Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan Finite element-based invariant-domain preserving approximation of hyperbolic systems: beyond second-order accuracy in space. (English) Zbl 07822121 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116470, 22 p. (2024). MSC: 65M60 65M12 35L65 35L45 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116470, 22 p. (2024; Zbl 07822121) Full Text: DOI
Chudzik, Erik; Helzel, Christiane; Lukáčová-Medvid’ová, Mária Active flux methods for hyperbolic systems using the method of bicharacteristics. (English) Zbl 07818681 J. Sci. Comput. 99, No. 1, Paper No. 16, 39 p. (2024). MSC: 65M08 65M25 65M50 65N06 65M12 35L65 76Q05 35Q31 35Q61 PDFBibTeX XMLCite \textit{E. Chudzik} et al., J. Sci. Comput. 99, No. 1, Paper No. 16, 39 p. (2024; Zbl 07818681) Full Text: DOI OA License
Macca, Emanuele; Loubère, Raphaël; Parés, Carlos; Russo, Giovanni An almost fail-safe a-posteriori limited high-order CAT scheme. (English) Zbl 07797629 J. Comput. Phys. 498, Article ID 112650, 29 p. (2024). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{E. Macca} et al., J. Comput. Phys. 498, Article ID 112650, 29 p. (2024; Zbl 07797629) Full Text: DOI arXiv
Guermond, Jean-Luc; Maier, Matthias; Tovar, Eric A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations. arXiv:2403.17123 Preprint, arXiv:2403.17123 [math.NA] (2024). MSC: 65M60 65M12 35L50 35L65 76M10 BibTeX Cite \textit{J.-L. Guermond} et al., ``A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations'', Preprint, arXiv:2403.17123 [math.NA] (2024) Full Text: arXiv OA License
Bürger, Raimund; Contreras, Harold Deivi; Villada, Luis Miguel A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. (English) Zbl 07818895 Netw. Heterog. Media 18, No. 2, 664-693 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65L06 65N08 65B05 74F10 35D30 35B50 35L65 35L45 90B20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Netw. Heterog. Media 18, No. 2, 664--693 (2023; Zbl 07818895) Full Text: DOI
Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander Adaptive high-order A-WENO schemes based on a new local smoothness indicator. (English) Zbl 1527.65070 East Asian J. Appl. Math. 13, No. 3, 576-609 (2023). MSC: 65M06 76M20 76N15 76L05 35L65 PDFBibTeX XMLCite \textit{A. Chertock} et al., East Asian J. Appl. Math. 13, No. 3, 576--609 (2023; Zbl 1527.65070) Full Text: DOI arXiv
Mittal, A. K. Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations. (English) Zbl 1528.65121 Calcolo 60, No. 4, Paper No. 50, 21 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 35L65 45D05 65R20 65H10 65D30 65D05 65N15 26A33 35R11 PDFBibTeX XMLCite \textit{A. K. Mittal}, Calcolo 60, No. 4, Paper No. 50, 21 p. (2023; Zbl 1528.65121) Full Text: DOI
Wu, Kailiang; Shu, Chi-Wang Geometric quasilinearization framework for analysis and design of bound-preserving schemes. (English) Zbl 1527.65082 SIAM Rev. 65, No. 4, 1031-1073 (2023). MSC: 65M08 65M06 65N08 65M12 35L65 35Q31 35Q35 76N10 76N15 76M12 76M20 PDFBibTeX XMLCite \textit{K. Wu} and \textit{C.-W. Shu}, SIAM Rev. 65, No. 4, 1031--1073 (2023; Zbl 1527.65082) Full Text: DOI arXiv
Alexandre, Ern; Guermond, Jean-Luc Invariant-domain preserving high-order time stepping. II: IMEX schemes. (English) Zbl 07742974 SIAM J. Sci. Comput. 45, No. 5, A2511-A2538 (2023). MSC: 65-XX 35L65 65M60 65M12 65N30 PDFBibTeX XMLCite \textit{E. Alexandre} and \textit{J.-L. Guermond}, SIAM J. Sci. Comput. 45, No. 5, A2511--A2538 (2023; Zbl 07742974) Full Text: DOI
Chen, Gui-Qiang G. Two-dimensional Riemann problems: transonic shock waves and free boundary problems. (English) Zbl 07729060 Commun. Appl. Math. Comput. 5, No. 3, 1015-1052 (2023). MSC: 35L67 35L65 35M10 35M30 35R35 76N10 35B36 35D30 76H05 76J20 35B30 35B40 76N30 65M08 76L05 PDFBibTeX XMLCite \textit{G.-Q. G. Chen}, Commun. Appl. Math. Comput. 5, No. 3, 1015--1052 (2023; Zbl 07729060) Full Text: DOI arXiv
Abedian, Rooholah A modified high-order symmetrical WENO scheme for hyperbolic conservation laws. (English) Zbl 07715042 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 4, 1521-1538 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{R. Abedian}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 4, 1521--1538 (2023; Zbl 07715042) Full Text: DOI
Carlier, Valentin; Renac, Florent Invariant domain preserving high-order spectral discontinuous approximations of hyperbolic systems. (English) Zbl 07704387 SIAM J. Sci. Comput. 45, No. 3, A1385-A1412 (2023). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65M15 35L65 PDFBibTeX XMLCite \textit{V. Carlier} and \textit{F. Renac}, SIAM J. Sci. Comput. 45, No. 3, A1385--A1412 (2023; Zbl 07704387) Full Text: DOI arXiv
