Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy On thermodynamically compatible finite volume schemes for continuum mechanics. (English) Zbl 07556268 SIAM J. Sci. Comput. 44, No. 3, A1723-A1751 (2022). MSC: 65-XX 35L40 65M08 PDFBibTeX XMLCite \textit{S. Busto} et al., SIAM J. Sci. Comput. 44, No. 3, A1723--A1751 (2022; Zbl 07556268) Full Text: DOI
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
Laiu, M. Paul; Frank, Martin; Hauck, Cory D. A positive asymptotic-preserving scheme for linear kinetic transport equations. (English) Zbl 1447.65025 SIAM J. Sci. Comput. 41, No. 3, A1500-A1526 (2019). Reviewer: Yajuan Sun (Beijing) MSC: 65M06 35B09 35L40 41A60 65M70 82C70 82D75 35B40 35Q49 35P25 PDFBibTeX XMLCite \textit{M. P. Laiu} et al., SIAM J. Sci. Comput. 41, No. 3, A1500--A1526 (2019; Zbl 1447.65025) Full Text: DOI arXiv
Pidatella, Rosa Maria; Puppo, Gabriella; Russo, Giovanni; Santagati, Pietro Semi-conservative finite volume schemes for conservation laws. (English) Zbl 1432.76179 SIAM J. Sci. Comput. 41, No. 3, B576-B600 (2019). MSC: 76M12 65M08 35L45 35L65 65M20 76N15 PDFBibTeX XMLCite \textit{R. M. Pidatella} et al., SIAM J. Sci. Comput. 41, No. 3, B576--B600 (2019; Zbl 1432.76179) Full Text: DOI
Dimarco, G.; Pareschi, L.; Samaey, G. Asymptotic-preserving Monte Carlo methods for transport equations in the diffusive limit. (English) Zbl 1383.65130 SIAM J. Sci. Comput. 40, No. 1, A504-A528 (2018). MSC: 65M75 35L02 65C05 82C70 PDFBibTeX XMLCite \textit{G. Dimarco} et al., SIAM J. Sci. Comput. 40, No. 1, A504--A528 (2018; Zbl 1383.65130) Full Text: DOI arXiv
Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. (English) Zbl 1377.65115 SIAM J. Sci. Comput. 39, No. 6, A2564-A2591 (2017). MSC: 65M08 35L60 76N15 76M12 65Y05 PDFBibTeX XMLCite \textit{M. Dumbser} et al., SIAM J. Sci. Comput. 39, No. 6, A2564--A2591 (2017; Zbl 1377.65115) Full Text: DOI arXiv
Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura; Yang, Yong Invariant domains preserving arbitrary Lagrangian Eulerian approximation of hyperbolic systems with continuous finite elements. (English) Zbl 1365.65222 SIAM J. Sci. Comput. 39, No. 2, A385-A414 (2017). MSC: 65M60 35L65 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., SIAM J. Sci. Comput. 39, No. 2, A385--A414 (2017; Zbl 1365.65222) Full Text: DOI arXiv
Kalise, Dante; Kröner, Axel; Kunisch, Karl Local minimization algorithms for dynamic programming equations. (English) Zbl 1339.65084 SIAM J. Sci. Comput. 38, No. 3, A1587-A1615 (2016). MSC: 65K10 49J20 49M15 49L20 35F21 PDFBibTeX XMLCite \textit{D. Kalise} et al., SIAM J. Sci. Comput. 38, No. 3, A1587--A1615 (2016; Zbl 1339.65084) Full Text: DOI arXiv
Bokanowski, Olivier; Falcone, Maurizio; Sahu, Smita An efficient filtered scheme for some first order time-dependent Hamilton-Jacobi equations. (English) Zbl 1407.65093 SIAM J. Sci. Comput. 38, No. 1, A171-A195 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65M12 35F21 35F25 65M15 35D40 65N15 PDFBibTeX XMLCite \textit{O. Bokanowski} et al., SIAM J. Sci. Comput. 38, No. 1, A171--A195 (2016; Zbl 1407.65093) Full Text: DOI arXiv
Boileau, M.; Chalons, C.; Massot, M. Robust numerical coupling of pressure and pressureless gas dynamics equations for Eulerian spray DNS and LES. (English) Zbl 1320.76052 SIAM J. Sci. Comput. 37, No. 1, B79-B102 (2015). MSC: 76F65 76M12 76N15 35L60 35L65 35L67 65Z05 65M08 76T15 PDFBibTeX XMLCite \textit{M. Boileau} et al., SIAM J. Sci. Comput. 37, No. 1, B79--B102 (2015; Zbl 1320.76052) Full Text: DOI HAL
