Jung, Jonathan; Perrier, Vincent Behavior of the discontinuous Galerkin method for compressible flows at low Mach number on triangles and tetrahedrons. (English) Zbl 07805925 SIAM J. Sci. Comput. 46, No. 1, A452-A482 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M60 65M08 65M12 65M15 65M22 76N30 76M10 76M12 35Q31 PDFBibTeX XMLCite \textit{J. Jung} and \textit{V. Perrier}, SIAM J. Sci. Comput. 46, No. 1, A452--A482 (2024; Zbl 07805925) Full Text: DOI
Dumbser, Michael; Busto, Saray; Thomann, Andrea On thermodynamically compatible finite volume schemes for overdetermined hyperbolic systems. (English) Zbl 07802978 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 103-110 (2023). Reviewer: Petr Sváček (Praha) MSC: 65M08 65M20 65L06 65N08 35N99 76W05 76T06 76N10 35L02 35Q35 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Springer Proc. Math. Stat. 433, 103--110 (2023; Zbl 07802978) Full Text: DOI
Xu, Liang; Liu, Tiegang Ghost-fluid-based sharp interface methods for multi-material dynamics: a review. (English) Zbl 07783555 Commun. Comput. Phys. 34, No. 3, 563-612 (2023). MSC: 35Q31 35Q74 76N10 76T06 76T10 76T30 74F10 74A50 35L45 65M06 65N85 PDFBibTeX XMLCite \textit{L. Xu} and \textit{T. Liu}, Commun. Comput. Phys. 34, No. 3, 563--612 (2023; Zbl 07783555) Full Text: DOI
Birke, Claudius; Boscheri, Walter; Klingenberg, Christian A high order semi-implicit scheme for ideal magnetohydrodynamics. (English) Zbl 07781688 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 21-37 (2023). MSC: 65M08 65M06 65L06 65N08 76W05 76X05 35Q35 PDFBibTeX XMLCite \textit{C. Birke} et al., Springer Proc. Math. Stat. 432, 21--37 (2023; Zbl 07781688) Full Text: DOI
Karimov, Erkinjon; Ruzhansky, Michael; Toshtemirov, Bakhodirjon Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. (English) Zbl 07781111 Math. Methods Appl. Sci. 46, No. 1, 54-70 (2023). MSC: 35M12 35R11 PDFBibTeX XMLCite \textit{E. Karimov} et al., Math. Methods Appl. Sci. 46, No. 1, 54--70 (2023; Zbl 07781111) Full Text: DOI
Lyul’ko, N. A. Finite time stabilization to zero and exponential stability of quasilinear hyperbolic systems. (English. Russian original) Zbl 07780158 Sib. Math. J. 64, No. 6, 1356-1371 (2023); translation from Sib. Mat. Zh. 64, No. 6, 1229-1247 (2023). MSC: 35B40 35L50 35L60 PDFBibTeX XMLCite \textit{N. A. Lyul'ko}, Sib. Math. J. 64, No. 6, 1356--1371 (2023; Zbl 07780158); translation from Sib. Mat. Zh. 64, No. 6, 1229--1247 (2023) Full Text: DOI
Borges, Rafael B.deR.; Colman, Flávio C.; da Silva, Nicholas D. P.; Dicati, Gabriela W. O.; Gubaua, José E.; Shu, Chi-Wang Approximated decompositions for computational continuum mechanics. (English) Zbl 07766264 J. Comput. Phys. 495, Article ID 112576, 15 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{R. B. deR. Borges} et al., J. Comput. Phys. 495, Article ID 112576, 15 p. (2023; Zbl 07766264) Full Text: DOI
Sun, Meina; Wei, Zhijian The vanishing pressure limits of Riemann solutions to the Isothermal two-phase flow model under the external force. (English) Zbl 1526.35233 Z. Angew. Math. Phys. 74, No. 6, Paper No. 222, 32 p. (2023). MSC: 35L65 35L67 76N15 PDFBibTeX XMLCite \textit{M. Sun} and \textit{Z. Wei}, Z. Angew. Math. Phys. 74, No. 6, Paper No. 222, 32 p. (2023; Zbl 1526.35233) Full Text: DOI
Thomann, Andrea; Iollo, Angelo; Puppo, Gabriella Implicit relaxed all Mach number schemes for gases and compressible materials. (English) Zbl 1525.65088 SIAM J. Sci. Comput. 45, No. 5, A2632-A2656 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65L04 65L06 76M12 76M20 76N15 74B20 74F10 74S10 74S20 35L65 35Q31 PDFBibTeX XMLCite \textit{A. Thomann} et al., SIAM J. Sci. Comput. 45, No. 5, A2632--A2656 (2023; Zbl 1525.65088) Full Text: DOI arXiv
Serezhkin, A. HLLEPJ and HLLCEPJ Riemann solvers for the wilkins model of elastoplasticity. (English) Zbl 07742905 J. Comput. Phys. 492, Article ID 112419, 27 p. (2023). MSC: 74Sxx 35Lxx 65Mxx PDFBibTeX XMLCite \textit{A. Serezhkin}, J. Comput. Phys. 492, Article ID 112419, 27 p. (2023; Zbl 07742905) Full Text: DOI
Thomann, Andrea; Dumbser, Michael Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. (English) Zbl 07742008 J. Sci. Comput. 97, No. 1, Paper No. 9, 33 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. Thomann} and \textit{M. Dumbser}, J. Sci. Comput. 97, No. 1, Paper No. 9, 33 p. (2023; Zbl 07742008) Full Text: DOI
Zeng, Zhiqiang; Feng, Chengliang; Zhang, Xiaotao; Zhang, Shengtao; Liu, Tiegang A genuinely two-dimensional HLL-type approximate Riemann solver for hypo-elastic plastic flow. (English) Zbl 07738855 Commun. Comput. Phys. 34, No. 2, 318-356 (2023). MSC: 65-XX 35L45 35Q35 74C05 74M20 PDFBibTeX XMLCite \textit{Z. Zeng} et al., Commun. Comput. Phys. 34, No. 2, 318--356 (2023; Zbl 07738855) Full Text: DOI