Klein, Simon-Christian Stabilizing discontinuous Galerkin methods using Dafermos’ entropy rate criterion. I: One-dimensional conservation laws. (English) Zbl 07698861 J. Sci. Comput. 95, No. 2, Paper No. 55, 37 p. (2023). MSC: 65-XX 35L03 35L45 35L65 35L67 65M08 65M12 65M20 76L05 PDFBibTeX XMLCite \textit{S.-C. Klein}, J. Sci. Comput. 95, No. 2, Paper No. 55, 37 p. (2023; Zbl 07698861) Full Text: DOI arXiv
Barsukow, Wasilij All-speed numerical methods for the Euler equations via a sequential explicit time integration. (English) Zbl 07698859 J. Sci. Comput. 95, No. 2, Paper No. 53, 53 p. (2023). MSC: 65-XX 35A24 35L45 35L65 35Q31 35Q61 65M08 76M12 PDFBibTeX XMLCite \textit{W. Barsukow}, J. Sci. Comput. 95, No. 2, Paper No. 53, 53 p. (2023; Zbl 07698859) Full Text: DOI arXiv
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
Burman, Erik Some observations on the interaction between linear and nonlinear stabilization for continuous finite element methods applied to hyperbolic conservation laws. (English) Zbl 1516.65084 SIAM J. Sci. Comput. 45, No. 1, A96-A122 (2023). Reviewer: Shuji Yoshikawa (Oita) MSC: 65M60 65L06 35L45 35L65 35B05 65M12 65M15 76L05 76N10 35Q31 PDFBibTeX XMLCite \textit{E. Burman}, SIAM J. Sci. Comput. 45, No. 1, A96--A122 (2023; Zbl 1516.65084) Full Text: DOI
Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. (English) Zbl 1516.65081 SIAM J. Sci. Comput. 45, No. 1, A49-A73 (2023). MSC: 65M55 65M08 65M06 65N08 65H10 65M12 35A01 35A02 35K55 35L65 76S05 35Q35 PDFBibTeX XMLCite \textit{M. J. Gander} et al., SIAM J. Sci. Comput. 45, No. 1, A49--A73 (2023; Zbl 1516.65081) Full Text: DOI
Kusch, Jonas; Einkemmer, Lukas; Ceruti, Gianluca On the stability of robust dynamical low-rank approximations for hyperbolic problems. (English) Zbl 07673274 SIAM J. Sci. Comput. 45, No. 1, A1-A24 (2023). MSC: 65-XX 35L65 37M15 65C20 65P40 65M12 PDFBibTeX XMLCite \textit{J. Kusch} et al., SIAM J. Sci. Comput. 45, No. 1, A1--A24 (2023; Zbl 07673274) Full Text: DOI arXiv
Li, Liang; Zhu, Jun; Shu, Chi-Wang; Zhang, Yong-Tao A fixed-point fast sweeping WENO method with inverse Lax-Wendroff boundary treatment for steady state of hyperbolic conservation laws. (English) Zbl 1524.65365 Commun. Appl. Math. Comput. 5, No. 1, 403-427 (2023). MSC: 65M06 65N06 65N22 35L65 65F10 65M12 65L06 65H10 76N10 PDFBibTeX XMLCite \textit{L. Li} et al., Commun. Appl. Math. Comput. 5, No. 1, 403--427 (2023; Zbl 1524.65365) Full Text: DOI
Bacigaluppi, Paola; Abgrall, Rémi; Tokareva, Svetlana “A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. (English) Zbl 07652785 J. Comput. Phys. 476, Article ID 111898, 34 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{P. Bacigaluppi} et al., J. Comput. Phys. 476, Article ID 111898, 34 p. (2023; Zbl 07652785) Full Text: DOI
Badsi, Mehdi; Berthon, Christophe; Martaud, Ludovic A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws. (English) Zbl 1507.65221 SMAI J. Comput. Math. 9, 31-60 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65L06 35L65 35L67 PDFBibTeX XMLCite \textit{M. Badsi} et al., SMAI J. Comput. Math. 9, 31--60 (2023; Zbl 1507.65221) Full Text: DOI
Gaburro, Elena; Öffner, Philipp; Ricchiuto, Mario; Torlo, Davide High order entropy preserving ADER-DG schemes. (English) Zbl 1511.65109 Appl. Math. Comput. 440, Article ID 127644, 21 p. (2023). MSC: 65M70 65L06 35L65 65L20 65M12 65P10 PDFBibTeX XMLCite \textit{E. Gaburro} et al., Appl. Math. Comput. 440, Article ID 127644, 21 p. (2023; Zbl 1511.65109) Full Text: DOI arXiv
Ebata, Takanori; Ohwa, Hiroki Stability of solutions constructed by the wave front tracking method for conservation laws. (English) Zbl 07614818 Nonlinear Anal., Real World Appl. 69, Article ID 103717, 16 p. (2023). MSC: 65-XX 35Lxx 65Mxx 35Bxx PDFBibTeX XMLCite \textit{T. Ebata} and \textit{H. Ohwa}, Nonlinear Anal., Real World Appl. 69, Article ID 103717, 16 p. (2023; Zbl 07614818) Full Text: DOI
Huang, Qian; Koellermeier, Julian; Yong, Wen-An Equilibrium stability analysis of hyperbolic shallow water moment equations. (English) Zbl 07766910 Math. Methods Appl. Sci. 45, No. 10, 6459-6480 (2022). MSC: 76E20 65L07 76B15 35L65 37C20 PDFBibTeX XMLCite \textit{Q. Huang} et al., Math. Methods Appl. Sci. 45, No. 10, 6459--6480 (2022; Zbl 07766910) Full Text: DOI arXiv
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
