Vilar, François; Abgrall, Rémi A posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. (English) Zbl 07820564 SIAM J. Sci. Comput. 46, No. 2, A851-A883 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N30 65M06 65L06 65N08 65N12 35L67 35D30 76N15 PDFBibTeX XMLCite \textit{F. Vilar} and \textit{R. Abgrall}, SIAM J. Sci. Comput. 46, No. 2, A851--A883 (2024; Zbl 07820564) Full Text: DOI arXiv
Ding, Shengrong; Wu, Kailiang A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations. (English) Zbl 07790226 SIAM J. Sci. Comput. 46, No. 1, A50-A79 (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 65N08 65M12 35L65 76W05 76N10 76X05 85A30 PDFBibTeX XMLCite \textit{S. Ding} and \textit{K. Wu}, SIAM J. Sci. Comput. 46, No. 1, A50--A79 (2024; Zbl 07790226) Full Text: DOI arXiv
Ainsworth, Mark; Shin, Yeonjong Active neuron least squares: a training method for multivariate rectified neural networks. (English) Zbl 1492.65157 SIAM J. Sci. Comput. 44, No. 4, A2253-A2275 (2022). MSC: 65K05 68T07 90C30 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{Y. Shin}, SIAM J. Sci. Comput. 44, No. 4, A2253--A2275 (2022; Zbl 1492.65157) Full Text: DOI
Paulin, Christina; Llor, Antoine; Vazquez-Gonzalez, Thibaud; Perlat, Jean-Philippe; Heulhard de Montigny, Éric Doubly monotonic constraint on interpolators: bridging second-order to singularity preservation to cancel “numerical wetting” in transport schemes. (English) Zbl 1493.65141 SIAM J. Sci. Comput. 44, No. 3, A1227-A1253 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 65M22 65D05 35L65 35Q49 76T30 PDFBibTeX XMLCite \textit{C. Paulin} et al., SIAM J. Sci. Comput. 44, No. 3, A1227--A1253 (2022; Zbl 1493.65141) Full Text: DOI
Liu, Yong; Lu, Jianfang; Shu, Chi-Wang An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems. (English) Zbl 1484.65226 SIAM J. Sci. Comput. 44, No. 1, A230-A259 (2022). MSC: 65M60 65L06 65N30 35L03 35B05 76N10 35Q31 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Sci. Comput. 44, No. 1, A230--A259 (2022; Zbl 1484.65226) Full Text: DOI
Zheng, Nanyi; Cai, Xiaofeng; Qiu, Jing-Mei; Qiu, Jianxian A conservative semi-Lagrangian hybrid Hermite WENO scheme for linear transport equations and the nonlinear Vlasov-Poisson system. (English) Zbl 1512.65188 SIAM J. Sci. Comput. 43, No. 5, A3580-A3606 (2021). MSC: 65M06 35L65 65M12 35Q83 35Q49 PDFBibTeX XMLCite \textit{N. Zheng} et al., SIAM J. Sci. Comput. 43, No. 5, A3580--A3606 (2021; Zbl 1512.65188) Full Text: DOI
Einkemmer, Lukas; Hu, Jingwei; Ying, Lexing An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime. (English) Zbl 1486.35322 SIAM J. Sci. Comput. 43, No. 5, B1057-B1080 (2021). MSC: 35Q20 35Q30 65L04 65M99 76N06 82C40 PDFBibTeX XMLCite \textit{L. Einkemmer} et al., SIAM J. Sci. Comput. 43, No. 5, B1057--B1080 (2021; Zbl 1486.35322) Full Text: DOI arXiv
Fu, Pei; Kreiss, Gunilla High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension. (English) Zbl 1490.65192 SIAM J. Sci. Comput. 43, No. 4, A2404-A2424 (2021). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M06 65N30 65M12 65M85 35L65 PDFBibTeX XMLCite \textit{P. Fu} and \textit{G. Kreiss}, SIAM J. Sci. Comput. 43, No. 4, A2404--A2424 (2021; Zbl 1490.65192) Full Text: DOI arXiv
