Hoai Linh, Nguyen Ba; Cuong, Dao Huy A well-balanced finite volume scheme based on planar Riemann solutions for 2D shallow water equations with bathymetry. (English) Zbl 07736198 Appl. Math. Comput. 457, Article ID 128167, 38 p. (2023). MSC: 35Lxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{N. B. Hoai Linh} and \textit{D. H. Cuong}, Appl. Math. Comput. 457, Article ID 128167, 38 p. (2023; Zbl 07736198) Full Text: DOI
Pandey, Prashant Kumar; Dubey, Ritesh Kumar Sign stable arbitrary high order reconstructions for constructing non-oscillatory entropy stable schemes. (English) Zbl 07704186 Appl. Math. Comput. 454, Article ID 128099, 18 p. (2023). MSC: 65M06 35L04 PDFBibTeX XMLCite \textit{P. K. Pandey} and \textit{R. K. Dubey}, Appl. Math. Comput. 454, Article ID 128099, 18 p. (2023; Zbl 07704186) Full Text: DOI
Carlino, Michele Giuliano; Gaburro, Elena Well balanced finite volume schemes for shallow water equations on manifolds. (English) Zbl 1511.76060 Appl. Math. Comput. 441, Article ID 127676, 25 p. (2023). MSC: 76M12 65M08 65M06 74S20 76M20 PDFBibTeX XMLCite \textit{M. G. Carlino} and \textit{E. Gaburro}, Appl. Math. Comput. 441, Article ID 127676, 25 p. (2023; Zbl 1511.76060) Full Text: DOI arXiv
Gaburro, Elena; Öffner, Philipp; Ricchiuto, Mario; Torlo, Davide High order entropy preserving ADER-DG schemes. (English) Zbl 1511.65109 Appl. Math. Comput. 440, Article ID 127644, 21 p. (2023). MSC: 65M70 65L06 35L65 65L20 65M12 65P10 PDFBibTeX XMLCite \textit{E. Gaburro} et al., Appl. Math. Comput. 440, Article ID 127644, 21 p. (2023; Zbl 1511.65109) Full Text: DOI arXiv
Abgrall, Rémi; Busto, Saray; Dumbser, Michael A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. (English) Zbl 1510.76098 Appl. Math. Comput. 440, Article ID 127629, 40 p. (2023). MSC: 76M12 76M10 65M08 65M12 65M60 76B15 PDFBibTeX XMLCite \textit{R. Abgrall} et al., Appl. Math. Comput. 440, Article ID 127629, 40 p. (2023; Zbl 1510.76098) Full Text: DOI
Garg, Naveen Kumar; Gowda, G. D. Veerappa Godunov-type schemes for the pressureless gas dynamics and related models. (English) Zbl 1510.76100 Appl. Math. Comput. 418, Article ID 126790, 14 p. (2022). MSC: 76M12 15A21 35L65 65M08 76N15 PDFBibTeX XMLCite \textit{N. K. Garg} and \textit{G. D. V. Gowda}, Appl. Math. Comput. 418, Article ID 126790, 14 p. (2022; Zbl 1510.76100) Full Text: DOI
Bahmani, Erfan; Shokri, Ali Numerical study of the unsteady 2D coupled magneto-hydrodynamic equations on regular/irregular pipe using direct meshless local Petrov-Galerkin method. (English) Zbl 1510.76205 Appl. Math. Comput. 417, Article ID 126769, 17 p. (2022). MSC: 76W05 65N30 35L70 76M10 PDFBibTeX XMLCite \textit{E. Bahmani} and \textit{A. Shokri}, Appl. Math. Comput. 417, Article ID 126769, 17 p. (2022; Zbl 1510.76205) Full Text: DOI
Li, Yixin; Hu, Xianliang Artificial neural network approximations of Cauchy inverse problem for linear PDEs. (English) Zbl 1510.65230 Appl. Math. Comput. 414, Article ID 126678, 14 p. (2022). MSC: 65M32 35Q49 49N45 68T07 35R30 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X. Hu}, Appl. Math. Comput. 414, Article ID 126678, 14 p. (2022; Zbl 1510.65230) Full Text: DOI
