Kivva, Sergii Entropy stable flux correction for hydrostatic reconstruction scheme for shallow water flows. (English) Zbl 07812555 J. Sci. Comput. 99, No. 1, Paper No. 1, 41 p. (2024). MSC: 65M08 65M06 65N08 65M22 76B15 76M12 76M20 49M41 90C05 35Q35 PDFBibTeX XMLCite \textit{S. Kivva}, J. Sci. Comput. 99, No. 1, Paper No. 1, 41 p. (2024; Zbl 07812555) Full Text: DOI arXiv
Zhai, Mengqing; Zheng, Supei; Zhang, Chengzhi; Jian, Mangmang A new S-M limiter entropy stable scheme based on moving mesh method for ideal MHD and SWMHD equations. (English) Zbl 07812552 J. Sci. Comput. 98, No. 3, Paper No. 68, 38 p. (2024). MSC: 65M08 65M06 65L06 65N08 65M50 65F10 65M12 76W05 76B03 76B15 76B47 76L05 35B05 35Q35 PDFBibTeX XMLCite \textit{M. Zhai} et al., J. Sci. Comput. 98, No. 3, Paper No. 68, 38 p. (2024; Zbl 07812552) Full Text: DOI
Ersing, Patrick; Winters, Andrew R. An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. (English) Zbl 07807895 J. Sci. Comput. 98, No. 3, Paper No. 62, 35 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M70 65M60 65M06 65L06 65N35 65N30 65D32 65M12 76B15 76T06 86A05 76M22 35L50 35Q30 PDFBibTeX XMLCite \textit{P. Ersing} and \textit{A. R. Winters}, J. Sci. Comput. 98, No. 3, Paper No. 62, 35 p. (2024; Zbl 07807895) Full Text: DOI arXiv OA License
Kovács, Endre; Majár, János; Saleh, Mahmoud Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations. (English) Zbl 07788961 J. Sci. Comput. 98, No. 2, Paper No. 39, 39 p. (2024). MSC: 65M20 65L04 65L06 35K57 35K05 35Q79 92C20 35Q92 PDFBibTeX XMLCite \textit{E. Kovács} et al., J. Sci. Comput. 98, No. 2, Paper No. 39, 39 p. (2024; Zbl 07788961) Full Text: DOI
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
Liu, M.; Dong, J.; Li, Z.; Li, D. F. A modified high-resolution non-staggered central scheme with adjustable numerical dissipation. (English) Zbl 07751609 J. Sci. Comput. 97, No. 2, Paper No. 28, 41 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{M. Liu} et al., J. Sci. Comput. 97, No. 2, Paper No. 28, 41 p. (2023; Zbl 07751609) Full Text: DOI
Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model. (English) Zbl 1522.65165 J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023). MSC: 65M60 65M06 65N30 35B09 35B44 35R09 92C17 92C15 35Q92 92-08 PDFBibTeX XMLCite \textit{D. Acosta-Soba} et al., J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023; Zbl 1522.65165) Full Text: DOI arXiv OA License
Kurganov, Alexander; Xin, Ruixiao New low-dissipation central-upwind schemes. (English) Zbl 1522.76048 J. Sci. Comput. 96, No. 2, Paper No. 56, 33 p. (2023). Reviewer: Noureddine Daili (Sétif) MSC: 76M12 76N15 65M08 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{R. Xin}, J. Sci. Comput. 96, No. 2, Paper No. 56, 33 p. (2023; Zbl 1522.76048) Full Text: DOI
Ciallella, Mirco; Torlo, Davide; Ricchiuto, Mario Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation. (English) Zbl 07708330 J. Sci. Comput. 96, No. 2, Paper No. 53, 28 p. (2023). MSC: 65Mxx 76Mxx 76Bxx PDFBibTeX XMLCite \textit{M. Ciallella} et al., J. Sci. Comput. 96, No. 2, Paper No. 53, 28 p. (2023; Zbl 07708330) Full Text: DOI arXiv
Sebastiano, Boscarino High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. (English) Zbl 07708312 J. Sci. Comput. 96, No. 1, Paper No. 11, 31 p. (2023). MSC: 65-XX 35G25 65M06 65M20 65L05 65L06 PDFBibTeX XMLCite \textit{B. Sebastiano}, J. Sci. Comput. 96, No. 1, Paper No. 11, 31 p. (2023; Zbl 07708312) Full Text: DOI
Zhang, Jiahui; Xia, Yinhua; Xu, Yan Moving water equilibria preserving discontinuous Galerkin method for the shallow water equations. (English) Zbl 07698922 J. Sci. Comput. 95, No. 2, Paper No. 48, 21 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Sci. Comput. 95, No. 2, Paper No. 48, 21 p. (2023; Zbl 07698922) Full Text: DOI
Tang, Yangyang; Zou, Guang-an; Li, Jian Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system. (English) Zbl 1517.35185 J. Sci. Comput. 95, No. 1, Paper No. 1, 34 p. (2023). MSC: 35Q35 35Q92 76D05 92C17 65M60 65M06 65N30 65M12 65M15 76M10 76M20 92-08 PDFBibTeX XMLCite \textit{Y. Tang} et al., J. Sci. Comput. 95, No. 1, Paper No. 1, 34 p. (2023; Zbl 1517.35185) Full Text: DOI