Abgrall, R.; De Santis, D.; Ricchiuto, M. High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. (English) Zbl 1297.65119 SIAM J. Sci. Comput. 36, No. 3, A955-A983 (2014). MSC: 65M60 35L60 65M50 PDFBibTeX XMLCite \textit{R. Abgrall} et al., SIAM J. Sci. Comput. 36, No. 3, A955--A983 (2014; Zbl 1297.65119) Full Text: DOI
Parsani, M.; Ketcheson, David I.; Deconinck, W. Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems. (English) Zbl 1266.65157 SIAM J. Sci. Comput. 35, No. 2, A957-A986 (2013). MSC: 65M20 65L06 35L50 PDFBibTeX XMLCite \textit{M. Parsani} et al., SIAM J. Sci. Comput. 35, No. 2, A957--A986 (2013; Zbl 1266.65157) Full Text: DOI arXiv
Arun, K. R. A numerical scheme for three-dimensional front propagation and control of Jordan mode. (English) Zbl 1260.65080 SIAM J. Sci. Comput. 34, No. 2, B148-B178 (2012). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M08 35L60 35L80 58J47 65M06 65L06 PDFBibTeX XMLCite \textit{K. R. Arun}, SIAM J. Sci. Comput. 34, No. 2, B148--B178 (2012; Zbl 1260.65080) Full Text: DOI Link
Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T. Toward a mathematical analysis for drift-flux multiphase flow models in networks. (English) Zbl 1213.35031 SIAM J. Sci. Comput. 31, No. 6, 4633-4653 (2010). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35A35 35L60 35L65 76N10 65M99 PDFBibTeX XMLCite \textit{M. K. Banda} et al., SIAM J. Sci. Comput. 31, No. 6, 4633--4653 (2010; Zbl 1213.35031) Full Text: DOI
Abgrall, R. Construction of simple, stable, and convergent high order schemes for steady first order Hamilton-Jacobi equations. (English) Zbl 1197.65167 SIAM J. Sci. Comput. 31, No. 4, 2419-2446 (2009). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N06 65N12 65N15 49L25 35F21 PDFBibTeX XMLCite \textit{R. Abgrall}, SIAM J. Sci. Comput. 31, No. 4, 2419--2446 (2009; Zbl 1197.65167) Full Text: DOI
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
Chalons, Christophe; Coquel, Frédéric; Marmignon, Claude Well-balanced time implicit formulation of relaxation schemes for the Euler equations. (English) Zbl 1173.35322 SIAM J. Sci. Comput. 30, No. 1, 394-415 (2008). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35A35 35L60 35L65 35Q35 65M12 76M12 76N15 PDFBibTeX XMLCite \textit{C. Chalons} et al., SIAM J. Sci. Comput. 30, No. 1, 394--415 (2008; Zbl 1173.35322) Full Text: DOI
Levy, Doron; Nayak, Suhas; Shu, Chi-Wang; Zhang, Yong-Tao Central WENO schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 1126.65075 SIAM J. Sci. Comput. 28, No. 6, 2229-2247 (2006). MSC: 65M06 35L60 65M20 65M50 PDFBibTeX XMLCite \textit{D. Levy} et al., SIAM J. Sci. Comput. 28, No. 6, 2229--2247 (2006; Zbl 1126.65075) Full Text: DOI
Herty, Michael; Pareschi, Lorenzo; Seaid, Mohammed Discrete-velocity models and relaxation schemes for traffic flows. (English) Zbl 1344.65081 SIAM J. Sci. Comput. 28, No. 4, 1582-1596 (2006). MSC: 65M06 35B20 35L60 82B80 90B20 PDFBibTeX XMLCite \textit{M. Herty} et al., SIAM J. Sci. Comput. 28, No. 4, 1582--1596 (2006; Zbl 1344.65081) Full Text: DOI
Wang, C. W.; Liu, T. G.; Khoo, B. C. A real ghost fluid method for the simulation of multimedium compressible flow. (English) Zbl 1114.35119 SIAM J. Sci. Comput. 28, No. 1, 278-302 (2006). Reviewer: Stefan Balint (Timişoara) MSC: 35L45 65C20 76T10 35L67 PDFBibTeX XMLCite \textit{C. W. Wang} et al., SIAM J. Sci. Comput. 28, No. 1, 278--302 (2006; Zbl 1114.35119) Full Text: DOI