Francesco, Marco Di; Stivaletta, Graziano The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws. (English) Zbl 1517.35130 J. Hyperbolic Differ. Equ. 19, No. 4, 775-807 (2022). MSC: 35L03 35L65 35A24 35A35 35Q70 65N75 PDFBibTeX XMLCite \textit{M. Di Francesco} and \textit{G. Stivaletta}, J. Hyperbolic Differ. Equ. 19, No. 4, 775--807 (2022; Zbl 1517.35130) Full Text: DOI arXiv
Guermond, Jean-Luc; Kees, Chris; Popov, Bojan; Tovar, Eric Well-balanced second-order convex limiting technique for solving the Serre-Green-Naghdi equations. (English) Zbl 1502.65121 Water Waves 4, No. 3, 409-445 (2022). MSC: 65M60 35L50 35L65 65M12 76M10 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., Water Waves 4, No. 3, 409--445 (2022; Zbl 1502.65121) Full Text: DOI
Klein, Simon-Christian Using the Dafermos entropy rate criterion in numerical schemes. (English) Zbl 1503.65202 BIT 62, No. 4, 1673-1701 (2022). Reviewer: Petr Sváček (Praha) MSC: 65M08 35L03 35L45 35L65 35L67 65M12 65M20 76L05 PDFBibTeX XMLCite \textit{S.-C. Klein}, BIT 62, No. 4, 1673--1701 (2022; Zbl 1503.65202) Full Text: DOI arXiv
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis. (English) Zbl 07605618 J. Comput. Phys. 471, Article ID 111670, 33 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{T. Bellotti} et al., J. Comput. Phys. 471, Article ID 111670, 33 p. (2022; Zbl 07605618) Full Text: DOI arXiv
Ern, Alexandre; Guermond, Jean-Luc Invariant-domain-preserving high-order time stepping. I: Explicit Runge-Kutta schemes. (English) Zbl 1501.65070 SIAM J. Sci. Comput. 44, No. 5, A3366-A3392 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65L06 65M06 65N30 35L65 65M12 PDFBibTeX XMLCite \textit{A. Ern} and \textit{J.-L. Guermond}, SIAM J. Sci. Comput. 44, No. 5, A3366--A3392 (2022; Zbl 1501.65070) Full Text: DOI
Kurganov, Alexander; Qu, Zhuolin; Wu, Tong Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. (English) Zbl 1501.65050 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1327-1360 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M50 76M12 76B15 86-08 35L65 35L67 35Q35 PDFBibTeX XMLCite \textit{A. Kurganov} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1327--1360 (2022; Zbl 1501.65050) Full Text: DOI
Gilpin, Shay; Matsuo, Tomoko; Cohn, Stephen E. Continuum covariance propagation for understanding variance loss in advective systems. (English) Zbl 1496.35250 SIAM/ASA J. Uncertain. Quantif. 10, 886-914 (2022). MSC: 35L65 47B38 65M22 86A10 65M75 65M32 65M80 PDFBibTeX XMLCite \textit{S. Gilpin} et al., SIAM/ASA J. Uncertain. Quantif. 10, 886--914 (2022; Zbl 1496.35250) Full Text: DOI arXiv
Jeong, Byeongseon; Yang, Hyoseon; Yoon, Jungho Development of a WENO scheme based on radial basis function with an improved convergence order. (English) Zbl 07578909 J. Comput. Phys. 468, Article ID 111502, 26 p. (2022). MSC: 65Mxx 41Axx 35Lxx PDFBibTeX XMLCite \textit{B. Jeong} et al., J. Comput. Phys. 468, Article ID 111502, 26 p. (2022; Zbl 07578909) Full Text: DOI
Gallice, Gérard; Chan, Agnes; Loubère, Raphaël; Maire, Pierre-Henri Entropy stable and positivity preserving Godunov-type schemes for multidimensional hyperbolic systems on unstructured grid. (English) Zbl 07578902 J. Comput. Phys. 468, Article ID 111493, 33 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{G. Gallice} et al., J. Comput. Phys. 468, Article ID 111493, 33 p. (2022; Zbl 07578902) Full Text: DOI
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws. (English) Zbl 1513.76102 SIAM J. Sci. Comput. 44, No. 4, A2599-A2627 (2022). MSC: 76M28 65M50 42C40 65M12 35L65 PDFBibTeX XMLCite \textit{T. Bellotti} et al., SIAM J. Sci. Comput. 44, No. 4, A2599--A2627 (2022; Zbl 1513.76102) Full Text: DOI arXiv
Ma, Tianbao; Wang, Chentao; Xu, Xiangzhao Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave. (English) Zbl 1496.65199 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 3, 417-436 (2022). MSC: 65N06 65M08 35L55 35L65 35L67 35B05 35Q31 PDFBibTeX XMLCite \textit{T. Ma} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 3, 417--436 (2022; Zbl 1496.65199) Full Text: DOI
Fjordholm, Ulrik Skre; Lye, Kjetil Olsen Convergence rates of monotone schemes for conservation laws for data with unbounded total variation. (English) Zbl 07543420 J. Sci. Comput. 91, No. 2, Paper No. 32, 16 p. (2022). MSC: 65Mxx 35Lxx 35Qxx PDFBibTeX XMLCite \textit{U. S. Fjordholm} and \textit{K. O. Lye}, J. Sci. Comput. 91, No. 2, Paper No. 32, 16 p. (2022; Zbl 07543420) Full Text: DOI arXiv
