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Yu, Changsheng; Liu, T. G.; Feng, Chengliang A well-balanced scheme for Euler equations with singular sources. (English) Zbl 07735429 SIAM J. Sci. Comput. 45, No. 4, A2119-A2151 (2023). MSC: 65-XX 35L86 35Q31 65M60 76N30 PDFBibTeX XMLCite \textit{C. Yu} et al., SIAM J. Sci. Comput. 45, No. 4, A2119--A2151 (2023; Zbl 07735429) Full Text: DOI arXiv
Adimurthi, A.; Aggarwal, Aekta; Veerappa Gowda, G. D. Godunov-type numerical methods for a model of granular flow. (English) Zbl 1349.76297 J. Comput. Phys. 305, 1083-1118 (2016). MSC: 76M12 76M20 65M08 65M06 76T25 PDFBibTeX XMLCite \textit{A. Adimurthi} et al., J. Comput. Phys. 305, 1083--1118 (2016; Zbl 1349.76297) Full Text: DOI
Zhang, Ting; Shen, Chun The shock wave solution to the Riemann problem for the Burgers equation with the linear forcing term. (English) Zbl 1335.35158 Appl. Anal. 95, No. 2, 283-302 (2016). MSC: 35L67 35L65 35B25 90B20 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{C. Shen}, Appl. Anal. 95, No. 2, 283--302 (2016; Zbl 1335.35158) Full Text: DOI
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. (English) Zbl 1452.35149 J. Comput. Phys. 230, No. 14, 5587-5609 (2011). MSC: 35Q35 65M08 86A05 PDFBibTeX XMLCite \textit{U. S. Fjordholm} et al., J. Comput. Phys. 230, No. 14, 5587--5609 (2011; Zbl 1452.35149) Full Text: DOI
Farjoun, Yossi; Seibold, Benjamin A rarefaction-tracking method for hyperbolic conservation laws. (English) Zbl 1188.76241 J. Eng. Math. 66, No. 1-3, 237-251 (2010). MSC: 76M55 76L05 65M25 PDFBibTeX XMLCite \textit{Y. Farjoun} and \textit{B. Seibold}, J. Eng. Math. 66, No. 1--3, 237--251 (2010; Zbl 1188.76241) Full Text: DOI arXiv
Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K. High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. (English) Zbl 1190.76153 J. Comput. Phys. 229, No. 11, 4033-4058 (2010). MSC: 76M12 76W05 85A30 85A15 85-08 PDFBibTeX XMLCite \textit{F. G. Fuchs} et al., J. Comput. Phys. 229, No. 11, 4033--4058 (2010; Zbl 1190.76153) Full Text: DOI
Farjoun, Yossi; Seibold, Benjamin An exactly conservative particle method for one dimensional scalar conservation laws. (English) Zbl 1168.65383 J. Comput. Phys. 228, No. 14, 5298-5315 (2009). MSC: 65M25 35L65 PDFBibTeX XMLCite \textit{Y. Farjoun} and \textit{B. Seibold}, J. Comput. Phys. 228, No. 14, 5298--5315 (2009; Zbl 1168.65383) Full Text: DOI arXiv