Chen, Xi; Kurganov, Alexander; Liu, Yongle Flux globalization based well-balanced central-upwind schemes for hydrodynamic equations with general free energy. (English) Zbl 1519.76167 J. Sci. Comput. 95, No. 3, Paper No. 95, 38 p. (2023). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Sci. Comput. 95, No. 3, Paper No. 95, 38 p. (2023; Zbl 1519.76167) Full Text: DOI
Baker, Justin; Cherkaev, Elena; Narayan, Akil; Wang, Bao Learning proper orthogonal decomposition of complex dynamics using heavy-ball neural ODEs. (English) Zbl 1515.65255 J. Sci. Comput. 95, No. 2, Paper No. 54, 27 p. (2023). MSC: 65M70 65P99 68T07 PDFBibTeX XMLCite \textit{J. Baker} et al., J. Sci. Comput. 95, No. 2, Paper No. 54, 27 p. (2023; Zbl 1515.65255) Full Text: DOI arXiv
Li, Yue; Fu, Lin; Adams, Nikolaus A. A family of fast multi-resolution ENO schemes for compressible flows. (English) Zbl 07682616 J. Sci. Comput. 94, No. 2, Paper No. 44, 39 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{Y. Li} et al., J. Sci. Comput. 94, No. 2, Paper No. 44, 39 p. (2023; Zbl 07682616) 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
Wang, Yinghua; Wang, Bao-Shan; Ling, Leevan; Don, Wai Sun A time-continuous embedding method for scalar hyperbolic conservation laws on manifolds. (English) Zbl 1504.65187 J. Sci. Comput. 93, No. 3, Paper No. 84, 26 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65L06 65N08 65D05 35L65 35L67 76P05 76M12 35Q35 35Q53 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 93, No. 3, Paper No. 84, 26 p. (2022; Zbl 1504.65187) Full Text: DOI
Zhu, Jun; Qiu, Jianxian A finite difference mapped WENO scheme with unequal-size stencils for hyperbolic conservation laws. (English) Zbl 1503.65195 J. Sci. Comput. 93, No. 3, Paper No. 72, 29 p. (2022). MSC: 65M06 65L06 65N06 65M12 65M15 35L65 35Q31 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{J. Qiu}, J. Sci. Comput. 93, No. 3, Paper No. 72, 29 p. (2022; Zbl 1503.65195) Full Text: DOI
Abedian, Rooholah; Dehghan, Mehdi A RBF-WENO finite difference scheme for non-linear degenerate parabolic equations. (English) Zbl 1504.65165 J. Sci. Comput. 93, No. 3, Paper No. 60, 29 p. (2022). MSC: 65M06 65D12 41A58 65M15 35K65 76S05 76T06 35Q35 PDFBibTeX XMLCite \textit{R. Abedian} and \textit{M. Dehghan}, J. Sci. Comput. 93, No. 3, Paper No. 60, 29 p. (2022; Zbl 1504.65165) 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
Qian, Xu; Dong, Jian; Song, Songhe Positivity-preserving and well-balanced adaptive surface reconstruction schemes for shallow water equations with wet-dry fronts. (English) Zbl 1497.76059 J. Sci. Comput. 92, No. 3, Paper No. 111, 39 p. (2022). MSC: 76M12 76B10 PDFBibTeX XMLCite \textit{X. Qian} et al., J. Sci. Comput. 92, No. 3, Paper No. 111, 39 p. (2022; Zbl 1497.76059) Full Text: DOI
De Luna, Manuel Quezada; Ketcheson, David I. Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations. (English) Zbl 1503.65198 J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 65N08 65M12 35L65 76R50 76M12 76M20 PDFBibTeX XMLCite \textit{M. Q. De Luna} and \textit{D. I. Ketcheson}, J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022; Zbl 1503.65198) Full Text: DOI arXiv
Gong, Wei; Li, Buyang; Yang, Huanhuan Optimal control in a bounded domain for wave propagating in the whole space: coupling through boundary integral equations. (English) Zbl 1502.65120 J. Sci. Comput. 92, No. 3, Paper No. 91, 52 p. (2022). MSC: 65M60 65M06 65N30 65N38 65R20 65D30 65M12 65M15 49M41 35B65 35A15 35A01 35A02 PDFBibTeX XMLCite \textit{W. Gong} et al., J. Sci. Comput. 92, No. 3, Paper No. 91, 52 p. (2022; Zbl 1502.65120) Full Text: DOI
Fu, Guosheng A high-order velocity-based discontinuous Galerkin scheme for the shallow water equations: local conservation, entropy stability, well-balanced property, and positivity preservation. (English) Zbl 1495.65211 J. Sci. Comput. 92, No. 3, Paper No. 86, 33 p. (2022). MSC: 65N30 65N12 76S05 76D07 PDFBibTeX XMLCite \textit{G. Fu}, J. Sci. Comput. 92, No. 3, Paper No. 86, 33 p. (2022; Zbl 1495.65211) Full Text: DOI arXiv
Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models. (English) Zbl 1492.76083 J. Sci. Comput. 92, No. 2, Paper No. 69, 31 p. (2022). MSC: 76M12 65M08 86-08 35L65 35L67 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Sci. Comput. 92, No. 2, Paper No. 69, 31 p. (2022; Zbl 1492.76083) Full Text: DOI