Balzotti, Caterina; Briani, Maya; De Filippo, Barbara; Piccoli, Benedetto A computational modular approach to evaluate \(\mathrm{NO_x}\) emissions and ozone production due to vehicular traffic. (English) Zbl 1506.35244 Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3455-3486 (2022). MSC: 35Q90 90B20 76N15 92E20 35L65 35L45 62P12 65M06 65N06 65L04 65L06 PDFBibTeX XMLCite \textit{C. Balzotti} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3455--3486 (2022; Zbl 1506.35244) Full Text: DOI
Chiarello, Felisia Angela; Contreras, Harold Deivi; Villada, Luis Miguel Nonlocal reaction traffic flow model with on-off ramps. (English) Zbl 1490.65166 Netw. Heterog. Media 17, No. 2, 203-226 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35L45 90B20 35Q90 35A01 35A02 35B50 PDFBibTeX XMLCite \textit{F. A. Chiarello} et al., Netw. Heterog. Media 17, No. 2, 203--226 (2022; Zbl 1490.65166) Full Text: DOI arXiv
Patel, Ravi G.; Manickam, Indu; Trask, Nathaniel A.; Wood, Mitchell A.; Lee, Myoungkyu; Tomas, Ignacio; Cyr, Eric C. Thermodynamically consistent physics-informed neural networks for hyperbolic systems. (English) Zbl 07524762 J. Comput. Phys. 449, Article ID 110754, 24 p. (2022). MSC: 35Lxx 65Mxx 68Txx PDFBibTeX XMLCite \textit{R. G. Patel} et al., J. Comput. Phys. 449, Article ID 110754, 24 p. (2022; Zbl 07524762) Full Text: DOI arXiv
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations. (English) Zbl 07517732 J. Comput. Phys. 452, Article ID 110901, 28 p. (2022). MSC: 65Mxx 65Cxx 76Mxx PDFBibTeX XMLCite \textit{D. Dai} et al., J. Comput. Phys. 452, Article ID 110901, 28 p. (2022; Zbl 07517732) Full Text: DOI arXiv
Carrillo, J. A.; Gómez-Castro, D.; Vázquez, J. L. Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility. (English) Zbl 1484.35283 Adv. Nonlinear Anal. 11, 937-967 (2022). MSC: 35L65 35L60 35L45 35L67 35D40 65M25 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Adv. Nonlinear Anal. 11, 937--967 (2022; Zbl 1484.35283) Full Text: DOI arXiv
Kusch, Jonas; Schlachter, Louisa Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws. (English) Zbl 1498.65143 J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M08 65M60 65K10 65Y05 49M41 35B05 35L60 35L65 35Q31 35Q62 37L65 76B10 35R60 PDFBibTeX XMLCite \textit{J. Kusch} and \textit{L. Schlachter}, J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022; Zbl 1498.65143) Full Text: DOI arXiv
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
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
Weissen, Jennifer; Göttlich, Simone; Armbruster, Dieter Density dependent diffusion models for the interaction of particle ensembles with boundaries. (English) Zbl 1502.35181 Kinet. Relat. Models 14, No. 4, 681-704 (2021). MSC: 35Q92 92C15 35M10 35K65 35L65 65M06 65N06 92-08 PDFBibTeX XMLCite \textit{J. Weissen} et al., Kinet. Relat. Models 14, No. 4, 681--704 (2021; Zbl 1502.35181) Full Text: DOI arXiv
Friedrich, Jan; Göttlich, Simone; Rossi, Elena Nonlocal approaches for multilane traffic models. (English) Zbl 1479.35563 Commun. Math. Sci. 19, No. 8, 2291-2317 (2021). MSC: 35L65 35L50 65M12 90B20 PDFBibTeX XMLCite \textit{J. Friedrich} et al., Commun. Math. Sci. 19, No. 8, 2291--2317 (2021; Zbl 1479.35563) Full Text: DOI arXiv
Popov, Bojan; Hua, Yuchen Invariant domain preserving central schemes for nonlinear hyperbolic systems. (English) Zbl 07440971 Commun. Math. Sci. 19, No. 2, 529-556 (2021). MSC: 65-XX 35L65 65M08 65M12 65M15 PDFBibTeX XMLCite \textit{B. Popov} and \textit{Y. Hua}, Commun. Math. Sci. 19, No. 2, 529--556 (2021; Zbl 07440971) Full Text: DOI
Lyu, Wenyang; Naik, Shibabrat; Wiggins, Stephen Hamiltonian pitchfork bifurcation in transition across index-1 saddles. (English) Zbl 1483.37068 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105949, 12 p. (2021). MSC: 37J20 70H33 37M20 65P30 PDFBibTeX XMLCite \textit{W. Lyu} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105949, 12 p. (2021; Zbl 1483.37068) Full Text: DOI arXiv
Kim, Mi-Young Arbitrary order DG-DGLM method for hyperbolic systems of multi-dimensional conservation laws. (English) Zbl 1524.65827 Comput. Math. Appl. 97, 100-121 (2021). MSC: 65N30 65M60 35L65 76M10 65M12 65M15 35D30 PDFBibTeX XMLCite \textit{M.-Y. Kim}, Comput. Math. Appl. 97, 100--121 (2021; Zbl 1524.65827) Full Text: DOI
Bürger, Raimund; Chalons, Christophe; Ordoñez, Rafael; Villada, Luis Miguel A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. (English) Zbl 1473.65095 Netw. Heterog. Media 16, No. 2, 187-219 (2021). MSC: 65M06 35L45 35L65 76A99 PDFBibTeX XMLCite \textit{R. Bürger} et al., Netw. Heterog. Media 16, No. 2, 187--219 (2021; Zbl 1473.65095) Full Text: DOI
