina, Antonio Incomplete Riemann solvers based on functional approximations to the absolute value function. (English) Zbl 07451983 Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 3-27 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. M. Gallardo} et al., SEMA SIMAI Springer Ser. 28, 3--27 (2021; Zbl 07451983) Full Text: DOI
Gallardo, José M.; Schneider, Kleiton A.; Castro, Manuel J. On a class of two-dimensional incomplete Riemann solvers. (English) Zbl 1452.76114 J. Comput. Phys. 386, 541-567 (2019). MSC: 76M12 65M08 76W05 35L40 35L65 PDFBibTeX XMLCite \textit{J. M. Gallardo} et al., J. Comput. Phys. 386, 541--567 (2019; Zbl 1452.76114) Full Text: DOI arXiv
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics. (English) Zbl 1411.65119 Comput. Phys. Commun. 219, 108-120 (2017). MSC: 65M08 76M12 76Y05 76W05 35L65 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Comput. Phys. Commun. 219, 108--120 (2017; Zbl 1411.65119) Full Text: DOI
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio New types of Jacobian-free approximate Riemann solvers for hyperbolic systems. (English) Zbl 1365.76142 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 23-31 (2017). MSC: 76M12 76W05 65M08 35L65 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Springer Proc. Math. Stat. 200, 23--31 (2017; Zbl 1365.76142) 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
Castro, M. J.; Gallardo, J. M.; Marquina, A. Approximate Osher-Solomon schemes for hyperbolic systems. (English) Zbl 1402.35019 Ortegón Gallego, Francisco (ed.) et al., Trends in differential equations and applications. Selected papers based on the presentations at the XXIVth congress on differential equations and applications/XIVth congress on applied mathematics, Cádiz, Spain, June 8–12, 2015. Cham: Springer (ISBN 978-3-319-32012-0/hbk; 978-3-319-32013-7/ebook). SEMA SIMAI Springer Series 8, 1-16 (2016). MSC: 35A35 35L40 65M12 PDFBibTeX XMLCite \textit{M. J. Castro} et al., SEMA SIMAI Springer Ser. 8, 1--16 (2016; Zbl 1402.35019) Full Text: DOI
Gallardo, José M.; Ortega, Sergio; de la Asunción, Marc; Mantas, José Miguel Two-dimensional compact third-order polynomial reconstructions. Solving nonconservative hyperbolic systems using GPUs. (English) Zbl 1426.76366 J. Sci. Comput. 48, No. 1-3, 141-163 (2011). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{J. M. Gallardo} et al., J. Sci. Comput. 48, No. 1--3, 141--163 (2011; Zbl 1426.76366) Full Text: DOI