Huang, Xin; Li, Dongfang; Sun, Hai-Wei; Zhang, Fan Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations. (English) Zbl 1492.65238 J. Sci. Comput. 92, No. 2, Paper No. 41, 25 p. (2022). MSC: 65M06 35R11 15B05 65F08 65F10 PDFBibTeX XMLCite \textit{X. Huang} et al., J. Sci. Comput. 92, No. 2, Paper No. 41, 25 p. (2022; Zbl 1492.65238) Full Text: DOI
Schneider, Kleiton A.; Gallardo, José M.; Escalante, Cipriano Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas. (English) Zbl 1492.76086 J. Sci. Comput. 92, No. 2, Paper No. 30, 42 p. (2022). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{K. A. Schneider} et al., J. Sci. Comput. 92, No. 2, Paper No. 30, 42 p. (2022; Zbl 1492.76086) Full Text: DOI
Kuzmin, Dmitri; Quezada de Luna, Manuel; Ketcheson, David I.; Grüll, Johanna Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws. (English) Zbl 07488731 J. Sci. Comput. 91, No. 1, Paper No. 21, 34 p. (2022). MSC: 65Mxx 35Lxx 65Lxx PDFBibTeX XMLCite \textit{D. Kuzmin} et al., J. Sci. Comput. 91, No. 1, Paper No. 21, 34 p. (2022; Zbl 07488731) Full Text: DOI arXiv
Kivva, Sergii Entropy stable flux correction for scalar hyperbolic conservation laws. (English) Zbl 1486.65110 J. Sci. Comput. 91, No. 1, Paper No. 10, 21 p. (2022). MSC: 65M06 49J20 49M41 35L65 PDFBibTeX XMLCite \textit{S. Kivva}, J. Sci. Comput. 91, No. 1, Paper No. 10, 21 p. (2022; Zbl 1486.65110) Full Text: DOI arXiv
Boscheri, Walter; Tavelli, Maurizio; Pareschi, Lorenzo On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs. (English) Zbl 1487.65112 J. Sci. Comput. 90, No. 3, Paper No. 97, 46 p. (2022). MSC: 65M06 65L06 65M08 65M22 65M12 76M20 PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Sci. Comput. 90, No. 3, Paper No. 97, 46 p. (2022; Zbl 1487.65112) Full Text: DOI arXiv
Li, Dong; Quan, Chaoyu The operator-splitting method for Cahn-Hilliard is stable. (English) Zbl 07454945 J. Sci. Comput. 90, No. 1, Paper No. 62, 12 p. (2022). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{D. Li} and \textit{C. Quan}, J. Sci. Comput. 90, No. 1, Paper No. 62, 12 p. (2022; Zbl 07454945) Full Text: DOI arXiv
Diaz-Adame, R.; Jerez, S.; Carrillo, H. Fast and optimal WENO schemes for degenerate parabolic conservation laws. (English) Zbl 1481.65126 J. Sci. Comput. 90, No. 1, Paper No. 22, 28 p. (2022). MSC: 65M06 65N06 35K55 35K65 76R50 35Q35 PDFBibTeX XMLCite \textit{R. Diaz-Adame} et al., J. Sci. Comput. 90, No. 1, Paper No. 22, 28 p. (2022; Zbl 1481.65126) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. (English) Zbl 1492.76084 J. Sci. Comput. 90, No. 1, Paper No. 9, 21 p. (2022). MSC: 76M12 65M08 86-08 35L65 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 90, No. 1, Paper No. 9, 21 p. (2022; Zbl 1492.76084) Full Text: DOI
Sánchez, Cipriano Escalante; Fernández-Nieto, Enrique D.; Morales de Luna, Tomás; Penel, Yohan; Sainte-Marie, Jacques Numerical simulations of a dispersive model approximating free-surface Euler equations. (English) Zbl 1502.65140 J. Sci. Comput. 89, No. 3, Paper No. 55, 35 p. (2021). MSC: 65M60 76B15 76B70 86A05 76M10 35Q31 35R35 PDFBibTeX XMLCite \textit{C. E. Sánchez} et al., J. Sci. Comput. 89, No. 3, Paper No. 55, 35 p. (2021; Zbl 1502.65140) Full Text: DOI
Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. (English) Zbl 1493.76068 J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021). Reviewer: Mária Lukáčová (Mainz) MSC: 76M12 76M20 76M99 76N15 76T99 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021; Zbl 1493.76068) Full Text: DOI
Prieto-Arranz, Alberto; Ramírez, Luis; Couceiro, Iván; Colominas, Ignasi; Nogueira, Xesús A well-balanced SPH-ALE scheme for shallow water applications. (English) Zbl 1480.76091 J. Sci. Comput. 88, No. 3, Paper No. 84, 29 p. (2021). MSC: 76M28 76B15 86A05 PDFBibTeX XMLCite \textit{A. Prieto-Arranz} et al., J. Sci. Comput. 88, No. 3, Paper No. 84, 29 p. (2021; Zbl 1480.76091) Full Text: DOI
Zhang, Weijie; Xia, Yinhua; Xu, Yan Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations. (English) Zbl 1500.65078 J. Sci. Comput. 88, No. 3, Paper No. 57, 43 p. (2021). MSC: 65M60 65L06 65N30 35L65 76B15 76M10 35Q35 PDFBibTeX XMLCite \textit{W. Zhang} et al., J. Sci. Comput. 88, No. 3, Paper No. 57, 43 p. (2021; Zbl 1500.65078) Full Text: DOI