Gkanis, Ioannis; Makridakis, Charalambos G. A new class of entropy stable schemes for hyperbolic systems: finite element methods. (English) Zbl 1480.65256 Math. Comput. 90, No. 330, 1663-1699 (2021). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65N30 65M12 65M15 35L65 35L40 PDFBibTeX XMLCite \textit{I. Gkanis} and \textit{C. G. Makridakis}, Math. Comput. 90, No. 330, 1663--1699 (2021; Zbl 1480.65256) Full Text: DOI
Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. (English) Zbl 1506.76076 Comput. Methods Appl. Mech. Eng. 375, Article ID 113608, 17 p. (2021). MSC: 76M10 65M60 35L65 65M12 76N06 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., Comput. Methods Appl. Mech. Eng. 375, Article ID 113608, 17 p. (2021; Zbl 1506.76076) Full Text: DOI arXiv
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil Hyperbolicity-preserving and well-balanced stochastic Galerkin method for shallow water equations. (English) Zbl 1471.65114 SIAM J. Sci. Comput. 43, No. 2, A929-A952 (2021). Reviewer: Victor Michel-Dansac (Strasbourg) MSC: 65M08 65M60 65M06 35L65 76B15 35Q35 35R60 PDFBibTeX XMLCite \textit{D. Dai} et al., SIAM J. Sci. Comput. 43, No. 2, A929--A952 (2021; Zbl 1471.65114) Full Text: DOI arXiv
Blachère, Florian; Chalons, Christophe; Turpault, Rodolphe Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes. (English) Zbl 1524.65450 Comput. Math. Appl. 87, 41-49 (2021). MSC: 65M08 65M12 35L65 76M12 65M06 35B40 PDFBibTeX XMLCite \textit{F. Blachère} et al., Comput. Math. Appl. 87, 41--49 (2021; Zbl 1524.65450) Full Text: DOI
Godlewski, Edwige; Raviart, Pierre-Arnaud Numerical approximation of hyperbolic systems of conservation laws. 2nd edition. (English) Zbl 1469.65007 Applied Mathematical Sciences 118. New York, NY: Springer (ISBN 978-1-0716-1342-9/hbk; 978-1-0716-1344-3/ebook). xiii, 840 p. (2021). MSC: 65-02 35-02 76-02 65M06 35L65 76M20 76N15 PDFBibTeX XMLCite \textit{E. Godlewski} and \textit{P.-A. Raviart}, Numerical approximation of hyperbolic systems of conservation laws. 2nd edition. New York, NY: Springer (2021; Zbl 1469.65007) Full Text: DOI
Abreu, E.; Matos, V.; Pérez, J.; Rodríguez-Bermúdez, P. A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms. (English) Zbl 1456.65056 J. Sci. Comput. 86, No. 1, Paper No. 14, 47 p. (2021). MSC: 65M06 65M12 35L65 35L45 76S05 76T06 76N10 76L05 76B15 PDFBibTeX XMLCite \textit{E. Abreu} et al., J. Sci. Comput. 86, No. 1, Paper No. 14, 47 p. (2021; Zbl 1456.65056) Full Text: DOI
Barsukow, Wasilij The active flux scheme for nonlinear problems. (English) Zbl 1457.65068 J. Sci. Comput. 86, No. 1, Paper No. 3, 34 p. (2021). MSC: 65M08 35L65 35L45 65M25 PDFBibTeX XMLCite \textit{W. Barsukow}, J. Sci. Comput. 86, No. 1, Paper No. 3, 34 p. (2021; Zbl 1457.65068) Full Text: DOI arXiv
Kuzmin, Dmitri; Quezada de Luna, Manuel Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. (English) Zbl 1506.74413 Comput. Methods Appl. Mech. Eng. 372, Article ID 113370, 20 p. (2020). MSC: 74S05 65M60 35L45 35L65 70S10 PDFBibTeX XMLCite \textit{D. Kuzmin} and \textit{M. Quezada de Luna}, Comput. Methods Appl. Mech. Eng. 372, Article ID 113370, 20 p. (2020; Zbl 1506.74413) Full Text: DOI arXiv
Gong, Xiaoqian; Kawski, Matthias Analysis of a nonlinear hyperbolic conservation law with measure-valued data. (English) Zbl 1459.35366 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 457-464 (2020). MSC: 35R06 35L65 65M25 93C20 PDFBibTeX XMLCite \textit{X. Gong} and \textit{M. Kawski}, AIMS Ser. Appl. Math. 10, 457--464 (2020; Zbl 1459.35366)
Arun, K. R.; Samantaray, Saurav An asymptotic preserving time integrator for low Mach number limits of the Euler equations with gravity. (English) Zbl 1462.35259 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 279-286 (2020). MSC: 35Q31 35L45 35L65 35L67 65M06 65M08 65M20 35B40 PDFBibTeX XMLCite \textit{K. R. Arun} and \textit{S. Samantaray}, AIMS Ser. Appl. Math. 10, 279--286 (2020; Zbl 1462.35259) Full Text: arXiv
Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun Central-upwind scheme for a non-hydrostatic Saint-Venant system. (English) Zbl 1460.65105 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 25-41 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 76M12 76B15 86-08 86A15 35L55 35L65 35L75 35Q35 PDFBibTeX XMLCite \textit{A. Chertock} et al., AIMS Ser. Appl. Math. 10, 25--41 (2020; Zbl 1460.65105)
Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura Second-order invariant domain preserving ALE approximation of hyperbolic systems. (English) Zbl 1453.65320 J. Comput. Phys. 401, Article ID 108927, 26 p. (2020). MSC: 65M60 35L65 65M12 76M10 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., J. Comput. Phys. 401, Article ID 108927, 26 p. (2020; Zbl 1453.65320) Full Text: DOI