Solovyev, Sergey; Novikov, Mikhail; Lisitsa, Vadim A numerical investigation of wave-induced fluid flows in anisotropic fractured porous media. (English) Zbl 07692036 Comput. Math. Appl. 140, 78-88 (2023). MSC: 65M06 65M12 86A15 76M20 35L05 PDFBibTeX XMLCite \textit{S. Solovyev} et al., Comput. Math. Appl. 140, 78--88 (2023; Zbl 07692036) Full Text: DOI
Martaud, Ludovic Global entropy stability for a class of unlimited second-order schemes for 2D hyperbolic systems of conservation laws on unstructured meshes. (English) Zbl 07690238 J. Comput. Phys. 487, Article ID 112176, 22 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{L. Martaud}, J. Comput. Phys. 487, Article ID 112176, 22 p. (2023; Zbl 07690238) Full Text: DOI
Chiocchetti, Simone; Dumbser, Michael An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension. (English) Zbl 07682799 J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{S. Chiocchetti} and \textit{M. Dumbser}, J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023; Zbl 07682799) Full Text: DOI arXiv
Busto, Saray; Dumbser, Michael A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. (English) Zbl 07670867 SIAM J. Numer. Anal. 61, No. 1, 343-364 (2023). MSC: 65-XX 35L40 65M08 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, SIAM J. Numer. Anal. 61, No. 1, 343--364 (2023; Zbl 07670867) Full Text: DOI arXiv
Balsara, Dinshaw S.; Käppeli, Roger; Boscheri, Walter; Dumbser, Michael Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. (English) Zbl 1524.35142 Commun. Appl. Math. Comput. 5, No. 1, 235-294 (2023). MSC: 35Fxx 35Lxx 35Qxx PDFBibTeX XMLCite \textit{D. S. Balsara} et al., Commun. Appl. Math. Comput. 5, No. 1, 235--294 (2023; Zbl 1524.35142) Full Text: DOI arXiv
Tsoutsanis, Panagiotis Stencil selection algorithms for WENO schemes on unstructured meshes. (English) Zbl 07649256 J. Comput. Phys. 475, Article ID 108840, 41 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{P. Tsoutsanis}, J. Comput. Phys. 475, Article ID 108840, 41 p. (2023; Zbl 07649256) Full Text: DOI
Maltsev, Vadim; Yuan, Dean; Jenkins, Karl W.; Skote, Martin; Tsoutsanis, Panagiotis Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes. (English) Zbl 07625424 J. Comput. Phys. 473, Article ID 111755, 33 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{V. Maltsev} et al., J. Comput. Phys. 473, Article ID 111755, 33 p. (2023; Zbl 07625424) Full Text: DOI
Yadav, Shalini; Singh, Deepika; Arora, Rajan Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non-ideal gas with azimuthal magnetic field. (English) Zbl 07812805 Math. Methods Appl. Sci. 45, No. 17, 11889-11904 (2022). MSC: 35L40 35L60 35L65 35L67 PDFBibTeX XMLCite \textit{S. Yadav} et al., Math. Methods Appl. Sci. 45, No. 17, 11889--11904 (2022; Zbl 07812805) Full Text: DOI
Kuila, Sahadeb; Zeidan, Dia; Raja Sekhar, T. Weak shock wave interactions in isentropic Cargo-LeRoux model of flux perturbation. (English) Zbl 07775938 Math. Methods Appl. Sci. 45, No. 12, 7526-7537 (2022). MSC: 35L67 35B20 35D30 35L45 35L65 76L05 76N10 PDFBibTeX XMLCite \textit{S. Kuila} et al., Math. Methods Appl. Sci. 45, No. 12, 7526--7537 (2022; Zbl 07775938) Full Text: DOI
Castro Díaz, Manuel J. (ed.); Després, Bruno (ed.); Dumbser, Michael (ed.); Klingenberg, Christian (ed.) Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10–16, 2022. (English) Zbl 1519.00016 Oberwolfach Rep. 19, No. 2, 979-1037 (2022). MSC: 00B05 00B25 35-06 35L45 35L65 58J45 65M06 65M08 65M12 65M25 65M60 74C20 76W05 76M12 78M10 78M12 83C05 83C22 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} (ed.) et al., Oberwolfach Rep. 19, No. 2, 979--1037 (2022; Zbl 1519.00016) Full Text: DOI
Romenski, Evgeniy; Reshetova, Galina; Peshkov, Ilya Two-phase hyperbolic model for porous media saturated with a viscous fluid and its application to wavefields simulation. (English) Zbl 1503.76099 Appl. Math. Modelling 106, 567-600 (2022). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{E. Romenski} et al., Appl. Math. Modelling 106, 567--600 (2022; Zbl 1503.76099) Full Text: DOI arXiv
Thein, Ferdinand; Romenski, Evgeniy; Dumbser, Michael Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows. (English) Zbl 1504.35184 J. Sci. Comput. 93, No. 3, Paper No. 83, 60 p. (2022). MSC: 35L03 35Q35 65M08 76Txx PDFBibTeX XMLCite \textit{F. Thein} et al., J. Sci. Comput. 93, No. 3, Paper No. 83, 60 p. (2022; Zbl 1504.35184) 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
Zhang, Yu; Zhang, Yanyan Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation. (English) Zbl 07627529 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 6, 879-899 (2022). MSC: 35L65 35L67 76N10 76N15 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Zhang}, Int. J. Nonlinear Sci. Numer. Simul. 23, No. 6, 879--899 (2022; Zbl 07627529) Full Text: DOI
