Liu, Li; Liu, Shengping; Xie, Hui; Xiong, Fansheng; Yu, Tengchao; Xiao, Mengjuan; Liu, Lufeng; Yong, Heng Discontinuity computing using physics-informed neural networks. (English) Zbl 07784056 J. Sci. Comput. 98, No. 1, Paper No. 22, 38 p. (2024). MSC: 65M99 68T07 35L60 76N10 76L05 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Sci. Comput. 98, No. 1, Paper No. 22, 38 p. (2024; Zbl 07784056) Full Text: DOI arXiv
Arun, K. R.; Ghorai, Rahuldev; Kar, Mainak An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit. (English) Zbl 07777029 J. Sci. Comput. 97, No. 3, Paper No. 73, 31 p. (2023). MSC: 65-XX 35L45 35L60 35L65 35L67 65M06 65M08 PDFBibTeX XMLCite \textit{K. R. Arun} et al., J. Sci. Comput. 97, No. 3, Paper No. 73, 31 p. (2023; Zbl 07777029) Full Text: DOI arXiv
Berthon, Christophe; Castro Díaz, Manuel J.; Duran, Arnaud; Morales de Luna, Tomás; Saleh, Khaled Artificial viscosity to get both robustness and discrete entropy inequalities. (English) Zbl 1527.65077 J. Sci. Comput. 97, No. 3, Paper No. 65, 36 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 35D30 76N10 35Q31 PDFBibTeX XMLCite \textit{C. Berthon} et al., J. Sci. Comput. 97, No. 3, Paper No. 65, 36 p. (2023; Zbl 1527.65077) Full Text: DOI
Popov, I. S. Space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell WENO finite-volume limiting for simulation of non-stationary compressible multicomponent reactive flows. (English) Zbl 1524.76223 J. Sci. Comput. 95, No. 2, Paper No. 44, 27 p. (2023). MSC: 76M10 76M12 65M60 65N08 76N30 76V05 76L05 35L67 35Q31 35Q35 35L40 76T99 PDFBibTeX XMLCite \textit{I. S. Popov}, J. Sci. Comput. 95, No. 2, Paper No. 44, 27 p. (2023; Zbl 1524.76223) Full Text: DOI
Li, Peng; Li, Tingting; Don, Wai-Sun; Wang, Bao-Shan Scale-invariant multi-resolution alternative WENO scheme for the Euler equations. (English) Zbl 1504.65239 J. Sci. Comput. 94, No. 1, Paper No. 15, 32 p. (2023). MSC: 65N06 65L06 35L65 76N10 35Q31 86A05 86A10 PDFBibTeX XMLCite \textit{P. Li} et al., J. Sci. Comput. 94, No. 1, Paper No. 15, 32 p. (2023; Zbl 1504.65239) Full Text: DOI
Tominec, Igor; Nazarov, Murtazo Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. (English) Zbl 1504.65226 J. Sci. Comput. 94, No. 1, Paper No. 14, 31 p. (2023). MSC: 65M70 65M60 65D12 65M12 35L65 76L05 76N10 35Q31 PDFBibTeX XMLCite \textit{I. Tominec} and \textit{M. Nazarov}, J. Sci. Comput. 94, No. 1, Paper No. 14, 31 p. (2023; Zbl 1504.65226) Full Text: DOI arXiv
Busto, Saray; Dumbser, Michael A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows. (English) Zbl 1503.65223 J. Sci. Comput. 93, No. 2, Paper No. 56, 40 p. (2022). MSC: 65M60 65L06 65N30 65M12 76F10 76B15 76D05 76N06 76M10 74B20 74S05 80A19 35L02 35Q31 35Q30 35Q79 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, J. Sci. Comput. 93, No. 2, Paper No. 56, 40 p. (2022; Zbl 1503.65223) Full Text: DOI
Fu, Lin; Liang, Tian A new adaptation strategy for multi-resolution method. (English) Zbl 1503.65199 J. Sci. Comput. 93, No. 2, Paper No. 43, 28 p. (2022). MSC: 65M08 65L06 65M06 65N08 65T60 65N50 76B03 76N10 76M12 76M20 35L65 35L67 35Q31 PDFBibTeX XMLCite \textit{L. Fu} and \textit{T. Liang}, J. Sci. Comput. 93, No. 2, Paper No. 43, 28 p. (2022; Zbl 1503.65199) Full Text: DOI