Vega, Carlos A.; Valbuena, Sonia Numerical approximations of the Keyfitz-Kranzer type models by using entropy stable schemes. (English) Zbl 1458.65114 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 14, No. 3-4, 1-15 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 35L65 35L45 35L67 58J45 65M12 PDFBibTeX XMLCite \textit{C. A. Vega} and \textit{S. Valbuena}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 14, No. 3--4, 1--15 (2020; Zbl 1458.65114) Full Text: Link
Fan, Haitao; Shu, Chi-Wang Existence and computation of solutions of a model of traffic involving hysteresis. (English) Zbl 1454.35235 SIAM J. Appl. Math. 80, No. 6, 2319-2337 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 35L40 35D30 35C07 34C55 90B20 65Z05 65M06 65M12 60K30 76S05 PDFBibTeX XMLCite \textit{H. Fan} and \textit{C.-W. Shu}, SIAM J. Appl. Math. 80, No. 6, 2319--2337 (2020; Zbl 1454.35235) Full Text: DOI
Goatin, Paola; Rossi, Elena Comparative study of macroscopic traffic flow models at road junctions. (English) Zbl 1452.35098 Netw. Heterog. Media 15, No. 2, 261-279 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 90B20 82B21 65M08 PDFBibTeX XMLCite \textit{P. Goatin} and \textit{E. Rossi}, Netw. Heterog. Media 15, No. 2, 261--279 (2020; Zbl 1452.35098) Full Text: DOI
Kuzmin, Dmitri Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws. (English) Zbl 1442.65263 Comput. Methods Appl. Mech. Eng. 361, Article ID 112804, 28 p. (2020). MSC: 65M60 70S10 PDFBibTeX XMLCite \textit{D. Kuzmin}, Comput. Methods Appl. Mech. Eng. 361, Article ID 112804, 28 p. (2020; Zbl 1442.65263) Full Text: DOI arXiv
Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F. Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. (English) Zbl 1436.65121 Math. Models Methods Appl. Sci. 30, No. 3, 539-609 (2020). MSC: 65M08 65C05 65C30 35L65 76N10 76F65 PDFBibTeX XMLCite \textit{U. S. Fjordholm} et al., Math. Models Methods Appl. Sci. 30, No. 3, 539--609 (2020; Zbl 1436.65121) Full Text: DOI arXiv
Piacentini, Giulia; Goatin, Paola; Ferrara, Antonella A macroscopic model for platooning in highway traffic. (English) Zbl 1439.35326 SIAM J. Appl. Math. 80, No. 1, 639-656 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 90B20 82B21 65M08 PDFBibTeX XMLCite \textit{G. Piacentini} et al., SIAM J. Appl. Math. 80, No. 1, 639--656 (2020; Zbl 1439.35326) Full Text: DOI
Garg, Naveen Kumar A class of upwind methods based on generalized eigenvectors for weakly hyperbolic systems. (English) Zbl 1435.65138 Numer. Algorithms 83, No. 3, 1091-1121 (2020). MSC: 65M08 65M06 15A20 15A18 15A21 35L40 35L65 35P10 35Q35 PDFBibTeX XMLCite \textit{N. K. Garg}, Numer. Algorithms 83, No. 3, 1091--1121 (2020; Zbl 1435.65138) Full Text: DOI
Badwaik, Jayesh; Ruf, Adrian M. Convergence rates of monotone schemes for conservation laws with discontinuous flux. (English) Zbl 1440.65107 SIAM J. Numer. Anal. 58, No. 1, 607-629 (2020). MSC: 65M08 65M12 35R05 35L65 35L45 PDFBibTeX XMLCite \textit{J. Badwaik} and \textit{A. M. Ruf}, SIAM J. Numer. Anal. 58, No. 1, 607--629 (2020; Zbl 1440.65107) Full Text: DOI arXiv
Kriel, A. J. Entropy inequalities for fully-discrete E-schemes. (English) Zbl 1433.65177 Numer. Math. 144, No. 2, 347-356 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35L45 35L65 65M12 PDFBibTeX XMLCite \textit{A. J. Kriel}, Numer. Math. 144, No. 2, 347--356 (2020; Zbl 1433.65177) Full Text: DOI
Göttlich, Simone; Herty, Michael; Weldegiyorgis, Gediyon Input-to-state stability of a scalar conservation law with nonlocal velocity. arXiv:2011.03393 Preprint, arXiv:2011.03393 [math.OC] (2020). MSC: 35L65 93D15 65N08 BibTeX Cite \textit{S. Göttlich} et al., ``Input-to-state stability of a scalar conservation law with nonlocal velocity'', Preprint, arXiv:2011.03393 [math.OC] (2020) Full Text: arXiv OA License
Bürger, Raimund; Torres, Héctor; Vega, Carlos A. An entropy stable scheme for the multiclass Lighthill-Whitham-Richards traffic model. (English) Zbl 1488.65225 Adv. Appl. Math. Mech. 11, No. 5, 1022-1047 (2019). MSC: 65M06 35L45 35L65 76A99 90B20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Adv. Appl. Math. Mech. 11, No. 5, 1022--1047 (2019; Zbl 1488.65225) Full Text: DOI
Kabanov, Dmitry I.; Kasimov, Aslan R. A minimal hyperbolic system for unstable shock waves. (English) Zbl 1464.35157 Commun. Nonlinear Sci. Numer. Simul. 70, 282-301 (2019). MSC: 35L65 35B32 35B35 35C07 35L67 65M06 65M12 PDFBibTeX XMLCite \textit{D. I. Kabanov} and \textit{A. R. Kasimov}, Commun. Nonlinear Sci. Numer. Simul. 70, 282--301 (2019; Zbl 1464.35157) Full Text: DOI arXiv