Jiang, Yan High order finite difference multi-resolution WENO method for nonlinear degenerate parabolic equations. (English) Zbl 1465.76068 J. Sci. Comput. 86, No. 1, Paper No. 16, 20 p. (2021). MSC: 76M20 76S05 PDFBibTeX XMLCite \textit{Y. Jiang}, J. Sci. Comput. 86, No. 1, Paper No. 16, 20 p. (2021; Zbl 1465.76068) Full Text: DOI
Carrillo, H.; Parés, C.; Zorío, D. Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. (English) Zbl 1475.65065 J. Sci. Comput. 86, No. 1, Paper No. 15, 41 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 35L02 65L06 PDFBibTeX XMLCite \textit{H. Carrillo} et al., J. Sci. Comput. 86, No. 1, Paper No. 15, 41 p. (2021; Zbl 1475.65065) Full Text: DOI arXiv
Zhou, Guanyu An analysis on the finite volume schemes and the discrete Lyapunov inequalities for the chemotaxis system. (English) Zbl 1473.65152 J. Sci. Comput. 87, No. 2, Paper No. 54, 47 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M15 65M12 35B09 35K55 92C17 35Q92 PDFBibTeX XMLCite \textit{G. Zhou}, J. Sci. Comput. 87, No. 2, Paper No. 54, 47 p. (2021; Zbl 1473.65152) Full Text: DOI
Zhu, Xiaozhi; Zhang, Yong-Tao Fast sparse grid simulations of fifth order WENO scheme for high dimensional hyperbolic PDEs. (English) Zbl 1473.65131 J. Sci. Comput. 87, No. 2, Paper No. 44, 38 p. (2021). MSC: 65M06 65M12 35L25 35Q83 PDFBibTeX XMLCite \textit{X. Zhu} and \textit{Y.-T. Zhang}, J. Sci. Comput. 87, No. 2, Paper No. 44, 38 p. (2021; Zbl 1473.65131) Full Text: DOI arXiv
Fu, Guosheng; Lehrenfeld, Christoph; Linke, Alexander; Streckenbach, Timo Locking-free and gradient-robust \(H(\operatorname{div})\)-conforming HDG methods for linear elasticity. (English) Zbl 1460.65146 J. Sci. Comput. 86, No. 3, Paper No. 39, 31 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 74B10 35Q74 PDFBibTeX XMLCite \textit{G. Fu} et al., J. Sci. Comput. 86, No. 3, Paper No. 39, 31 p. (2021; Zbl 1460.65146) Full Text: DOI arXiv
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian Stability and error estimate of the operator splitting method for the phase field crystal equation. (English) Zbl 1456.65136 J. Sci. Comput. 86, No. 1, Paper No. 8, 23 p. (2021). MSC: 65M70 65T50 65M12 35K57 35R11 74N05 35Q74 82D80 PDFBibTeX XMLCite \textit{S. Zhai} et al., J. Sci. Comput. 86, No. 1, Paper No. 8, 23 p. (2021; Zbl 1456.65136) Full Text: DOI
Liu, Xin A well-balanced and positivity-preserving numerical model for shallow water flows in channels with wet-dry fronts. (English) Zbl 1456.65085 J. Sci. Comput. 85, No. 3, Paper No. 60, 22 p. (2020). MSC: 65M08 65M12 35L45 PDFBibTeX XMLCite \textit{X. Liu}, J. Sci. Comput. 85, No. 3, Paper No. 60, 22 p. (2020; Zbl 1456.65085) Full Text: DOI
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
Escalante, C.; Morales de Luna, Tomás A general non-hydrostatic hyperbolic formulation for Boussinesq dispersive shallow flows and its numerical approximation. (English) Zbl 1435.76015 J. Sci. Comput. 83, No. 3, Paper No. 62, 37 p. (2020). Reviewer: Zhihua Zhang (Beijing) MSC: 76B15 76M12 PDFBibTeX XMLCite \textit{C. Escalante} and \textit{T. Morales de Luna}, J. Sci. Comput. 83, No. 3, Paper No. 62, 37 p. (2020; Zbl 1435.76015) Full Text: DOI HAL
Hesthaven, Jan S.; Mönkeberg, Fabian Two-dimensional RBF-ENO method on unstructured grids. (English) Zbl 1437.65118 J. Sci. Comput. 82, No. 3, Paper No. 76, 24 p. (2020). MSC: 65M08 35L65 65D05 65M12 35Q31 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{F. Mönkeberg}, J. Sci. Comput. 82, No. 3, Paper No. 76, 24 p. (2020; Zbl 1437.65118) Full Text: DOI
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
Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon Kernel based high order “explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. (English) Zbl 1472.65107 J. Sci. Comput. 82, No. 3, Paper No. 52, 29 p. (2020). Reviewer: Marianne Bessemoulin-Chatard (Nantes) MSC: 65M20 65L06 65M06 35K55 35K65 76S05 35Q35 PDFBibTeX XMLCite \textit{A. Christlieb} et al., J. Sci. Comput. 82, No. 3, Paper No. 52, 29 p. (2020; Zbl 1472.65107) Full Text: DOI arXiv
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