Coclite, Giuseppe Maria; Maddalena, Francesco Conservation laws in continuum mechanics. (English) Zbl 1497.35319 Chiappini, Massimo (ed.) et al., Applied mathematical problems in geophysics, Cetraro, Italy, July 2019. Lecture notes given at the summer school. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2308, 157-207 (2022). MSC: 35L65 74B20 90B20 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{F. Maddalena}, Lect. Notes Math. 2308, 157--207 (2022; Zbl 1497.35319) Full Text: DOI
Dhaouadi, Firas; Dumbser, Michael A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. (English) Zbl 07599597 J. Comput. Phys. 470, Article ID 111544, 30 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Dhaouadi} and \textit{M. Dumbser}, J. Comput. Phys. 470, Article ID 111544, 30 p. (2022; Zbl 07599597) Full Text: DOI
Ahmad, Sohail; Ashraf, Muhammad; Ali, Kashif; Sooppy Nisar, Kottakkaran Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls. (English) Zbl 1525.76003 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 5, 761-775 (2022). MSC: 76A05 76M20 80A19 35Q35 76D05 PDFBibTeX XMLCite \textit{S. Ahmad} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 5, 761--775 (2022; Zbl 1525.76003) Full Text: DOI
Boscheri, Walter; Tavelli, Maurizio High order semi-implicit schemes for viscous compressible flows in 3D. (English) Zbl 1510.76036 Appl. Math. Comput. 434, Article ID 127457, 19 p. (2022). MSC: 76D05 76M20 65M06 76M12 35L65 35Q30 PDFBibTeX XMLCite \textit{W. Boscheri} and \textit{M. Tavelli}, Appl. Math. Comput. 434, Article ID 127457, 19 p. (2022; Zbl 1510.76036) Full Text: DOI
Balsara, Dinshaw S.; Käppeli, Roger Von Neumann stability analysis of DG-like and P\(N\)P\(M\)-like schemes for PDEs with globally curl-preserving evolution of vector fields. (English) Zbl 1513.76097 Commun. Appl. Math. Comput. 4, No. 3, 945-985 (2022). MSC: 76M12 65M60 65M20 35L65 65M12 76W05 PDFBibTeX XMLCite \textit{D. S. Balsara} and \textit{R. Käppeli}, Commun. Appl. Math. Comput. 4, No. 3, 945--985 (2022; Zbl 1513.76097) Full Text: DOI arXiv
Dhaouadi, Firas; Gavrilyuk, Sergey; Vila, Jean-Paul Hyperbolic relaxation models for thin films down an inclined plane. (English) Zbl 1510.76022 Appl. Math. Comput. 433, Article ID 127378, 18 p. (2022). MSC: 76A20 35Q35 PDFBibTeX XMLCite \textit{F. Dhaouadi} et al., Appl. Math. Comput. 433, Article ID 127378, 18 p. (2022; Zbl 1510.76022) Full Text: DOI
Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy On thermodynamically compatible finite volume schemes for continuum mechanics. (English) Zbl 07556268 SIAM J. Sci. Comput. 44, No. 3, A1723-A1751 (2022). MSC: 65-XX 35L40 65M08 PDFBibTeX XMLCite \textit{S. Busto} et al., SIAM J. Sci. Comput. 44, No. 3, A1723--A1751 (2022; Zbl 07556268) Full Text: DOI
Semisalov, Boris; Belyaev, Vasily; Bryndin, Luka; Gorynin, Arsenii; Blokhin, Alexander; Golushko, Sergey; Shapeev, Vasily Verified simulation of the stationary polymer fluid flows in the channel with elliptical cross-Section. (English) Zbl 1510.76017 Appl. Math. Comput. 430, Article ID 127294, 25 p. (2022). MSC: 76A05 35Q35 41A10 65M60 PDFBibTeX XMLCite \textit{B. Semisalov} et al., Appl. Math. Comput. 430, Article ID 127294, 25 p. (2022; Zbl 1510.76017) Full Text: DOI
Zeng, Zhiqiang; Feng, Chengliang; Yu, Changsheng; Liu, Tiegang Linearized double-shock approximate Riemann solver for augmented linear elastic solid. (English) Zbl 1513.80010 Numer. Math., Theory Methods Appl. 15, No. 1, 141-164 (2022). MSC: 80M12 80A17 74F05 74B10 74B15 74S10 35Q79 35Q74 PDFBibTeX XMLCite \textit{Z. Zeng} et al., Numer. Math., Theory Methods Appl. 15, No. 1, 141--164 (2022; Zbl 1513.80010) Full Text: DOI
Chen, Qian; Li, Li; Qi, Jin; Zeng, Zhiqiang; Tian, Baolin; Liu, Tiegang A cell-centered Lagrangian scheme with an elastic-perfectly plastic solid Riemann solver for wave propagations in solids. (English) Zbl 1499.65457 Adv. Appl. Math. Mech. 14, No. 3, 703-724 (2022). MSC: 65M08 35Q74 74B10 74C05 74M20 PDFBibTeX XMLCite \textit{Q. Chen} et al., Adv. Appl. Math. Mech. 14, No. 3, 703--724 (2022; Zbl 1499.65457) Full Text: DOI
Li, Shuangrong; Shen, Chun On the wave interactions for the drift-flux equations with the Chaplygin gas. (English) Zbl 1491.35289 Monatsh. Math. 197, No. 4, 635-654 (2022). Reviewer: Vincent Duchêne (Rennes) MSC: 35L67 35L45 35L60 35L65 76N15 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Shen}, Monatsh. Math. 197, No. 4, 635--654 (2022; Zbl 1491.35289) Full Text: DOI