Cakir, Firat; Christlieb, Andrew; Jiang, Yan A high order finite difference weighted essentially nonoscillatory schemes with a kernel-based constrained transport method for ideal magnetohydrodynamics. (English) Zbl 1483.65130 SIAM J. Sci. Comput. 43, No. 3, B598-B622 (2021). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M06 35L40 65M99 76L05 76W05 70H20 PDFBibTeX XMLCite \textit{F. Cakir} et al., SIAM J. Sci. Comput. 43, No. 3, B598--B622 (2021; Zbl 1483.65130) Full Text: DOI
Banks, J. W.; Buckner, B. Brett; Hagstrom, T.; Juhnke, K. Discontinuous Galerkin Galerkin differences for the wave equation in second-order form. (English) Zbl 1482.65178 SIAM J. Sci. Comput. 43, No. 2, A1497-A1526 (2021). Reviewer: Thomas Führer (Santiago) MSC: 65M60 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{J. W. Banks} et al., SIAM J. Sci. Comput. 43, No. 2, A1497--A1526 (2021; Zbl 1482.65178) Full Text: DOI
Gu, Haotian; Xin, Jack; Zhang, Zhiwen Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. (English) Zbl 1469.65156 SIAM J. Sci. Comput. 43, No. 1, A636-A662 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M99 65M12 65M15 70H20 76F25 76V05 80A25 35F21 PDFBibTeX XMLCite \textit{H. Gu} et al., SIAM J. Sci. Comput. 43, No. 1, A636--A662 (2021; Zbl 1469.65156) Full Text: DOI arXiv
Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. (English) Zbl 1457.65063 SIAM J. Sci. Comput. 42, No. 6, A3932-A3956 (2020). MSC: 65M06 76M20 65M08 76M12 76N15 76L05 35L65 35Q31 PDFBibTeX XMLCite \textit{B.-S. Wang} et al., SIAM J. Sci. Comput. 42, No. 6, A3932--A3956 (2020; Zbl 1457.65063) Full Text: DOI
Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David An efficient third-order WENO scheme with unconditionally optimal accuracy. (English) Zbl 1434.65106 SIAM J. Sci. Comput. 42, No. 2, A1028-A1051 (2020). MSC: 65M06 PDFBibTeX XMLCite \textit{A. Baeza} et al., SIAM J. Sci. Comput. 42, No. 2, A1028--A1051 (2020; Zbl 1434.65106) Full Text: DOI
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian A discontinuous Galerkin method for stochastic conservation laws. (English) Zbl 07149719 SIAM J. Sci. Comput. 42, No. 1, A54-A86 (2020). MSC: 65C30 60H35 PDFBibTeX XMLCite \textit{Y. Li} et al., SIAM J. Sci. Comput. 42, No. 1, A54--A86 (2020; Zbl 07149719) Full Text: DOI
Banks, Jeffrey W.; Odu, Andre Gianesini; Berger, Richard; Chapman, Thomas; Arrighi, William; Brunner, Stephan High-order accurate conservative finite difference methods for Vlasov equations in 2D+2V. (English) Zbl 1433.65154 SIAM J. Sci. Comput. 41, No. 5, B953-B982 (2019). Reviewer: Denys Dutykh (Chambéry) MSC: 65M06 35Q83 65M20 65L06 65M15 76X05 65Y05 65M08 82M36 PDFBibTeX XMLCite \textit{J. W. Banks} et al., SIAM J. Sci. Comput. 41, No. 5, B953--B982 (2019; Zbl 1433.65154) Full Text: DOI
Pidatella, Rosa Maria; Puppo, Gabriella; Russo, Giovanni; Santagati, Pietro Semi-conservative finite volume schemes for conservation laws. (English) Zbl 1432.76179 SIAM J. Sci. Comput. 41, No. 3, B576-B600 (2019). MSC: 76M12 65M08 35L45 35L65 65M20 76N15 PDFBibTeX XMLCite \textit{R. M. Pidatella} et al., SIAM J. Sci. Comput. 41, No. 3, B576--B600 (2019; Zbl 1432.76179) Full Text: DOI