Britton, Jolene; Xing, Yulong High order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa model. (English) Zbl 1448.35386 J. Sci. Comput. 82, No. 2, Paper No. 30, 37 p. (2020). MSC: 35Q35 65M60 PDFBibTeX XMLCite \textit{J. Britton} and \textit{Y. Xing}, J. Sci. Comput. 82, No. 2, Paper No. 30, 37 p. (2020; Zbl 1448.35386) Full Text: DOI
Du, Huijing; Liu, Yingjie; Liu, Yuan; Xu, Zhiliang Well-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes. (English) Zbl 07161443 J. Sci. Comput. 81, No. 3, 2115-2131 (2019). MSC: 65Dxx 65Fxx 65Lxx 65Gxx 65Hxx PDFBibTeX XMLCite \textit{H. Du} et al., J. Sci. Comput. 81, No. 3, 2115--2131 (2019; Zbl 07161443) Full Text: DOI
Liu, Shengping; Shen, Yiqing Discontinuity-detecting method for a four-point stencil and its application to develop a third-order hybrid-WENO scheme. (English) Zbl 1448.65111 J. Sci. Comput. 81, No. 3, 1732-1766 (2019). MSC: 65M06 35L67 65M12 PDFBibTeX XMLCite \textit{S. Liu} and \textit{Y. Shen}, J. Sci. Comput. 81, No. 3, 1732--1766 (2019; Zbl 1448.65111) Full Text: DOI Link
Wang, Yinghua; Wang, Bao-Shan; Don, Wai Sun Generalized sensitivity parameter free fifth order WENO finite difference scheme with Z-type weights. (English) Zbl 07161413 J. Sci. Comput. 81, No. 3, 1329-1358 (2019). MSC: 65P30 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 81, No. 3, 1329--1358 (2019; Zbl 07161413) Full Text: DOI
Liu, Xin; Chertock, Alina; Kurganov, Alexander; Wolfkill, Karlan One-dimensional/two-dimensional coupling approach with quadrilateral confluence region for modeling river systems. (English) Zbl 1429.86003 J. Sci. Comput. 81, No. 3, 1297-1328 (2019). MSC: 86A05 86-08 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Sci. Comput. 81, No. 3, 1297--1328 (2019; Zbl 1429.86003) Full Text: DOI
Zhai, Shuying; Wang, Dongling; Weng, Zhifeng; Zhao, Xuan Error analysis and numerical simulations of Strang splitting method for space fractional nonlinear Schrödinger equation. (English) Zbl 1459.65204 J. Sci. Comput. 81, No. 2, 965-989 (2019). MSC: 65M70 65M12 65M15 35Q55 35R11 PDFBibTeX XMLCite \textit{S. Zhai} et al., J. Sci. Comput. 81, No. 2, 965--989 (2019; Zbl 1459.65204) Full Text: DOI
Bohm, Marvin; Schermeng, Sven; Winters, Andrew R.; Gassner, Gregor J.; Jacobs, Gustaaf B. Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods. (English) Zbl 1427.65282 J. Sci. Comput. 81, No. 2, 820-844 (2019). MSC: 65M70 65Z05 35L67 35L65 65M60 35Q31 76W05 76L05 65D32 65L06 PDFBibTeX XMLCite \textit{M. Bohm} et al., J. Sci. Comput. 81, No. 2, 820--844 (2019; Zbl 1427.65282) Full Text: DOI arXiv
Moradi, Afsaneh; Farzi, Javad; Abdi, Ali Strong stability preserving second derivative general linear methods. (English) Zbl 1427.65110 J. Sci. Comput. 81, No. 1, 392-435 (2019). MSC: 65L05 65L06 34A34 65L60 65L20 65L50 PDFBibTeX XMLCite \textit{A. Moradi} et al., J. Sci. Comput. 81, No. 1, 392--435 (2019; Zbl 1427.65110) Full Text: DOI
Ren, Jiong; Wang, Gang; Ma, Mingsheng A group of CFL-dependent flux-limiters to control the numerical dissipation in multi-stage unsteady calculation. (English) Zbl 1427.65211 J. Sci. Comput. 81, No. 1, 186-216 (2019). MSC: 65M08 76N15 65M15 35L65 65M20 35L02 65L06 35Q31 76J20 76L05 PDFBibTeX XMLCite \textit{J. Ren} et al., J. Sci. Comput. 81, No. 1, 186--216 (2019; Zbl 1427.65211) Full Text: DOI
Carrillo, J. A.; Kolbe, N.; Lukáčová-Medvid’ová, M. A hybrid mass transport finite element method for Keller-Segel type systems. (English) Zbl 1457.65100 J. Sci. Comput. 80, No. 3, 1777-1804 (2019). MSC: 65M60 92C17 92C37 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Sci. Comput. 80, No. 3, 1777--1804 (2019; Zbl 1457.65100) Full Text: DOI arXiv
Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David On the efficient computation of smoothness indicators for a class of WENO reconstructions. (English) Zbl 1450.65076 J. Sci. Comput. 80, No. 2, 1240-1263 (2019). MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{A. Baeza} et al., J. Sci. Comput. 80, No. 2, 1240--1263 (2019; Zbl 1450.65076) Full Text: DOI
Sulman, M.; Nguyen, T. A positivity preserving moving mesh finite element method for the Keller-Segel chemotaxis model. (English) Zbl 1422.65413 J. Sci. Comput. 80, No. 1, 649-666 (2019). MSC: 65N30 65M06 35B44 92C17 35Q82 65M50 PDFBibTeX XMLCite \textit{M. Sulman} and \textit{T. Nguyen}, J. Sci. Comput. 80, No. 1, 649--666 (2019; Zbl 1422.65413) Full Text: DOI