Kulikovskii, Andrey G.; Chugainova, Anna P. Structures of non-classical discontinuities in solutions of hyperbolic systems of equations. (English. Russian original) Zbl 1490.74064 Russ. Math. Surv. 77, No. 1, 47-79 (2022); translation from Usp. Mat. Nauk 77, No. 1, 55-90 (2022). MSC: 74J40 74J30 74K10 35Q74 35L67 PDFBibTeX XMLCite \textit{A. G. Kulikovskii} and \textit{A. P. Chugainova}, Russ. Math. Surv. 77, No. 1, 47--79 (2022; Zbl 1490.74064); translation from Usp. Mat. Nauk 77, No. 1, 55--90 (2022) Full Text: DOI
Chaturvedi, Rahul Kumar; Singh, L. P.; Zeidan, Dia Delta shock wave solution of the Riemann problem for the non-homogeneous modified Chaplygin gasdynamics. (English) Zbl 1487.35250 J. Dyn. Differ. Equations 34, No. 2, 1067-1084 (2022). MSC: 35L67 35L45 35L60 35L65 76N30 PDFBibTeX XMLCite \textit{R. K. Chaturvedi} et al., J. Dyn. Differ. Equations 34, No. 2, 1067--1084 (2022; Zbl 1487.35250) Full Text: DOI
Gavrilyuk, Sergey; Shyue, Keh-Ming Hyperbolic approximation of the BBM equation. (English) Zbl 1485.35291 Nonlinearity 35, No. 3, 1447-1467 (2022). MSC: 35L65 35Q35 PDFBibTeX XMLCite \textit{S. Gavrilyuk} and \textit{K.-M. Shyue}, Nonlinearity 35, No. 3, 1447--1467 (2022; Zbl 1485.35291) Full Text: DOI HAL
Shen, Chun; Sun, Meina Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity. (English) Zbl 1508.35091 J. Differ. Equations 314, 1-55 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76T10 76L05 76P05 76N15 35L65 35L67 35B40 PDFBibTeX XMLCite \textit{C. Shen} and \textit{M. Sun}, J. Differ. Equations 314, 1--55 (2022; Zbl 1508.35091) Full Text: DOI
Shah, Sarswati; Singh, Randheer; Jena, Jasobanta Steepened wave in two-phase Chaplygin flows comprising a source term. (English) Zbl 1510.80009 Appl. Math. Comput. 413, Article ID 126656, 7 p. (2022). MSC: 80A19 35Q35 76T10 82D05 PDFBibTeX XMLCite \textit{S. Shah} et al., Appl. Math. Comput. 413, Article ID 126656, 7 p. (2022; Zbl 1510.80009) Full Text: DOI
Jiang, Song (ed.); Li, Jiequan (ed.); Lukáčová-Medvid’ová, Mária (ed.); Warnecke, Gerald (ed.) Small collaboration: Advanced numerical methods for nonlinear hyperbolic balance laws and their applications. Abstracts from the small collaboration held August 29 – September 4, 2021 (hybrid meeting). (English) Zbl 1506.00084 Oberwolfach Rep. 18, No. 3, 2269-2325 (2021). MSC: 00B05 00B25 65-06 35-06 35L65 35L40 35L60 35R60 65M08 60H15 PDFBibTeX XMLCite \textit{S. Jiang} (ed.) et al., Oberwolfach Rep. 18, No. 3, 2269--2325 (2021; Zbl 1506.00084) Full Text: DOI
Lescot, Paul; Valade, Laurène Bernstein processes, isovectors and mechanics. (English) Zbl 1499.60247 Ugolini, Stefania (ed.) et al., Geometry and invariance in stochastic dynamics. Selected papers based on the presentations at the the conference on random transformations and invariance in stochastic dynamics, Verona, Italy, March 25–29, 2019. Cham: Springer. Springer Proc. Math. Stat. 378, 213-229 (2021). MSC: 60H30 35R60 60J60 91G80 PDFBibTeX XMLCite \textit{P. Lescot} and \textit{L. Valade}, Springer Proc. Math. Stat. 378, 213--229 (2021; Zbl 1499.60247) Full Text: DOI
Klika, Václav Modelling of biomaterials as an application of the theory of mixtures. (English) Zbl 1504.92019 Málek, Josef (ed.) et al., Modeling biomaterials. Cham: Springer. Nečas Cent. Ser., 105-139 (2021). MSC: 92C05 35Q91 PDFBibTeX XMLCite \textit{V. Klika}, in: Modeling biomaterials. Cham: Springer. 105--139 (2021; Zbl 1504.92019) Full Text: DOI
Bykov, D. O.; Grebenev, V. N.; Medvedev, S. B. Hamiltonian structure and conservation laws of three-dimensional linear elasticity theory. (English) Zbl 1504.35019 Luo, Albert C. J. (ed.) et al., Symmetries and applications of differential equations. In memory of Nail H. Ibragimov (1939–2018). Beijing: Higher Education Press; Singapore: Springer. Nonlinear Phys. Sci., 99-123 (2021). MSC: 35B06 37K06 74B05 PDFBibTeX XMLCite \textit{D. O. Bykov} et al., in: Symmetries and applications of differential equations. In memory of Nail H. Ibragimov (1939--2018). Beijing: Higher Education Press; Singapore: Springer. 99--123 (2021; Zbl 1504.35019) Full Text: DOI
Abgrall, Rémi (ed.); Garavello, Mauro (ed.); Lukáčová-Medvid’ová, Mária (ed.); Trivisa, Konstantina (ed.) Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 – March 6, 2021 (hybrid meeting). (English) Zbl 1487.00026 Oberwolfach Rep. 18, No. 1, 589-661 (2021). MSC: 00B05 00B25 35-06 60-06 35L65 35L40 35L60 35R60 65M08 60H15 PDFBibTeX XMLCite \textit{R. Abgrall} (ed.) et al., Oberwolfach Rep. 18, No. 1, 589--661 (2021; Zbl 1487.00026) Full Text: DOI
Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. (English) Zbl 07510040 J. Comput. Phys. 426, Article ID 109898, 45 p. (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{S. Chiocchetti} et al., J. Comput. Phys. 426, Article ID 109898, 45 p. (2021; Zbl 07510040) Full Text: DOI arXiv
