Ren, Yupeng; Wu, Kailiang; Qiu, Jianxian; Xing, Yulong On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation. (English) Zbl 07742912 J. Comput. Phys. 492, Article ID 112429, 33 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{Y. Ren} et al., J. Comput. Phys. 492, Article ID 112429, 33 p. (2023; Zbl 07742912) Full Text: DOI
Zhang, Weijie; Xing, Yulong; Xia, Yinhua; Xu, Yan High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields. (English) Zbl 07741342 Comput. Math. Appl. 146, 339-359 (2023). MSC: 35Q31 35L65 65M60 76M10 76M12 65M08 PDFBibTeX XMLCite \textit{W. Zhang} et al., Comput. Math. Appl. 146, 339--359 (2023; Zbl 07741342) Full Text: DOI
Ye, Boyang; Jin, Shi; Xing, Yulong; Zhong, Xinghui Hamiltonian-preserving discontinuous Galerkin methods for the Liouville equation with discontinuous potential. (English) Zbl 1501.65078 SIAM J. Sci. Comput. 44, No. 5, A3317-A3340 (2022). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M06 65L06 65N30 35L45 70H99 35B09 35B53 PDFBibTeX XMLCite \textit{B. Ye} et al., SIAM J. Sci. Comput. 44, No. 5, A3317--A3340 (2022; Zbl 1501.65078) Full Text: DOI
Zhang, Weijie; Xing, Yulong; Xia, Yinhua; Xu, Yan High-order positivity-preserving well-balanced discontinuous Galerkin methods for Euler equations with gravitation on unstructured meshes. (English) Zbl 1482.65191 Commun. Comput. Phys. 31, No. 3, 771-815 (2022). MSC: 65M60 35L60 35L65 65M12 PDFBibTeX XMLCite \textit{W. Zhang} et al., Commun. Comput. Phys. 31, No. 3, 771--815 (2022; Zbl 1482.65191) Full Text: DOI
Wu, Kailiang; Xing, Yulong Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: positivity and well-balancedness. (English) Zbl 1466.65150 SIAM J. Sci. Comput. 43, No. 1, A472-A510 (2021). MSC: 65M60 65M20 65N30 65M12 35L60 35L65 76N06 35Q31 PDFBibTeX XMLCite \textit{K. Wu} and \textit{Y. Xing}, SIAM J. Sci. Comput. 43, No. 1, A472--A510 (2021; Zbl 1466.65150) Full Text: DOI arXiv
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. (English) Zbl 1445.76055 J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020). MSC: 76M12 76M20 76B15 86-08 PDFBibTeX XMLCite \textit{X. Wen} et al., J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020; Zbl 1445.76055) Full Text: DOI
Xing, Y. Numerical methods for the nonlinear shallow water equations. (English) Zbl 1366.76066 Abgrall, Rémi (ed.) et al., Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). Handbook of Numerical Analysis 18, 361-384 (2017). MSC: 76M20 76M12 76M10 65N06 65N08 65N30 PDFBibTeX XMLCite \textit{Y. Xing}, Handb. Numer. Anal. 18, 361--384 (2017; Zbl 1366.76066) Full Text: DOI
Wen, Xiao; Gao, Zhen; Don, Wai Sun; Xing, Yulong; Li, Peng Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology. (English) Zbl 1390.76368 Comput. Fluids 139, 112-119 (2016). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{X. Wen} et al., Comput. Fluids 139, 112--119 (2016; Zbl 1390.76368) Full Text: DOI
Xing, Yulong High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry. (English) Zbl 1382.76190 J. Comput. Appl. Math. 299, 229-244 (2016). MSC: 76M12 65M08 76B15 PDFBibTeX XMLCite \textit{Y. Xing}, J. Comput. Appl. Math. 299, 229--244 (2016; Zbl 1382.76190) Full Text: DOI
Xing, Yulong Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium. (English) Zbl 1349.76289 J. Comput. Phys. 257, Part A, 536-553 (2014). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{Y. Xing}, J. Comput. Phys. 257, Part A, 536--553 (2014; Zbl 1349.76289) Full Text: DOI
Xing, Yulong; Zhang, Xiangxiong Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. (English) Zbl 1282.76134 J. Sci. Comput. 57, No. 1, 19-41 (2013). MSC: 76M12 76M10 PDFBibTeX XMLCite \textit{Y. Xing} and \textit{X. Zhang}, J. Sci. Comput. 57, No. 1, 19--41 (2013; Zbl 1282.76134) Full Text: DOI Link