Yousefi, Hassan; Mohammadi, Soheil; Rabczuk, Timon Multiscale polynomial-based high-order central high resolution schemes. (English) Zbl 1450.65091 J. Sci. Comput. 80, No. 1, 555-613 (2019). MSC: 65M06 65M12 65D05 65M50 PDFBibTeX XMLCite \textit{H. Yousefi} et al., J. Sci. Comput. 80, No. 1, 555--613 (2019; Zbl 1450.65091) Full Text: DOI
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. (English) Zbl 1418.76033 J. Sci. Comput. 80, No. 1, 538-554 (2019). MSC: 76M12 65M08 35L65 86-08 86A05 PDFBibTeX XMLCite \textit{Y. Cheng} et al., J. Sci. Comput. 80, No. 1, 538--554 (2019; Zbl 1418.76033) Full Text: DOI
Jing, Xiaobo; Li, Jun; Zhao, Xueping; Wang, Qi Second order linear energy stable schemes for Allen-Cahn equations with nonlocal constraints. (English) Zbl 1448.35301 J. Sci. Comput. 80, No. 1, 500-537 (2019). MSC: 35K57 65M12 65M06 PDFBibTeX XMLCite \textit{X. Jing} et al., J. Sci. Comput. 80, No. 1, 500--537 (2019; Zbl 1448.35301) Full Text: DOI arXiv
Epshteyn, Yekaterina; Xia, Qing Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D. (English) Zbl 1418.92003 J. Sci. Comput. 80, No. 1, 26-59 (2019). MSC: 92-08 65M06 65M70 65M99 92C17 35K57 PDFBibTeX XMLCite \textit{Y. Epshteyn} and \textit{Q. Xia}, J. Sci. Comput. 80, No. 1, 26--59 (2019; Zbl 1418.92003) 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
Oltean, Marius; Sopuerta, Carlos F.; Spallicci, Alessandro D. A. M. Particle-without-particle: a practical pseudospectral collocation method for linear partial differential equations with distributional sources. (English) Zbl 1423.83012 J. Sci. Comput. 79, No. 2, 827-866 (2019). MSC: 83C10 65N35 83C75 46F30 35G05 PDFBibTeX XMLCite \textit{M. Oltean} et al., J. Sci. Comput. 79, No. 2, 827--866 (2019; Zbl 1423.83012) Full Text: DOI arXiv
Escalante, C.; Fernández-Nieto, E. D.; Morales de Luna, T.; Castro, M. J. An efficient two-layer non-hydrostatic approach for dispersive water waves. (English) Zbl 1444.76032 J. Sci. Comput. 79, No. 1, 273-320 (2019). MSC: 76B15 86A05 76M12 76M20 35Q31 PDFBibTeX XMLCite \textit{C. Escalante} et al., J. Sci. Comput. 79, No. 1, 273--320 (2019; Zbl 1444.76032) Full Text: DOI Link
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
Guo, Li; Li, Xingjie Helen; Yang, Yang Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model. (English) Zbl 1419.65061 J. Sci. Comput. 78, No. 3, 1387-1404 (2019). MSC: 65M60 65M20 65L06 35Q92 92C17 35B44 PDFBibTeX XMLCite \textit{L. Guo} et al., J. Sci. Comput. 78, No. 3, 1387--1404 (2019; Zbl 1419.65061) Full Text: DOI
Ke, Guoyi; Guo, Wei An alternative formulation of discontinuous Galerkin schemes for solving Hamilton-Jacobi equations. (An alternative formulation of discontinous Galerkin schemes for solving Hamilton-Jacobi equations.) (English) Zbl 1417.65173 J. Sci. Comput. 78, No. 2, 1023-1044 (2019). MSC: 65M60 65M06 35D40 35F21 35L65 PDFBibTeX XMLCite \textit{G. Ke} and \textit{W. Guo}, J. Sci. Comput. 78, No. 2, 1023--1044 (2019; Zbl 1417.65173) Full Text: DOI
Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David Central WENO schemes through a global average weight. (English) Zbl 1412.65065 J. Sci. Comput. 78, No. 1, 499-530 (2019). MSC: 65M06 65M08 PDFBibTeX XMLCite \textit{A. Baeza} et al., J. Sci. Comput. 78, No. 1, 499--530 (2019; Zbl 1412.65065) Full Text: DOI
Wu, Jie; He, Yuan-yuan; Ding, Guo-hao; Han, Yi-yu Hybrid optimized low-dissipation and adaptive MUSCL reconstruction technique for hyperbolic conservation laws. (English) Zbl 1407.65151 J. Sci. Comput. 77, No. 1, 552-578 (2018). MSC: 65M08 65L06 35R09 35L65 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Sci. Comput. 77, No. 1, 552--578 (2018; Zbl 1407.65151) Full Text: DOI
Dong, Haitao; Liu, Fujun Numerical methods for Euler equations with self-similar and quasi self-similar solutions. (English) Zbl 1407.65101 J. Sci. Comput. 77, No. 2, 726-754 (2018). MSC: 65M06 35L65 76M20 76M22 35C06 35Q31 76L05 65M70 35P15 PDFBibTeX XMLCite \textit{H. Dong} and \textit{F. Liu}, J. Sci. Comput. 77, No. 2, 726--754 (2018; Zbl 1407.65101) Full Text: DOI