Lukáčová-Medvid’ová, Mária; She, Bangwei; Yuan, Yuhuan Error estimates of the Godunov method for the multidimensional compressible Euler system. (English) Zbl 07545432 J. Sci. Comput. 91, No. 3, Paper No. 71, 27 p. (2022). MSC: 65Mxx 76Nxx 35Lxx PDFBibTeX XMLCite \textit{M. Lukáčová-Medvid'ová} et al., J. Sci. Comput. 91, No. 3, Paper No. 71, 27 p. (2022; Zbl 07545432) Full Text: DOI arXiv
Chan, Jesse; Bencomo, Mario J.; Del Rey Fernández, David C. Mortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes. (English) Zbl 1502.65115 J. Sci. Comput. 89, No. 2, Paper No. 51, 33 p. (2021). MSC: 65M60 65M08 65M06 65N30 65N08 65D30 65M12 35Q31 76N10 76M10 76M12 76M20 PDFBibTeX XMLCite \textit{J. Chan} et al., J. Sci. Comput. 89, No. 2, Paper No. 51, 33 p. (2021; Zbl 1502.65115) Full Text: DOI arXiv
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. (English) Zbl 1501.65047 J. Sci. Comput. 88, No. 1, Paper No. 28, 45 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M60 35L02 35L45 76B15 76F50 76N10 76M10 76M12 35Q31 PDFBibTeX XMLCite \textit{S. Busto} et al., J. Sci. Comput. 88, No. 1, Paper No. 28, 45 p. (2021; Zbl 1501.65047) Full Text: DOI
Chen, Jinqiang; Yu, Peixiang; Ouyang, Hua; Tian, Zhen F. A novel parallel computing strategy for compact difference schemes with consistent accuracy and dispersion. (English) Zbl 1456.65060 J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021). MSC: 65M06 65M15 65Y05 76N06 35Q31 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021; Zbl 1456.65060) Full Text: DOI
Schnücke, Gero; Krais, Nico; Bolemann, Thomas; Gassner, Gregor J. Entropy stable discontinuous Galerkin schemes on moving meshes for hyperbolic conservation laws. (English) Zbl 1437.65142 J. Sci. Comput. 82, No. 3, Paper No. 69, 42 p. (2020). MSC: 65M60 65M70 65N35 65L06 35L65 76N06 35Q31 PDFBibTeX XMLCite \textit{G. Schnücke} et al., J. Sci. Comput. 82, No. 3, Paper No. 69, 42 p. (2020; Zbl 1437.65142) Full Text: DOI arXiv
Ioriatti, Matteo; Dumbser, Michael; Loubère, Raphaël A staggered semi-implicit discontinuous Galerkin scheme with a posteriori subcell finite volume limiter for the Euler equations of gasdynamics. (English) Zbl 1434.76068 J. Sci. Comput. 83, No. 2, Paper No. 27, 58 p. (2020). MSC: 76M10 35Q31 76N10 PDFBibTeX XMLCite \textit{M. Ioriatti} et al., J. Sci. Comput. 83, No. 2, Paper No. 27, 58 p. (2020; Zbl 1434.76068) Full Text: DOI
Bouchut, François; Franck, Emmanuel; Navoret, Laurent A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. (English) Zbl 1434.76078 J. Sci. Comput. 83, No. 1, Paper No. 24, 47 p. (2020). MSC: 76M12 76M45 35Q31 76N10 PDFBibTeX XMLCite \textit{F. Bouchut} et al., J. Sci. Comput. 83, No. 1, Paper No. 24, 47 p. (2020; Zbl 1434.76078) Full Text: DOI HAL
Castro, Manuel J.; Parés, Carlos Well-balanced high-order finite volume methods for systems of balance laws. (English) Zbl 1440.65109 J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020). MSC: 65M08 76M12 76N06 76B15 35Q31 35D30 PDFBibTeX XMLCite \textit{M. J. Castro} and \textit{C. Parés}, J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020; Zbl 1440.65109) Full Text: DOI