Friedrich, Jan; Kolb, Oliver Maximum principle satisfying CWENO schemes for nonlocal conservation laws. (English) Zbl 1419.65038 SIAM J. Sci. Comput. 41, No. 2, A973-A988 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 35L65 PDFBibTeX XMLCite \textit{J. Friedrich} and \textit{O. Kolb}, SIAM J. Sci. Comput. 41, No. 2, A973--A988 (2019; Zbl 1419.65038) Full Text: DOI arXiv
Klingenberg, C.; Puppo, G.; Semplice, M. Arbitrary order finite volume well-balanced schemes for the Euler equations with gravity. (English) Zbl 1412.65125 SIAM J. Sci. Comput. 41, No. 2, A695-A721 (2019). MSC: 65M20 65Z05 76N15 65M08 35Q31 PDFBibTeX XMLCite \textit{C. Klingenberg} et al., SIAM J. Sci. Comput. 41, No. 2, A695--A721 (2019; Zbl 1412.65125) Full Text: DOI arXiv
Wang, B. S.; Don, W. S.; Gao, Z.; Wang, Y. H.; Wen, X. Hybrid compact-WENO finite difference scheme with radial basis function based shock detection method for hyperbolic conservation laws. (English) Zbl 1406.65065 SIAM J. Sci. Comput. 40, No. 6, A3699-A3714 (2018). MSC: 65M06 35L65 35L67 35Q31 PDFBibTeX XMLCite \textit{B. S. Wang} et al., SIAM J. Sci. Comput. 40, No. 6, A3699--A3714 (2018; Zbl 1406.65065) Full Text: DOI
Šukys, Jonas; Rasthofer, Ursula; Wermelinger, Fabian; Hadjidoukas, Panagiotis; Koumoutsakos, Petros Multilevel control variates for uncertainty quantification in simulations of cloud cavitation. (English) Zbl 1401.76033 SIAM J. Sci. Comput. 40, No. 5, B1361-B1390 (2018). MSC: 76B10 68W10 65C05 65C60 68M15 PDFBibTeX XMLCite \textit{J. Šukys} et al., SIAM J. Sci. Comput. 40, No. 5, B1361--B1390 (2018; Zbl 1401.76033) Full Text: DOI
Christlieb, Andrew J.; Feng, Xiao; Jiang, Yan; Tang, Qi A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes. (English) Zbl 1394.76077 SIAM J. Sci. Comput. 40, No. 4, A2631-A2666 (2018). MSC: 76M20 35L65 65M06 65M20 76W05 PDFBibTeX XMLCite \textit{A. J. Christlieb} et al., SIAM J. Sci. Comput. 40, No. 4, A2631--A2666 (2018; Zbl 1394.76077) Full Text: DOI arXiv
Zhu, Jun; Qiu, Jianxian New finite volume weighted essentially nonoscillatory schemes on triangular meshes. (English) Zbl 1453.65265 SIAM J. Sci. Comput. 40, No. 2, A903-A928 (2018). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{J. Qiu}, SIAM J. Sci. Comput. 40, No. 2, A903--A928 (2018; Zbl 1453.65265) Full Text: DOI
Qin, Tong; Shu, Chi-Wang Implicit positivity-preserving high-order discontinuous Galerkin methods for conservation laws. (English) Zbl 1380.65285 SIAM J. Sci. Comput. 40, No. 1, A81-A107 (2018). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{T. Qin} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 40, No. 1, A81--A107 (2018; Zbl 1380.65285) Full Text: DOI
Schmidtmann, Birte; Torrilhon, Manuel A hybrid Riemann solver for large hyperbolic systems of conservation laws. (English) Zbl 1379.65070 SIAM J. Sci. Comput. 39, No. 6, A2911-A2934 (2017). MSC: 65M08 35L05 76W05 76M12 PDFBibTeX XMLCite \textit{B. Schmidtmann} and \textit{M. Torrilhon}, SIAM J. Sci. Comput. 39, No. 6, A2911--A2934 (2017; Zbl 1379.65070) Full Text: DOI arXiv