Ha, Youngsoo; Kim, Chang Ho; Yang, Hyoseon; Yoon, Jungho A sixth-order weighted essentially non-oscillatory schemes based on exponential polynomials for Hamilton-Jacobi equations. (English) Zbl 1422.65153 J. Sci. Comput. 75, No. 3, 1675-1700 (2018). MSC: 65M06 35F21 70H20 PDFBibTeX XMLCite \textit{Y. Ha} et al., J. Sci. Comput. 75, No. 3, 1675--1700 (2018; Zbl 1422.65153) Full Text: DOI
Carrillo, José A.; Düring, Bertram; Matthes, Daniel; McCormick, David S. A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes. (English) Zbl 1404.65083 J. Sci. Comput. 75, No. 3, 1463-1499 (2018). MSC: 65M06 65P10 35Q84 65K10 35A15 76S05 35Q35 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Sci. Comput. 75, No. 3, 1463--1499 (2018; Zbl 1404.65083) Full Text: DOI arXiv
Verma, Prabal Singh; Müller, Wolf-Christian Higher order finite volume central schemes for multi-dimensional hyperbolic problems. (English) Zbl 1393.65044 J. Sci. Comput. 75, No. 2, 941-969 (2018). MSC: 65N08 65L06 35L65 35Q31 76N15 76L05 PDFBibTeX XMLCite \textit{P. S. Verma} and \textit{W.-C. Müller}, J. Sci. Comput. 75, No. 2, 941--969 (2018; Zbl 1393.65044) Full Text: DOI arXiv
Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jingmei Finite volume HWENO schemes for nonconvex conservation laws. (English) Zbl 1393.65021 J. Sci. Comput. 75, No. 1, 65-82 (2018). MSC: 65M08 35Q31 35L65 PDFBibTeX XMLCite \textit{X. Cai} et al., J. Sci. Comput. 75, No. 1, 65--82 (2018; Zbl 1393.65021) Full Text: DOI arXiv
Jin, Shi; Ma, Zheng The discrete stochastic Galerkin method for hyperbolic equations with non-smooth and random coefficients. (English) Zbl 1398.65210 J. Sci. Comput. 74, No. 1, 97-121 (2018). Reviewer: Jaromír Antoch (Praha) MSC: 65M06 65M60 65C30 35L02 PDFBibTeX XMLCite \textit{S. Jin} and \textit{Z. Ma}, J. Sci. Comput. 74, No. 1, 97--121 (2018; Zbl 1398.65210) Full Text: DOI arXiv
Lee, B.; Kang, M.; Kim, Seongjai An essentially non-oscillatory Crank-Nicolson procedure for the simulation of convection-dominated flows. (English) Zbl 06849495 J. Sci. Comput. 71, No. 2, 875-895 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{B. Lee} et al., J. Sci. Comput. 71, No. 2, 875--895 (2017; Zbl 06849495) Full Text: DOI
Zhang, Mengping; Yan, Jue Fourier type super convergence study on DDGIC and symmetric DDG methods. (English) Zbl 1381.65085 J. Sci. Comput. 73, No. 2-3, 1276-1289 (2017). MSC: 65M60 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{J. Yan}, J. Sci. Comput. 73, No. 2--3, 1276--1289 (2017; Zbl 1381.65085) Full Text: DOI
Li, Xingjie Helen; Shu, Chi-Wang; Yang, Yang Local discontinuous Galerkin method for the Keller-Segel chemotaxis model. (English) Zbl 1384.92015 J. Sci. Comput. 73, No. 2-3, 943-967 (2017). MSC: 92C17 65M60 65M15 65M22 PDFBibTeX XMLCite \textit{X. H. Li} et al., J. Sci. Comput. 73, No. 2--3, 943--967 (2017; Zbl 1384.92015) Full Text: DOI
Hernandez-Duenas, Gerardo A hybrid method to solve shallow water flows with horizontal density gradients. (English) Zbl 1395.76051 J. Sci. Comput. 73, No. 2-3, 753-782 (2017). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{G. Hernandez-Duenas}, J. Sci. Comput. 73, No. 2--3, 753--782 (2017; Zbl 1395.76051) Full Text: DOI
Abgrall, R. High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. (English) Zbl 1398.65242 J. Sci. Comput. 73, No. 2-3, 461-494 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 PDFBibTeX XMLCite \textit{R. Abgrall}, J. Sci. Comput. 73, No. 2--3, 461--494 (2017; Zbl 1398.65242) Full Text: DOI HAL
Lee, Hyun Geun; Shin, Jaemin; Lee, June-Yub A second-order operator splitting Fourier spectral method for models of epitaxial thin film growth. (English) Zbl 1372.35240 J. Sci. Comput. 71, No. 3, 1303-1318 (2017). MSC: 35Q35 65M12 65M70 76A20 PDFBibTeX XMLCite \textit{H. G. Lee} et al., J. Sci. Comput. 71, No. 3, 1303--1318 (2017; Zbl 1372.35240) Full Text: DOI
Li, Maojun; Guyenne, Philippe; Li, Fengyan; Xu, Liwei A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations. (English) Zbl 1368.76038 J. Sci. Comput. 71, No. 3, 994-1034 (2017). MSC: 76M10 65M60 35Q35 76B15 PDFBibTeX XMLCite \textit{M. Li} et al., J. Sci. Comput. 71, No. 3, 994--1034 (2017; Zbl 1368.76038) Full Text: DOI