Arun, K. R.; Samantaray, S. Asymptotic preserving low Mach number accurate IMEX finite volume schemes for the isentropic Euler equations. (English) Zbl 1434.76077 J. Sci. Comput. 82, No. 2, Paper No. 35, 32 p. (2020). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 76M12 76M20 35Q31 65M06 35L45 35L60 35L65 35L67 65M08 76N10 PDFBibTeX XMLCite \textit{K. R. Arun} and \textit{S. Samantaray}, J. Sci. Comput. 82, No. 2, Paper No. 35, 32 p. (2020; Zbl 1434.76077) Full Text: DOI arXiv
Chan, Jesse Skew-symmetric entropy stable modal discontinuous Galerkin formulations. (English) Zbl 1466.65123 J. Sci. Comput. 81, No. 1, 459-485 (2019). MSC: 65M60 65M12 35L65 PDFBibTeX XMLCite \textit{J. Chan}, J. Sci. Comput. 81, No. 1, 459--485 (2019; Zbl 1466.65123) Full Text: DOI arXiv
Friedrich, Lucas; Schnücke, Gero; Winters, Andrew R.; Fernández, David C. Del Rey; Gassner, Gregor J.; Carpenter, Mark H. Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws. (English) Zbl 1421.35262 J. Sci. Comput. 80, No. 1, 175-222 (2019). MSC: 35Q31 76B15 76N10 65M60 65M70 PDFBibTeX XMLCite \textit{L. Friedrich} et al., J. Sci. Comput. 80, No. 1, 175--222 (2019; Zbl 1421.35262) Full Text: DOI arXiv
Huang, Juntao; Zhao, Weifeng; Shu, Chi-Wang A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows. (English) Zbl 1444.35125 J. Sci. Comput. 79, No. 2, 1015-1056 (2019). MSC: 35Q31 76V05 76M20 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Sci. Comput. 79, No. 2, 1015--1056 (2019; Zbl 1444.35125) Full Text: DOI
Huang, Juntao; Shu, Chi-Wang Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows. (English) Zbl 1420.35190 J. Sci. Comput. 78, No. 3, 1811-1839 (2019). MSC: 35Q30 76V05 76N99 65L06 65M06 PDFBibTeX XMLCite \textit{J. Huang} and \textit{C.-W. Shu}, J. Sci. Comput. 78, No. 3, 1811--1839 (2019; Zbl 1420.35190) Full Text: DOI
Boscarino, S.; Russo, G.; Scandurra, L. All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics. (English) Zbl 1407.65139 J. Sci. Comput. 77, No. 2, 850-884 (2018). MSC: 65M08 35Q31 76N15 65L06 35B40 65M06 76N17 PDFBibTeX XMLCite \textit{S. Boscarino} et al., J. Sci. Comput. 77, No. 2, 850--884 (2018; Zbl 1407.65139) Full Text: DOI arXiv
Ranocha, Hendrik Comparison of some entropy conservative numerical fluxes for the Euler equations. (English) Zbl 1397.65151 J. Sci. Comput. 76, No. 1, 216-242 (2018). MSC: 65M08 65M70 65M60 65M06 65M12 35Q31 76N10 76L05 35L65 PDFBibTeX XMLCite \textit{H. Ranocha}, J. Sci. Comput. 76, No. 1, 216--242 (2018; Zbl 1397.65151) Full Text: DOI arXiv
Moe, Scott A.; Rossmanith, James A.; Seal, David C. Positivity-preserving discontinuous Galerkin methods with Lax-Wendroff time discretizations. (English) Zbl 1462.65152 J. Sci. Comput. 71, No. 1, 44-70 (2017). MSC: 65M60 65M22 65M06 35B09 35L65 35L67 76N06 76M10 35Q31 PDFBibTeX XMLCite \textit{S. A. Moe} et al., J. Sci. Comput. 71, No. 1, 44--70 (2017; Zbl 1462.65152) Full Text: DOI arXiv
Roe, Philip Is discontinuous reconstruction really a good idea? (English) Zbl 1381.65073 J. Sci. Comput. 73, No. 2-3, 1094-1114 (2017). MSC: 65M08 35L65 76N15 65M60 35L05 PDFBibTeX XMLCite \textit{P. Roe}, J. Sci. Comput. 73, No. 2--3, 1094--1114 (2017; Zbl 1381.65073) Full Text: DOI
Hu, Jingwei; Zhang, Xiangxiong On a class of implicit-explicit Runge-Kutta schemes for stiff kinetic equations preserving the Navier-Stokes limit. (English) Zbl 1382.35179 J. Sci. Comput. 73, No. 2-3, 797-818 (2017). MSC: 35Q20 65L06 65L04 35Q30 35Q31 PDFBibTeX XMLCite \textit{J. Hu} and \textit{X. Zhang}, J. Sci. Comput. 73, No. 2--3, 797--818 (2017; Zbl 1382.35179) Full Text: DOI