Gopalakrishnan, J.; Schöberl, J.; Wintersteiger, C. Mapped tent pitching schemes for hyperbolic systems. (English) Zbl 1378.65166 SIAM J. Sci. Comput. 39, No. 6, B1043-B1063 (2017). MSC: 65M20 35L40 76N15 76M25 PDFBibTeX XMLCite \textit{J. Gopalakrishnan} et al., SIAM J. Sci. Comput. 39, No. 6, B1043--B1063 (2017; Zbl 1378.65166) Full Text: DOI arXiv
Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. (English) Zbl 1377.65115 SIAM J. Sci. Comput. 39, No. 6, A2564-A2591 (2017). MSC: 65M08 35L60 76N15 76M12 65Y05 PDFBibTeX XMLCite \textit{M. Dumbser} et al., SIAM J. Sci. Comput. 39, No. 6, A2564--A2591 (2017; Zbl 1377.65115) Full Text: DOI arXiv
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C. On a power WENO scheme with improved accuracy near discontinuities. (English) Zbl 1377.65099 SIAM J. Sci. Comput. 39, No. 6, A2472-A2507 (2017). MSC: 65M06 65N06 PDFBibTeX XMLCite \textit{S. Amat} et al., SIAM J. Sci. Comput. 39, No. 6, A2472--A2507 (2017; Zbl 1377.65099) Full Text: DOI
Liu, Hao; Yao, Zhigang; Leung, Shingyu; Chan, Tony F. A level set based variational principal flow method for nonparametric dimension reduction on Riemannian manifolds. (English) Zbl 1379.65041 SIAM J. Sci. Comput. 39, No. 4, A1616-A1646 (2017). MSC: 65K10 62H25 49J20 49J53 PDFBibTeX XMLCite \textit{H. Liu} et al., SIAM J. Sci. Comput. 39, No. 4, A1616--A1646 (2017; Zbl 1379.65041) Full Text: DOI
Zhu, Jun; Qiu, Jianxian A new type of modified WENO schemes for solving hyperbolic conservation laws. (English) Zbl 1366.65081 SIAM J. Sci. Comput. 39, No. 3, A1089-A1113 (2017). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{J. Qiu}, SIAM J. Sci. Comput. 39, No. 3, A1089--A1113 (2017; Zbl 1366.65081) Full Text: DOI
Kurganov, Alexander; Prugger, Martina; Wu, Tong Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. (English) Zbl 1364.76117 SIAM J. Sci. Comput. 39, No. 3, A947-A965 (2017). MSC: 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} et al., SIAM J. Sci. Comput. 39, No. 3, A947--A965 (2017; Zbl 1364.76117) Full Text: DOI
Li, Maojun; Li, Fengyan; Li, Zhen; Xu, Liwei Maximum-principle-satisfying and positivity-preserving high order central discontinuous Galerkin methods for hyperbolic conservation laws. (English) Zbl 1355.65134 SIAM J. Sci. Comput. 38, No. 6, A3720-A3740 (2016). MSC: 65M60 35L65 35B50 76N15 PDFBibTeX XMLCite \textit{M. Li} et al., SIAM J. Sci. Comput. 38, No. 6, A3720--A3740 (2016; Zbl 1355.65134) Full Text: DOI
Du, Jie; Shu, Chi-Wang A high order stable conservative method for solving hyperbolic conservation laws on arbitrarily distributed point clouds. (English) Zbl 1351.65075 SIAM J. Sci. Comput. 38, No. 5, A3094-A3128 (2016). MSC: 65M60 65M50 35L65 76N15 76M10 PDFBibTeX XMLCite \textit{J. Du} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 38, No. 5, A3094--A3128 (2016; Zbl 1351.65075) Full Text: DOI
Li, Jiequan; Du, Zhifang A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solvers. I: Hyperbolic conservation laws. (English) Zbl 1395.65040 SIAM J. Sci. Comput. 38, No. 5, A3046-A3069 (2016). MSC: 65M08 76M12 35L60 35L65 76N15 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Du}, SIAM J. Sci. Comput. 38, No. 5, A3046--A3069 (2016; Zbl 1395.65040) Full Text: DOI arXiv