Vázquez-Méndez, Miguel Ernesto; Alvarez-Vázquez, L. J.; García-Chan, Nestor; Martínez, A. Optimal management of an urban road network with an environmental perspective. (English) Zbl 1442.65279 Comput. Math. Appl. 77, No. 6, 1786-1797 (2019). MSC: 65M60 35L50 35L65 49N90 90B20 PDFBibTeX XMLCite \textit{M. E. Vázquez-Méndez} et al., Comput. Math. Appl. 77, No. 6, 1786--1797 (2019; Zbl 1442.65279) Full Text: DOI
Colombo, Rinaldo M. (ed.); LeFloch, Philippe G. (ed.); Rohde, Christian (ed.); Trivisa, Konstantina (ed.) Nonlinear hyperbolic problems: modeling, analysis, and numerics. Abstracts from the workshop held May 19–25, 2019. (English) Zbl 1439.00056 Oberwolfach Rep. 16, No. 2, 1419-1497 (2019). MSC: 00B05 00B25 35-06 35L65 35L60 35L40 00A71 65Mxx PDFBibTeX XMLCite \textit{R. M. Colombo} (ed.) et al., Oberwolfach Rep. 16, No. 2, 1419--1497 (2019; Zbl 1439.00056) Full Text: DOI
Barsukow, Wasilij; Hohm, Jonathan; Klingenberg, Christian; Roe, Philip L. The active flux scheme on Cartesian grids and its low Mach number limit. (English) Zbl 1442.65190 J. Sci. Comput. 81, No. 1, 594-622 (2019). MSC: 65M08 65M06 35L05 65M12 35L65 35L45 76Q05 PDFBibTeX XMLCite \textit{W. Barsukow} et al., J. Sci. Comput. 81, No. 1, 594--622 (2019; Zbl 1442.65190) Full Text: DOI arXiv
Cristiani, Emiliano; Iacomini, Elisa An interface-free multi-scale multi-order model for traffic flow. (English) Zbl 07115887 Discrete Contin. Dyn. Syst., Ser. B 24, No. 11, 6189-6207 (2019). MSC: 65C20 35M33 35L65 PDFBibTeX XMLCite \textit{E. Cristiani} and \textit{E. Iacomini}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 11, 6189--6207 (2019; Zbl 07115887) Full Text: DOI arXiv
Festa, Adriano; Göttlich, Simone; Pfirsching, Marion A model for a network of conveyor belts with discontinuous speed and capacity. (English) Zbl 1423.90077 Netw. Heterog. Media 14, No. 2, 389-410 (2019). MSC: 90B30 35L65 65M25 PDFBibTeX XMLCite \textit{A. Festa} et al., Netw. Heterog. Media 14, No. 2, 389--410 (2019; Zbl 1423.90077) Full Text: DOI arXiv
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
Liu, Hailiang; Gröpler, Robin; Warnecke, Gerald A high order positivity preserving DG method for coagulation-fragmentation equations. (English) Zbl 1426.65146 SIAM J. Sci. Comput. 41, No. 3, B448-B465 (2019). MSC: 65M60 65M12 65R20 35L65 82C22 PDFBibTeX XMLCite \textit{H. Liu} et al., SIAM J. Sci. Comput. 41, No. 3, B448--B465 (2019; Zbl 1426.65146) Full Text: DOI arXiv
Delpopolo Carciopolo, Ludovica; Bonaventura, Luca; Scotti, Anna; Formaggia, Luca A conservative implicit multirate method for hyperbolic problems. (English) Zbl 1420.65092 Comput. Geosci. 23, No. 4, 647-664 (2019). MSC: 65M08 35L45 35L65 65M12 PDFBibTeX XMLCite \textit{L. Delpopolo Carciopolo} et al., Comput. Geosci. 23, No. 4, 647--664 (2019; Zbl 1420.65092) Full Text: DOI arXiv
Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales Path-conservative central-upwind schemes for nonconservative hyperbolic systems. (English) Zbl 1418.76034 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 959-985 (2019). MSC: 76M12 65M08 35L65 35L67 86-08 PDFBibTeX XMLCite \textit{M. J. C. Díaz} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 959--985 (2019; Zbl 1418.76034) Full Text: DOI
Az-Zo’bi, Emad A. Solitary and periodic exact solutions of the viscosity-capillarity van der Waals gas equations. (English) Zbl 1416.35066 Appl. Appl. Math. 14, No. 1, 349-358 (2019). MSC: 35C07 35M30 35Q35 65Z05 35C08 35B10 PDFBibTeX XMLCite \textit{E. A. Az-Zo'bi}, Appl. Appl. Math. 14, No. 1, 349--358 (2019; Zbl 1416.35066) Full Text: Link
Seguin, Nicolas Stability of stationary solutions of singular systems of balance laws. (English) Zbl 1492.35163 Confluentes Math. 10, No. 2, 93-112 (2018). MSC: 35L65 35B25 35B35 35D30 35L60 65M08 PDFBibTeX XMLCite \textit{N. Seguin}, Confluentes Math. 10, No. 2, 93--112 (2018; Zbl 1492.35163) Full Text: DOI arXiv
Mishra, Siddhartha On the convergence of numerical schemes for hyperbolic systems of conservation laws. (English) Zbl 1454.65103 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3641-3668 (2018). MSC: 65M12 65M75 65C05 35L65 PDFBibTeX XMLCite \textit{S. Mishra}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3641--3668 (2018; Zbl 1454.65103) Full Text: DOI
Rathan, Samala; Naga Raju, G. A modified fifth-order WENO scheme for hyperbolic conservation laws. (English) Zbl 1409.65056 Comput. Math. Appl. 75, No. 5, 1531-1549 (2018). MSC: 65M06 65M12 35L45 PDFBibTeX XMLCite \textit{S. Rathan} and \textit{G. Naga Raju}, Comput. Math. Appl. 75, No. 5, 1531--1549 (2018; Zbl 1409.65056) Full Text: DOI arXiv