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
Wang, Xiufang; Li, Gang; Qian, Shouguo; Li, Jiaojiao; Wang, Zhen High order well-balanced finite difference WENO schemes for shallow water flows along channels with irregular geometry. (English) Zbl 1433.76120 Appl. Math. Comput. 363, Article ID 124587, 16 p. (2019). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Comput. 363, Article ID 124587, 16 p. (2019; Zbl 1433.76120) Full Text: DOI
Qian, Shouguo; Liu, Yu; Li, Gang; Yuan, Li High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields. (English) Zbl 1427.76141 Appl. Math. Comput. 329, 23-37 (2018). MSC: 76M10 65M60 76N15 35Q31 83C55 85A30 PDFBibTeX XMLCite \textit{S. Qian} et al., Appl. Math. Comput. 329, 23--37 (2018; Zbl 1427.76141) Full Text: DOI
Ray, Deep; Chandrashekar, Praveen An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids. (English) Zbl 1426.76414 Appl. Math. Comput. 314, 257-286 (2017). MSC: 76M12 65M08 35Q30 76N15 PDFBibTeX XMLCite \textit{D. Ray} and \textit{P. Chandrashekar}, Appl. Math. Comput. 314, 257--286 (2017; Zbl 1426.76414) Full Text: DOI
Sarkar, Tanmay Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity. (English) Zbl 1426.78033 Appl. Math. Comput. 314, 212-227 (2017). MSC: 78M10 65M60 35Q60 65M12 65M15 76W05 76M10 PDFBibTeX XMLCite \textit{T. Sarkar}, Appl. Math. Comput. 314, 212--227 (2017; Zbl 1426.78033) Full Text: DOI
Betancourt, Fernando; Rohde, Christian Finite-volume schemes for Friedrichs systems with involutions. (English) Zbl 1410.78029 Appl. Math. Comput. 272, Part 2, 420-439 (2016). MSC: 78M12 65M08 78A25 PDFBibTeX XMLCite \textit{F. Betancourt} and \textit{C. Rohde}, Appl. Math. Comput. 272, Part 2, 420--439 (2016; Zbl 1410.78029) Full Text: DOI
Kemm, Friedemann Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning. (English) Zbl 1410.76238 Appl. Math. Comput. 272, Part 2, 385-402 (2016). MSC: 76M12 65M08 76W05 PDFBibTeX XMLCite \textit{F. Kemm}, Appl. Math. Comput. 272, Part 2, 385--402 (2016; Zbl 1410.76238) Full Text: DOI arXiv
Gassner, Gregor J.; Winters, Andrew R.; Kopriva, David A. A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. (English) Zbl 1410.65393 Appl. Math. Comput. 272, Part 2, 291-308 (2016). MSC: 65M70 65M60 76B15 PDFBibTeX XMLCite \textit{G. J. Gassner} et al., Appl. Math. Comput. 272, Part 2, 291--308 (2016; Zbl 1410.65393) Full Text: DOI Link
Xiao, Aiguo; Zhang, Gengen; Yi, Xing Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. (English) Zbl 1338.65179 Appl. Math. Comput. 247, 47-60 (2014). MSC: 65L04 65L06 34A45 PDFBibTeX XMLCite \textit{A. Xiao} et al., Appl. Math. Comput. 247, 47--60 (2014; Zbl 1338.65179) Full Text: DOI
Wang, Guodong; Ge, Cishui Semidiscrete central-upwind scheme for conservation laws with a discontinuous flux function in space. (English) Zbl 1213.65127 Appl. Math. Comput. 217, No. 17, 7065-7073 (2011). MSC: 65M20 65M06 35L65 PDFBibTeX XMLCite \textit{G. Wang} and \textit{C. Ge}, Appl. Math. Comput. 217, No. 17, 7065--7073 (2011; Zbl 1213.65127) Full Text: DOI