Boscheri, W.; Dumbser, M.; Ioriatti, M.; Peshkov, I.; Romenski, E. A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. (English) Zbl 07508471 J. Comput. Phys. 424, Article ID 109866, 40 p. (2021). MSC: 80-XX 35-XX PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 424, Article ID 109866, 40 p. (2021; Zbl 07508471) Full Text: DOI arXiv
Guzev, M. A.; Liu, W.; Qi, Ch.; Riabokon, E. P. Compensating role of self-equilibrated stress fields in constructing non-singular solutions using a non-Euclidean continuum model. (English. Russian original) Zbl 1490.35484 J. Appl. Mech. Tech. Phys. 62, No. 5, 736-741 (2021); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 38-44 (2021). MSC: 35Q74 74A10 PDFBibTeX XMLCite \textit{M. A. Guzev} et al., J. Appl. Mech. Tech. Phys. 62, No. 5, 736--741 (2021; Zbl 1490.35484); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 38--44 (2021) Full Text: DOI
Chaturvedi, Rahul Kumar; Pradeep; Singh, L. P. The formation of shock wave in a two-dimensional supersonic planar and axisymmetric non-ideal gas flow with magnetic field. (English) Zbl 1499.76138 Comput. Appl. Math. 40, No. 8, Paper No. 307, 14 p. (2021). MSC: 76W05 35F20 35L40 76L05 PDFBibTeX XMLCite \textit{R. K. Chaturvedi} et al., Comput. Appl. Math. 40, No. 8, Paper No. 307, 14 p. (2021; Zbl 1499.76138) Full Text: DOI
Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M. A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. (English) Zbl 1510.76082 Appl. Math. Comput. 402, Article ID 126117, 29 p. (2021). MSC: 76M10 65M60 76M20 65M08 35Q35 PDFBibTeX XMLCite \textit{S. Busto} et al., Appl. Math. Comput. 402, Article ID 126117, 29 p. (2021; Zbl 1510.76082) Full Text: DOI arXiv
Chugainova, A. P.; Kulikovskii, A. G. Shock waves in an incompressible anisotropic elastoplastic medium with hardening and their structures. (English) Zbl 1508.74038 Appl. Math. Comput. 401, Article ID 126077, 12 p. (2021). MSC: 74J40 35Q35 74C05 74E10 76L05 PDFBibTeX XMLCite \textit{A. P. Chugainova} and \textit{A. G. Kulikovskii}, Appl. Math. Comput. 401, Article ID 126077, 12 p. (2021; Zbl 1508.74038) Full Text: DOI
Galina, Reshetova; Evgeniy, Romenski Diffuse interface approach to modeling wavefields in a saturated porous medium. (English) Zbl 1508.35173 Appl. Math. Comput. 398, Article ID 125978, 16 p. (2021). MSC: 35Q60 PDFBibTeX XMLCite \textit{R. Galina} and \textit{R. Evgeniy}, Appl. Math. Comput. 398, Article ID 125978, 16 p. (2021; Zbl 1508.35173) Full Text: DOI
Balashov, Vladislav A regularized isothermal phase-field model of two-phase solid-fluid mixture and its spatial dissipative discretization equations. (English) Zbl 1481.65121 Russ. J. Numer. Anal. Math. Model. 36, No. 4, 197-217 (2021). MSC: 65M06 65N06 35Q35 74F10 74B20 76T99 76T20 76A05 35B65 PDFBibTeX XMLCite \textit{V. Balashov}, Russ. J. Numer. Anal. Math. Model. 36, No. 4, 197--217 (2021; Zbl 1481.65121) Full Text: DOI
Boyaval, Sébastien Viscoelastic flows of Maxwell fluids with conservation laws. (English) Zbl 1485.76009 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 807-831 (2021). MSC: 76A10 74D99 35Q35 PDFBibTeX XMLCite \textit{S. Boyaval}, ESAIM, Math. Model. Numer. Anal. 55, No. 3, 807--831 (2021; Zbl 1485.76009) Full Text: DOI arXiv
Duru, Kenneth; Rannabauer, Leonhard; Gabriel, Alice-Agnes; Igel, Heiner A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes. (English) Zbl 1506.65151 J. Sci. Comput. 88, No. 3, Paper No. 51, 32 p. (2021). Reviewer: Yan Xu (Hefei) MSC: 65M60 65M70 35F55 35F46 65M12 65M15 74J05 74M10 74R10 35Q74 PDFBibTeX XMLCite \textit{K. Duru} et al., J. Sci. Comput. 88, No. 3, Paper No. 51, 32 p. (2021; Zbl 1506.65151) Full Text: DOI
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
Alekseev, Mikhail; Savenkov, Evgeny Runge-Kutta discontinuous Galerkin method for Baer-Nunziato model with ‘simple WENO’ limiting of conservative variables. (English) Zbl 1469.65145 Russ. J. Numer. Anal. Math. Model. 36, No. 2, 57-74 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65L06 76N99 35Q35 PDFBibTeX XMLCite \textit{M. Alekseev} and \textit{E. Savenkov}, Russ. J. Numer. Anal. Math. Model. 36, No. 2, 57--74 (2021; Zbl 1469.65145) Full Text: DOI
Wang, Pengyan; Shen, Chun The perturbed Riemann problem for a macroscopic production model with Chaplygin gas. (English) Zbl 1465.35305 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1195-1214 (2021). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 76N15 35Q31 PDFBibTeX XMLCite \textit{P. Wang} and \textit{C. Shen}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1195--1214 (2021; Zbl 1465.35305) Full Text: DOI
Bermúdez, A.; Busto, S.; Dumbser, M.; Ferrín, J. L.; Saavedra, L.; Vázquez-Cendón, M. E. A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. (English) Zbl 07508366 J. Comput. Phys. 421, Article ID 109743, 31 p. (2020). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Comput. Phys. 421, Article ID 109743, 31 p. (2020; Zbl 07508366) Full Text: DOI arXiv