Costarelli, Danilo; Spigler, Renato An efficient asymptotic-numerical method to solve nonlinear systems of one-dimensional balance laws. (English) Zbl 1424.65150 Comput. Appl. Math. 37, No. 5, 6034-6052 (2018). MSC: 65M25 35L04 35L65 PDFBibTeX XMLCite \textit{D. Costarelli} and \textit{R. Spigler}, Comput. Appl. Math. 37, No. 5, 6034--6052 (2018; Zbl 1424.65150) Full Text: DOI
Guermond, Jean-Luc; de Luna, Manuel Quezada; Popov, Bojan; Kees, Christopher E.; Farthing, Matthew W. Well-balanced second-order finite element approximation of the shallow water equations with friction. (English) Zbl 1405.65120 SIAM J. Sci. Comput. 40, No. 6, A3873-A3901 (2018). MSC: 65M60 65M12 35L50 35L65 76M10 35Q35 76B15 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., SIAM J. Sci. Comput. 40, No. 6, A3873--A3901 (2018; Zbl 1405.65120) Full Text: DOI
Chetverushkin, B. N. Hyperbolic quasi-gas dynamic system. (Russian. English summary) Zbl 1413.76036 Mat. Model. 30, No. 2, 81-98 (2018). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76N15 35L51 65Y10 80A30 82D05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin}, Mat. Model. 30, No. 2, 81--98 (2018; Zbl 1413.76036) Full Text: Link
Meng, Xiong; Ryan, Jennifer K. Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws. (English) Zbl 1412.65153 IMA J. Numer. Anal. 38, No. 1, 125-155 (2018). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M12 35L65 35Q31 86A10 PDFBibTeX XMLCite \textit{X. Meng} and \textit{J. K. Ryan}, IMA J. Numer. Anal. 38, No. 1, 125--155 (2018; Zbl 1412.65153) Full Text: DOI Link
Abdelrahman, Mahmoud A. E. Cone-grid scheme for solving hyperbolic systems of conservation laws and one application. (English) Zbl 1435.65151 Comput. Appl. Math. 37, No. 3, 3503-3513 (2018). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65M25 35L45 35L60 35L65 35L67 65M06 65M12 76L05 PDFBibTeX XMLCite \textit{M. A. E. Abdelrahman}, Comput. Appl. Math. 37, No. 3, 3503--3513 (2018; Zbl 1435.65151) Full Text: DOI
Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Tomas, Ignacio Second-order invariant domain preserving approximation of the Euler equations using convex limiting. (English) Zbl 1402.65110 SIAM J. Sci. Comput. 40, No. 5, A3211-A3239 (2018). MSC: 65M60 65M12 35L65 35L45 76N99 35B50 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., SIAM J. Sci. Comput. 40, No. 5, A3211--A3239 (2018; Zbl 1402.65110) Full Text: DOI arXiv
Costarelli, Danilo; Spigler, Renato Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation. (English) Zbl 1395.65115 Comput. Appl. Math. 37, No. 1, 99-133 (2018). MSC: 65M99 41A30 35L65 65M15 PDFBibTeX XMLCite \textit{D. Costarelli} and \textit{R. Spigler}, Comput. Appl. Math. 37, No. 1, 99--133 (2018; Zbl 1395.65115) Full Text: DOI
Kotyczka, Paul; Maschke, Bernhard; Lefèvre, Laurent Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems. (English) Zbl 1422.65446 J. Comput. Phys. 361, 442-476 (2018). MSC: 65N99 35L65 35Q35 65N30 PDFBibTeX XMLCite \textit{P. Kotyczka} et al., J. Comput. Phys. 361, 442--476 (2018; Zbl 1422.65446) Full Text: DOI arXiv
Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária Well-balanced schemes for the shallow water equations with Coriolis forces. (English) Zbl 1448.65097 Numer. Math. 138, No. 4, 939-973 (2018). MSC: 65M06 65N08 35L45 35L65 65M25 65M15 76B15 76U60 76U65 35Q86 86A05 65J10 PDFBibTeX XMLCite \textit{A. Chertock} et al., Numer. Math. 138, No. 4, 939--973 (2018; Zbl 1448.65097) Full Text: DOI
Barker, Blake; Jung, Soyeun; Zumbrun, Kevin Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves. (English) Zbl 1380.65428 Physica D 367, 11-18 (2018). MSC: 65P40 35B35 35B10 35B32 35L65 PDFBibTeX XMLCite \textit{B. Barker} et al., Physica D 367, 11--18 (2018; Zbl 1380.65428) Full Text: DOI arXiv
Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Rieben, R.; Tomov, V. Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. (English) Zbl 1380.65257 J. Comput. Phys. 356, 372-390 (2018). MSC: 65M60 35L65 76M10 PDFBibTeX XMLCite \textit{V. Dobrev} et al., J. Comput. Phys. 356, 372--390 (2018; Zbl 1380.65257) Full Text: DOI Link
Betancourt, Fernando; Bürger, Raimund; Chalons, Christophe; Diehl, Stefan; Farås, Sebastian A random sampling method for a family of temple-class systems of conservation laws. (English) Zbl 1405.65139 Numer. Math. 138, No. 1, 37-73 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M99 90B20 35L65 35L45 65M12 65M75 PDFBibTeX XMLCite \textit{F. Betancourt} et al., Numer. Math. 138, No. 1, 37--73 (2018; Zbl 1405.65139) Full Text: DOI