Barsukow, Wasilij; Edelmann, Philipp V. F.; Klingenberg, Christian; Miczek, Fabian; Röpke, Friedrich K. A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics. (English) Zbl 1459.65166 J. Sci. Comput. 72, No. 2, 623-646 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 76N15 35B40 35Q31 PDFBibTeX XMLCite \textit{W. Barsukow} et al., J. Sci. Comput. 72, No. 2, 623--646 (2017; Zbl 1459.65166) Full Text: DOI arXiv
Ortleb, Sigrun A kinetic energy preserving DG scheme based on Gauss-Legendre points. (English) Zbl 1516.65095 J. Sci. Comput. 71, No. 3, 1135-1168 (2017). MSC: 65M60 65L06 65M08 65N30 35L65 76P05 76Q05 76L05 76N15 76M10 76M12 76M20 35Q31 PDFBibTeX XMLCite \textit{S. Ortleb}, J. Sci. Comput. 71, No. 3, 1135--1168 (2017; Zbl 1516.65095) Full Text: DOI
Chandrashekar, Praveen; Zenk, Markus Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity. (English) Zbl 1462.65180 J. Sci. Comput. 71, No. 3, 1062-1093 (2017). MSC: 65N30 65D32 76B15 76N06 76M10 35Q31 PDFBibTeX XMLCite \textit{P. Chandrashekar} and \textit{M. Zenk}, J. Sci. Comput. 71, No. 3, 1062--1093 (2017; Zbl 1462.65180) Full Text: DOI arXiv
Kaiser, Klaus; Schütz, Jochen; Schöbel, Ruth; Noelle, Sebastian A new stable splitting for the isentropic Euler equations. (English) Zbl 1367.35114 J. Sci. Comput. 70, No. 3, 1390-1407 (2017). MSC: 35Q31 35L65 35B25 76M45 76N99 65M08 PDFBibTeX XMLCite \textit{K. Kaiser} et al., J. Sci. Comput. 70, No. 3, 1390--1407 (2017; Zbl 1367.35114) Full Text: DOI Link
Cai, Xiaofeng; Zhang, Xiangxiong; Qiu, Jianxian Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations. (English) Zbl 1397.76084 J. Sci. Comput. 68, No. 2, 464-483 (2016). MSC: 76M12 65M08 76Nxx 35Q31 PDFBibTeX XMLCite \textit{X. Cai} et al., J. Sci. Comput. 68, No. 2, 464--483 (2016; Zbl 1397.76084) Full Text: DOI
Xiong, Tao; Qiu, Jing-Mei; Xu, Zhengfu Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations. (English) Zbl 1383.76365 J. Sci. Comput. 67, No. 3, 1066-1088 (2016). MSC: 76M20 65M06 65M12 76Nxx 35Q31 PDFBibTeX XMLCite \textit{T. Xiong} et al., J. Sci. Comput. 67, No. 3, 1066--1088 (2016; Zbl 1383.76365) Full Text: DOI arXiv
Jia, Junxiong; Pan, Ronghua On isentropic approximations for compressible Euler equations. (English) Zbl 1330.35305 J. Sci. Comput. 64, No. 3, 745-760 (2015). MSC: 35Q31 35L65 35B65 76N10 PDFBibTeX XMLCite \textit{J. Jia} and \textit{R. Pan}, J. Sci. Comput. 64, No. 3, 745--760 (2015; Zbl 1330.35305) Full Text: DOI
Gerhard, Nils; Iacono, Francesca; May, Georg; Müller, Siegfried; Schäfer, Roland A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows. (English) Zbl 1462.65141 J. Sci. Comput. 62, No. 1, 25-52 (2015). MSC: 65M60 65N30 65L06 65N50 65T60 76N06 35Q31 PDFBibTeX XMLCite \textit{N. Gerhard} et al., J. Sci. Comput. 62, No. 1, 25--52 (2015; Zbl 1462.65141) Full Text: DOI
Zhang, Xiangxiong; Xia, Yinhua; Shu, Chi-Wang Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. (English) Zbl 1247.65131 J. Sci. Comput. 50, No. 1, 29-62 (2012). Reviewer: Petr Sváček (Praha) MSC: 65M60 65M08 65M12 35L65 76N15 76D05 76M10 76M12 35B50 65M50 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Sci. Comput. 50, No. 1, 29--62 (2012; Zbl 1247.65131) Full Text: DOI
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