Ha, Youngsoo; Kim, Chang Ho; Yang, Hyoseon; Yoon, Jungho Sixth-order weighted essentially nonoscillatory schemes based on exponential polynomials. (English) Zbl 1382.65342 SIAM J. Sci. Comput. 38, No. 4, A1987-A2017 (2016). MSC: 65M70 65M12 41A10 42C05 PDFBibTeX XMLCite \textit{Y. Ha} et al., SIAM J. Sci. Comput. 38, No. 4, A1987--A2017 (2016; Zbl 1382.65342) Full Text: DOI
Ghosh, Debojyoti; Constantinescu, Emil M. Semi-implicit time integration of atmospheric flows with characteristic-based flux partitioning. (English) Zbl 1419.76478 SIAM J. Sci. Comput. 38, No. 3, A1848-A1875 (2016). MSC: 76M20 76N15 65M06 86A10 PDFBibTeX XMLCite \textit{D. Ghosh} and \textit{E. M. Constantinescu}, SIAM J. Sci. Comput. 38, No. 3, A1848--A1875 (2016; Zbl 1419.76478) Full Text: DOI arXiv
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. (English) Zbl 1407.65104 SIAM J. Sci. Comput. 38, No. 2, A1195-A1223 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65N06 35F21 PDFBibTeX XMLCite \textit{R. Glowinski} et al., SIAM J. Sci. Comput. 38, No. 2, A1195--A1223 (2016; Zbl 1407.65104) Full Text: DOI
Don, Wai-Sun; Gao, Zhen; Li, Peng; Wen, Xiao Hybrid compact-WENO finite difference scheme with conjugate Fourier shock detection algorithm for hyperbolic conservation laws. (English) Zbl 1382.65241 SIAM J. Sci. Comput. 38, No. 2, A691-A711 (2016). MSC: 65M06 65P30 35L65 35L67 PDFBibTeX XMLCite \textit{W.-S. Don} et al., SIAM J. Sci. Comput. 38, No. 2, A691--A711 (2016; Zbl 1382.65241) Full Text: DOI
Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations. (English) Zbl 1329.76225 SIAM J. Sci. Comput. 37, No. 4, A1825-A1845 (2015). MSC: 76M20 65M06 35L65 35Q35 65M20 76W05 PDFBibTeX XMLCite \textit{A. J. Christlieb} et al., SIAM J. Sci. Comput. 37, No. 4, A1825--A1845 (2015; Zbl 1329.76225) Full Text: DOI arXiv
Ghosh, Debojyoti; Constantinescu, Emil M.; Brown, Jed Efficient implementation of nonlinear compact schemes on massively parallel platforms. (English) Zbl 1320.65115 SIAM J. Sci. Comput. 37, No. 3, C354-C383 (2015). MSC: 65M06 65Y05 76M20 76N99 PDFBibTeX XMLCite \textit{D. Ghosh} et al., SIAM J. Sci. Comput. 37, No. 3, C354--C383 (2015; Zbl 1320.65115) Full Text: DOI Link
Xiong, Tao; Qiu, Jing-Mei; Xu, Zhengfu High order maximum-principle-preserving discontinuous Galerkin method for convection-diffusion equations. (English) Zbl 1320.65145 SIAM J. Sci. Comput. 37, No. 2, A583-A608 (2015). MSC: 65M60 PDFBibTeX XMLCite \textit{T. Xiong} et al., SIAM J. Sci. Comput. 37, No. 2, A583--A608 (2015; Zbl 1320.65145) Full Text: DOI arXiv
Bürger, Raimund; Mulet, Pep; Villada, Luis M. Regularized nonlinear solvers for IMEX methods applied to diffusively corrected multispecies kinematic flow models. (English) Zbl 1426.76459 SIAM J. Sci. Comput. 35, No. 3, B751-B777 (2013). MSC: 76M20 76R99 76T20 PDFBibTeX XMLCite \textit{R. Bürger} et al., SIAM J. Sci. Comput. 35, No. 3, B751--B777 (2013; Zbl 1426.76459) Full Text: DOI Link