Sonntag, Matthias; Munz, Claus-Dieter Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells. (English) Zbl 1366.65089 J. Sci. Comput. 70, No. 3, 1262-1289 (2017). MSC: 65M60 65M08 35L65 65Y05 PDFBibTeX XMLCite \textit{M. Sonntag} and \textit{C.-D. Munz}, J. Sci. Comput. 70, No. 3, 1262--1289 (2017; Zbl 1366.65089) Full Text: DOI
Puppo, Gabriella; Semplice, Matteo Well-balanced high order 1D schemes on non-uniform grids and entropy residuals. (English) Zbl 1371.65093 J. Sci. Comput. 66, No. 3, 1052-1076 (2016). MSC: 65M08 35L65 65M50 65M15 PDFBibTeX XMLCite \textit{G. Puppo} and \textit{M. Semplice}, J. Sci. Comput. 66, No. 3, 1052--1076 (2016; Zbl 1371.65093) Full Text: DOI arXiv
Chai, Zhenhua; Shi, Baochang; Guo, Zhaoli A multiple-relaxation-time lattice Boltzmann model for general nonlinear anisotropic convection-diffusion equations. (English) Zbl 1356.82032 J. Sci. Comput. 69, No. 1, 355-390 (2016). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C40 PDFBibTeX XMLCite \textit{Z. Chai} et al., J. Sci. Comput. 69, No. 1, 355--390 (2016; Zbl 1356.82032) Full Text: DOI arXiv
Do, Seongju; Ha, Youngsoo; Kang, M.; Kim, Chang Ho Application of a multi-dimensional limiting process to central-upwind schemes for solving hyperbolic systems of conservation laws. (English) Zbl 1352.65300 J. Sci. Comput. 69, No. 1, 274-291 (2016). MSC: 65M20 65M06 35L65 PDFBibTeX XMLCite \textit{S. Do} et al., J. Sci. Comput. 69, No. 1, 274--291 (2016; Zbl 1352.65300) Full Text: DOI
Berthon, Christophe; Crestetto, Anaïs; Foucher, Françoise A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis. (English) Zbl 1350.65093 J. Sci. Comput. 67, No. 2, 618-643 (2016). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M08 65M12 35L60 35M30 35K55 92E20 PDFBibTeX XMLCite \textit{C. Berthon} et al., J. Sci. Comput. 67, No. 2, 618--643 (2016; Zbl 1350.65093) Full Text: DOI HAL
Semplice, M.; Coco, A.; Russo, G. Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. (English) Zbl 1335.65077 J. Sci. Comput. 66, No. 2, 692-724 (2016). MSC: 65M08 35L65 65M12 65M50 PDFBibTeX XMLCite \textit{M. Semplice} et al., J. Sci. Comput. 66, No. 2, 692--724 (2016; Zbl 1335.65077) Full Text: DOI arXiv
Kim, Kwangil; Li, Yonghai Construction of convergent high order schemes for time dependent Hamilton-Jacobi equations. (English) Zbl 1408.65053 J. Sci. Comput. 65, No. 1, 110-137 (2015). MSC: 65M06 65M12 35F21 PDFBibTeX XMLCite \textit{K. Kim} and \textit{Y. Li}, J. Sci. Comput. 65, No. 1, 110--137 (2015; Zbl 1408.65053) Full Text: DOI
Guo, Yan; Xiong, Tao; Shi, Yufeng A maximum-principle-satisfying high-order finite volume compact WENO scheme for scalar conservation laws with applications in incompressible flows. (English) Zbl 1330.76084 J. Sci. Comput. 65, No. 1, 83-109 (2015). MSC: 76M12 65M08 35Q35 PDFBibTeX XMLCite \textit{Y. Guo} et al., J. Sci. Comput. 65, No. 1, 83--109 (2015; Zbl 1330.76084) Full Text: DOI arXiv
Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying A fast explicit operator splitting method for modified Buckley-Leverett equations. (English) Zbl 1327.76098 J. Sci. Comput. 64, No. 3, 837-857 (2015). MSC: 76M12 65M08 65M70 35L67 35L65 PDFBibTeX XMLCite \textit{C.-Y. Kao} et al., J. Sci. Comput. 64, No. 3, 837--857 (2015; Zbl 1327.76098) Full Text: DOI
Sætra, Martin L.; Brodtkorb, André R.; Lie, Knut-Andreas Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations. (English) Zbl 1330.76088 J. Sci. Comput. 63, No. 1, 23-48 (2015). MSC: 76M12 65M08 76B15 35L65 65M50 65Y10 68N19 PDFBibTeX XMLCite \textit{M. L. Sætra} et al., J. Sci. Comput. 63, No. 1, 23--48 (2015; Zbl 1330.76088) Full Text: DOI
Yang, Suo; Kurganov, Alexander; Liu, Yingjie Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system. (English) Zbl 1320.76086 J. Sci. Comput. 63, No. 3, 678-698 (2015). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Sci. Comput. 63, No. 3, 678--698 (2015; Zbl 1320.76086) Full Text: DOI arXiv
Cordier, Floraine; Degond, Pierre; Kumbaro, Anela Phase appearance or disappearance in two-phase flows. (English) Zbl 1302.76114 J. Sci. Comput. 58, No. 1, 115-148 (2014). MSC: 76M12 65M08 76Txx PDFBibTeX XMLCite \textit{F. Cordier} et al., J. Sci. Comput. 58, No. 1, 115--148 (2014; Zbl 1302.76114) Full Text: DOI arXiv