Edwan, Reem; Saadeh, Rania; Hadid, Samir; Al-Smadi, Mohammed; Momani, Shaher Solving time-space-fractional Cauchy problem with constant coefficients by finite-difference method. (English) Zbl 1486.65100 Zeidan, Dia (ed.) et al., Computational mathematics and applications. Singapore: Springer. Forum Interdiscip. Math., 25-46 (2020). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{R. Edwan} et al., in: Computational mathematics and applications. Singapore: Springer. 25--46 (2020; Zbl 1486.65100) Full Text: DOI
Michael, Louisa; Millmore, Stephen T.; Nikiforakis, Nikolaos A multi-physics methodology for four states of matter. (English) Zbl 1476.76005 Commun. Appl. Math. Comput. 2, No. 3, 487-514 (2020). MSC: 76-10 76M12 35L60 74F10 74F15 76L05 76X05 PDFBibTeX XMLCite \textit{L. Michael} et al., Commun. Appl. Math. Comput. 2, No. 3, 487--514 (2020; Zbl 1476.76005) Full Text: DOI arXiv
Gerster, Stephan; Herty, Michael Entropies and symmetrization of hyperbolic stochastic Galerkin formulations. (English) Zbl 1518.65109 Commun. Comput. Phys. 27, No. 3, 639-671 (2020). MSC: 65M60 76B15 35L65 35R09 54C70 58J45 37L45 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{S. Gerster} and \textit{M. Herty}, Commun. Comput. Phys. 27, No. 3, 639--671 (2020; Zbl 1518.65109) Full Text: DOI
Yong, Wen-An Intrinsic properties of conservation-dissipation formalism of irreversible thermodynamics. (English) Zbl 1462.82052 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190177, 16 p. (2020). MSC: 82C35 35L65 80A10 PDFBibTeX XMLCite \textit{W.-A. Yong}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190177, 16 p. (2020; Zbl 1462.82052) Full Text: DOI arXiv
Duru, Kenneth; Rannabauer, Leonhard; Gabriel, Alice-Agnes; Kreiss, Gunilla; Bader, Michael A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form. (English) Zbl 1455.65166 Numer. Math. 146, No. 4, 729-782 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M08 65M12 65M15 35F55 35F46 35Q74 74B10 44A10 PDFBibTeX XMLCite \textit{K. Duru} et al., Numer. Math. 146, No. 4, 729--782 (2020; Zbl 1455.65166) Full Text: DOI arXiv
Shen, Chun The singular limits of solutions to the Riemann problem for the liquid-gas two-phase isentropic flow model. (English) Zbl 1454.76054 J. Math. Phys. 61, No. 8, 081502, 20 p. (2020). MSC: 76L05 76T10 35L67 PDFBibTeX XMLCite \textit{C. Shen}, J. Math. Phys. 61, No. 8, 081502, 20 p. (2020; Zbl 1454.76054) Full Text: DOI
Sadovskii, V. M. Thermodynamic consistency and mathematical well-posedness in the theory of elastoplastic, granular, and porous materials. (English. Russian original) Zbl 1450.74022 Comput. Math. Math. Phys. 60, No. 4, 723-736 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 4, 738-751 (2020). MSC: 74J40 74C05 74E20 74F10 74S20 74A15 35Q74 PDFBibTeX XMLCite \textit{V. M. Sadovskii}, Comput. Math. Math. Phys. 60, No. 4, 723--736 (2020; Zbl 1450.74022); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 4, 738--751 (2020) Full Text: DOI
Pavelka, Michal; Klika, Václav; Grmela, Miroslav Generalization of the dynamical lack-of-fit reduction from GENERIC to GENERIC. (English) Zbl 1453.82040 J. Stat. Phys. 181, No. 1, 19-52 (2020). MSC: 82C05 82C35 49L25 70H20 35F21 PDFBibTeX XMLCite \textit{M. Pavelka} et al., J. Stat. Phys. 181, No. 1, 19--52 (2020; Zbl 1453.82040) Full Text: DOI arXiv
Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A. Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. (English) Zbl 1437.65119 J. Comput. Phys. 416, Article ID 109545, 33 p. (2020). MSC: 65M08 65M60 35L65 PDFBibTeX XMLCite \textit{E. F. Toro} et al., J. Comput. Phys. 416, Article ID 109545, 33 p. (2020; Zbl 1437.65119) Full Text: DOI Link
Nishikawa, Hiroaki A hyperbolic Poisson solver for tetrahedral grids. (English) Zbl 1448.65197 J. Comput. Phys. 409, Article ID 109358, 31 p. (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N50 65H10 65F10 65F08 35J05 PDFBibTeX XMLCite \textit{H. Nishikawa}, J. Comput. Phys. 409, Article ID 109358, 31 p. (2020; Zbl 1448.65197) 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
Tsoutsanis, Panagiotis Stencil selection algorithms for WENO schemes on unstructured meshes. (English) Zbl 07785519 J. Comput. Phys.: X 4, Article ID 100037, 42 p. (2019). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{P. Tsoutsanis}, J. Comput. Phys.: X 4, Article ID 100037, 42 p. (2019; Zbl 07785519) Full Text: DOI