Carlini, E.; Ferretti, R.; Russo, G. A weighted essentially nonoscillatory, large time-step scheme for Hamilton-Jacobi equations. (English) Zbl 1105.65090 SIAM J. Sci. Comput. 27, No. 3, 1071-1091 (2005). Reviewer: Mária Lukáčová (Hamburg) MSC: 65M06 49L25 35L60 65M12 PDFBibTeX XMLCite \textit{E. Carlini} et al., SIAM J. Sci. Comput. 27, No. 3, 1071--1091 (2005; Zbl 1105.65090) Full Text: DOI Link
Tang, Huazhong; Warnecke, Gerald A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids. (English) Zbl 1079.65092 SIAM J. Sci. Comput. 26, No. 4, 1415-1431 (2005). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M50 35L60 35Q30 35Q53 PDFBibTeX XMLCite \textit{H. Tang} and \textit{G. Warnecke}, SIAM J. Sci. Comput. 26, No. 4, 1415--1431 (2005; Zbl 1079.65092) Full Text: DOI
Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. Finite volume evolution Galerkin methods for hyperbolic systems. (English) Zbl 1078.65562 SIAM J. Sci. Comput. 26, No. 1, 1-30 (2004). MSC: 65M06 35L45 35L65 65M25 65M60 65M15 35L05 PDFBibTeX XMLCite \textit{M. Lukácová-Medvidová} et al., SIAM J. Sci. Comput. 26, No. 1, 1--30 (2004; Zbl 1078.65562) Full Text: DOI
Bryson, Steve; Levy, Doron Central schemes for multidimensional Hamilton-Jacobi equations. (English) Zbl 1046.65069 SIAM J. Sci. Comput. 25, No. 3, 767-791 (2003). MSC: 65M06 35L60 PDFBibTeX XMLCite \textit{S. Bryson} and \textit{D. Levy}, SIAM J. Sci. Comput. 25, No. 3, 767--791 (2003; Zbl 1046.65069) Full Text: DOI
Zhang, Yong-Tao; Shu, Chi-Wang High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 1034.65051 SIAM J. Sci. Comput. 24, No. 3, 1005-1030 (2003). MSC: 65K10 65M06 65M12 35L60 49J20 49L25 65M50 PDFBibTeX XMLCite \textit{Y.-T. Zhang} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 24, No. 3, 1005--1030 (2003; Zbl 1034.65051) Full Text: DOI
Hoch, Ph.; Rascle, M. Hamilton–Jacobi equations on a manifold and applications to grid generation or refinement. (English) Zbl 1009.65063 SIAM J. Sci. Comput. 23, No. 6, 2055-2073 (2002). MSC: 65M50 35L60 49L25 94A08 70H20 PDFBibTeX XMLCite \textit{Ph. Hoch} and \textit{M. Rascle}, SIAM J. Sci. Comput. 23, No. 6, 2055--2073 (2002; Zbl 1009.65063) Full Text: DOI
Carpenter, Mark H.; Gottlieb, David; Abarbanel, Saul; Don, Wai-Sun The theoretical accuracy of Runge-Kutta time discretizations for the initial boundary value problem: A study of the boundary error. (English) Zbl 0839.65098 SIAM J. Sci. Comput. 16, No. 6, 1241-1252 (1995). Reviewer: K.Najzar (Praha) MSC: 65M20 65L06 65M15 35L60 PDFBibTeX XMLCite \textit{M. H. Carpenter} et al., SIAM J. Sci. Comput. 16, No. 6, 1241--1252 (1995; Zbl 0839.65098) Full Text: DOI
Désidéri, J.-A.; Hemker, P. W. Convergence analysis of the defect-correction iteration for hyperbolic problems. (English) Zbl 0821.65061 SIAM J. Sci. Comput. 16, No. 1, 88-118 (1995). Reviewer: V.A.Kostova (Russe) MSC: 65M06 65M12 35L45 PDFBibTeX XMLCite \textit{J. A. Désidéri} and \textit{P. W. Hemker}, SIAM J. Sci. Comput. 16, No. 1, 88--118 (1995; Zbl 0821.65061) Full Text: DOI Link
Lie, Ivar Using implicit ODE methods with iterative linear equation solvers in spectral methods. (English) Zbl 0787.65072 SIAM J. Sci. Comput. 14, No. 5, 1194-1213 (1993). Reviewer: G.Hedstrom (Livermore) MSC: 65M70 65F10 35L45 PDFBibTeX XMLCite \textit{I. Lie}, SIAM J. Sci. Comput. 14, No. 5, 1194--1213 (1993; Zbl 0787.65072) Full Text: DOI