Cai, Chaoyi; Qiu, Jianxian; Wu, Kailiang Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. (English) Zbl 07797648 J. Comput. Phys. 498, Article ID 112669, 36 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{C. Cai} et al., J. Comput. Phys. 498, Article ID 112669, 36 p. (2024; Zbl 07797648) Full Text: DOI arXiv
Wu, Kailiang; Shu, Chi-Wang Geometric quasilinearization framework for analysis and design of bound-preserving schemes. (English) Zbl 1527.65082 SIAM Rev. 65, No. 4, 1031-1073 (2023). MSC: 65M08 65M06 65N08 65M12 35L65 35Q31 35Q35 76N10 76N15 76M12 76M20 PDFBibTeX XMLCite \textit{K. Wu} and \textit{C.-W. Shu}, SIAM Rev. 65, No. 4, 1031--1073 (2023; Zbl 1527.65082) Full Text: DOI arXiv
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. (English) Zbl 1516.65102 SIAM J. Numer. Anal. 61, No. 1, 250-285 (2023). Reviewer: Shuji Yoshikawa (Oita) MSC: 65M60 65M06 65N30 65M12 76W05 76N10 35L65 PDFBibTeX XMLCite \textit{K. Wu} et al., SIAM J. Numer. Anal. 61, No. 1, 250--285 (2023; Zbl 1516.65102) Full Text: DOI arXiv
Wu, Kailiang Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. (English) Zbl 1500.65073 SIAM J. Sci. Comput. 43, No. 6, B1164-B1197 (2021). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M08 65M06 65L06 65N30 65N35 65D32 49M41 65M12 35L65 35L60 76Y05 PDFBibTeX XMLCite \textit{K. Wu}, SIAM J. Sci. Comput. 43, No. 6, B1164--B1197 (2021; Zbl 1500.65073) Full Text: DOI arXiv
Wu, Kailiang; Shu, Chi-Wang Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. (English) Zbl 1480.65271 Numer. Math. 148, No. 3, 699-741 (2021). MSC: 65M60 65M06 65N30 65M12 35L65 76W05 76Y05 76M10 PDFBibTeX XMLCite \textit{K. Wu} and \textit{C.-W. Shu}, Numer. Math. 148, No. 3, 699--741 (2021; Zbl 1480.65271) Full Text: DOI arXiv
Wu, Kailiang; Shu, Chi-Wang Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. (English) Zbl 1419.76446 Numer. Math. 142, No. 4, 995-1047 (2019). MSC: 76M10 76M12 65M60 65M08 65M06 35L65 76W05 PDFBibTeX XMLCite \textit{K. Wu} and \textit{C.-W. Shu}, Numer. Math. 142, No. 4, 995--1047 (2019; Zbl 1419.76446) Full Text: DOI arXiv
Wu, Kailiang; Shu, Chi-Wang A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. (English) Zbl 1404.65184 SIAM J. Sci. Comput. 40, No. 5, B1302-B1329 (2018). MSC: 65M60 35L65 65M08 76W05 76M10 PDFBibTeX XMLCite \textit{K. Wu} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 40, No. 5, B1302--B1329 (2018; Zbl 1404.65184) Full Text: DOI arXiv
Wu, Kailiang; Tang, Huazhong Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations. (English) Zbl 1371.76096 Math. Models Methods Appl. Sci. 27, No. 10, 1871-1928 (2017). MSC: 76M10 76Y05 76W05 65N30 PDFBibTeX XMLCite \textit{K. Wu} and \textit{H. Tang}, Math. Models Methods Appl. Sci. 27, No. 10, 1871--1928 (2017; Zbl 1371.76096) Full Text: DOI arXiv