Boscheri, Walter; Balsara, Dinshaw S. High order direct arbitrary-Lagrangian-Eulerian (ALE) \(P_NP_M\) schemes with WENO adaptive-order reconstruction on unstructured meshes. (English) Zbl 1453.65309 J. Comput. Phys. 398, Article ID 108899, 33 p. (2019). MSC: 65M60 76M10 35L65 65M50 PDFBibTeX XMLCite \textit{W. Boscheri} and \textit{D. S. Balsara}, J. Comput. Phys. 398, Article ID 108899, 33 p. (2019; Zbl 1453.65309) Full Text: DOI
Escalante, C.; Dumbser, M.; Castro, M. J. An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. (English) Zbl 1452.65188 J. Comput. Phys. 394, 385-416 (2019). MSC: 65M08 65M60 65Y05 35L40 76M12 65Z05 PDFBibTeX XMLCite \textit{C. Escalante} et al., J. Comput. Phys. 394, 385--416 (2019; Zbl 1452.65188) Full Text: DOI
Mumtaz, Faisal; Saidaoui, Hamed; Alharbi, Fahhad H. Efficient high order method for differential equations in unbounded domains using generalized coordinate transformation. (English) Zbl 1451.65156 J. Comput. Phys. 381, 275-289 (2019). MSC: 65M70 65L60 65M60 35J05 35Q40 PDFBibTeX XMLCite \textit{F. Mumtaz} et al., J. Comput. Phys. 381, 275--289 (2019; Zbl 1451.65156) Full Text: DOI
Vabishchevich, P. N. Three-level schemes for the advection equation. (English. Russian original) Zbl 1427.65188 Differ. Equ. 55, No. 7, 905-914 (2019); translation from Differ. Uravn. 55, No. 7, 940-948 (2019). MSC: 65M06 65M60 35Q35 76M10 35K57 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Differ. Equ. 55, No. 7, 905--914 (2019; Zbl 1427.65188); translation from Differ. Uravn. 55, No. 7, 940--948 (2019) Full Text: DOI
Zhang, Ruigang; Yang, Liangui; Liu, Quansheng; Yin, Xiaojun Dynamics of nonlinear Rossby waves in zonally varying flow with spatial-temporal varying topography. (English) Zbl 1428.76224 Appl. Math. Comput. 346, 666-679 (2019). MSC: 76U65 35C08 76M99 35Q53 PDFBibTeX XMLCite \textit{R. Zhang} et al., Appl. Math. Comput. 346, 666--679 (2019; Zbl 1428.76224) Full Text: DOI
Boukili, Hamza; Hérard, Jean-Marc Relaxation and simulation of a barotropic three-phase flow model. (English) Zbl 1418.76032 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 1031-1059 (2019). MSC: 76M12 76T30 35L60 35Q35 35L67 PDFBibTeX XMLCite \textit{H. Boukili} and \textit{J.-M. Hérard}, ESAIM, Math. Model. Numer. Anal. 53, No. 3, 1031--1059 (2019; Zbl 1418.76032) Full Text: DOI HAL
Agbavon, K. M.; Appadu, A. R.; Khumalo, M. On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term. (English) Zbl 1459.65177 Adv. Difference Equ. 2019, Paper No. 146, 33 p. (2019). MSC: 65M50 65M06 76M20 76L05 35K57 PDFBibTeX XMLCite \textit{K. M. Agbavon} et al., Adv. Difference Equ. 2019, Paper No. 146, 33 p. (2019; Zbl 1459.65177) Full Text: DOI
Jia, Yueling; Jiang, Song; Tian, Baolin; Toro, Eleuterio F. A second-order path-conservative method for the compressible non-conservative two-phase flow. (English) Zbl 1488.35483 Commun. Comput. Phys. 24, No. 2, 309-331 (2018). MSC: 35Q53 35E15 74C05 74F10 74M20 PDFBibTeX XMLCite \textit{Y. Jia} et al., Commun. Comput. Phys. 24, No. 2, 309--331 (2018; Zbl 1488.35483) Full Text: DOI
Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. (English) Zbl 1434.65179 Axioms 7, No. 3, Paper No. 63, 26 p. (2018). MSC: 65M60 65M06 35L65 76M12 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Axioms 7, No. 3, Paper No. 63, 26 p. (2018; Zbl 1434.65179) Full Text: DOI arXiv
Urev, Mikhaĭl Vadimovich; Imomnazarov, Sherzad Kholmatgonovich The classical solution of one overdetermined stationary system arising in two-velocity hydrodynamics. (Russian. English summary) Zbl 1414.35133 Sib. Èlektron. Mat. Izv. 15, 1621-1629 (2018). MSC: 35N25 35J08 35A09 PDFBibTeX XMLCite \textit{M. V. Urev} and \textit{S. K. Imomnazarov}, Sib. Èlektron. Mat. Izv. 15, 1621--1629 (2018; Zbl 1414.35133) Full Text: DOI
Palin, Vladimir Vladimirovich Geometric solutions of the Riemann problem for the scalar conservation law. (Russian. English summary) Zbl 1424.35107 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 4, 620-646 (2018). MSC: 35C99 35D30 35L65 PDFBibTeX XMLCite \textit{V. V. Palin}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 4, 620--646 (2018; Zbl 1424.35107) Full Text: DOI MNR
Rakhmatillo, Aloev; Mirzoali, Khudoyberganov; Alexander, Blokhin Construction and research of adequate computational models for quasilinear hyperbolic systems. (English) Zbl 1407.65126 Numer. Algebra Control Optim. 8, No. 3, 277-289 (2018). MSC: 65M06 35L02 76N15 65M12 PDFBibTeX XMLCite \textit{A. Rakhmatillo} et al., Numer. Algebra Control Optim. 8, No. 3, 277--289 (2018; Zbl 1407.65126) Full Text: DOI
Nishikawa, Hiroaki; Nakashima, Yoshitaka Dimensional scaling and numerical similarity in hyperbolic method for diffusion. (English) Zbl 1380.35151 J. Comput. Phys. 355, 121-143 (2018). MSC: 35Q79 65M08 65B99 PDFBibTeX XMLCite \textit{H. Nishikawa} and \textit{Y. Nakashima}, J. Comput. Phys. 355, 121--143 (2018; Zbl 1380.35151) Full Text: DOI
de Brauer, Alexia; Iollo, Angelo; Milcent, Thomas A Cartesian scheme for compressible multimaterial hyperelastic models with plasticity. (English) Zbl 1488.74140 Commun. Comput. Phys. 22, No. 5, 1362-1384 (2017). MSC: 74S99 35L65 65M08 74C15 PDFBibTeX XMLCite \textit{A. de Brauer} et al., Commun. Comput. Phys. 22, No. 5, 1362--1384 (2017; Zbl 1488.74140) Full Text: DOI
Cheng, Jun-Bo; Jia, Yueling; Jiang, Song; Toro, Eleuterio F.; Yu, Ming A second-order cell-centered Lagrangian method for two-dimensional elastic-plastic flows. (English) Zbl 1488.74139 Commun. Comput. Phys. 22, No. 5, 1224-1257 (2017). MSC: 74S99 35L65 35L50 35Q74 74C05 74F10 74M20 PDFBibTeX XMLCite \textit{J.-B. Cheng} et al., Commun. Comput. Phys. 22, No. 5, 1224--1257 (2017; Zbl 1488.74139) Full Text: DOI
Gao, Si; Liu, Tiegang 1D exact elastic-perfectly plastic solid Riemann solver and its multi-material application. (English) Zbl 1488.74142 Adv. Appl. Math. Mech. 9, No. 3, 621-650 (2017). MSC: 74S99 35L50 35L60 35Q74 74C05 74F10 74M20 PDFBibTeX XMLCite \textit{S. Gao} and \textit{T. Liu}, Adv. Appl. Math. Mech. 9, No. 3, 621--650 (2017; Zbl 1488.74142) Full Text: DOI
Boscheri, Walter; Dumbser, Michael Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. (English) Zbl 1378.76044 J. Comput. Phys. 346, 449-479 (2017). MSC: 76M10 65M60 35L65 76W05 PDFBibTeX XMLCite \textit{W. Boscheri} and \textit{M. Dumbser}, J. Comput. Phys. 346, 449--479 (2017; Zbl 1378.76044) Full Text: DOI arXiv
Schütz, Jochen; Seal, David C.; Jaust, Alexander Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations. (English) Zbl 1381.65078 J. Sci. Comput. 73, No. 2-3, 1145-1163 (2017). MSC: 65M20 35K20 65M60 65L06 65M70 PDFBibTeX XMLCite \textit{J. Schütz} et al., J. Sci. Comput. 73, No. 2--3, 1145--1163 (2017; Zbl 1381.65078) 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
Rashidi, Saeede; Hejazi, S. Reza Analyzing Lie symmetry and constructing conservation laws for time-fractional Benny-Lin equation. (English) Zbl 1377.35274 Int. J. Geom. Methods Mod. Phys. 14, No. 12, Article ID 1750170, 25 p. (2017). MSC: 35R11 35B06 47H30 PDFBibTeX XMLCite \textit{S. Rashidi} and \textit{S. R. Hejazi}, Int. J. Geom. Methods Mod. Phys. 14, No. 12, Article ID 1750170, 25 p. (2017; Zbl 1377.35274) Full Text: DOI
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
Favrie, N.; Gavrilyuk, S. A rapid numerical method for solving Serre-Green-Naghdi equations describing long free surface gravity waves. (English) Zbl 1432.65120 Nonlinearity 30, No. 7, 2718-2736 (2017). MSC: 65M06 35L65 35Q53 PDFBibTeX XMLCite \textit{N. Favrie} and \textit{S. Gavrilyuk}, Nonlinearity 30, No. 7, 2718--2736 (2017; Zbl 1432.65120) Full Text: DOI
Medvedev, S. B.; Grebenev, V. N. Hamiltonian structure and conservation laws of two-dimensional linear elasticity theory. (English) Zbl 07775102 ZAMM, Z. Angew. Math. Mech. 96, No. 10, 1175-1183 (2016). MSC: 74B05 35L65 37K05 PDFBibTeX XMLCite \textit{S. B. Medvedev} and \textit{V. N. Grebenev}, ZAMM, Z. Angew. Math. Mech. 96, No. 10, 1175--1183 (2016; Zbl 07775102) Full Text: DOI
Bira, B.; Raja Sekhar, T.; Zeidan, D. Application of Lie groups to compressible model of two-phase flows. (English) Zbl 1443.76228 Comput. Math. Appl. 71, No. 1, 46-56 (2016). MSC: 76T10 35A30 35Q35 76M60 76N99 PDFBibTeX XMLCite \textit{B. Bira} et al., Comput. Math. Appl. 71, No. 1, 46--56 (2016; Zbl 1443.76228) Full Text: DOI
Goetz, Claus R.; Dumbser, Michael A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation. (English) Zbl 1368.65155 J. Sci. Comput. 69, No. 2, 805-840 (2016). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{C. R. Goetz} and \textit{M. Dumbser}, J. Sci. Comput. 69, No. 2, 805--840 (2016; Zbl 1368.65155) Full Text: DOI
Kulikovskii, A. G.; Chugainova, A. P. A self-similar wave problem in a Prandtl-Reuss elastoplastic medium. (English. Russian original) Zbl 1366.35186 Proc. Steklov Inst. Math. 295, 179-189 (2016); translation from Tr. Mat. Inst. Steklova 295, 195-205 (2016). MSC: 35Q74 74C05 74J40 35C06 PDFBibTeX XMLCite \textit{A. G. Kulikovskii} and \textit{A. P. Chugainova}, Proc. Steklov Inst. Math. 295, 179--189 (2016; Zbl 1366.35186); translation from Tr. Mat. Inst. Steklova 295, 195--205 (2016) Full Text: DOI
Il’ichev, A. T.; Chugainova, A. P. Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential. (English, Russian) Zbl 1368.35235 Proc. Steklov Inst. Math. 295, 148-157 (2016); translation in Tr. Mat. Inst. Steklova 295, 163-173 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35C07 35B35 PDFBibTeX XMLCite \textit{A. T. Il'ichev} and \textit{A. P. Chugainova}, Proc. Steklov Inst. Math. 295, 148--157 (2016; Zbl 1368.35235); translation in Tr. Mat. Inst. Steklova 295, 163--173 (2016) Full Text: DOI