Gowda, G. D. Veerappa; Kenettinkara, Sudarshan Kumar; Manoj, Nikhil Convergence of a second-order scheme for non-local conservation laws. (English) Zbl 07792492 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3439-3481 (2023). MSC: 65M12 35L65 76A30 65M08 PDFBibTeX XMLCite \textit{G. D. V. Gowda} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3439--3481 (2023; Zbl 07792492) Full Text: DOI
Rosales-Alcantar, Cesar Alberto; Hernández-Dueñas, Gerardo A new two-dimensional blood flow model with arbitrary cross sections. (English) Zbl 07737669 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1657-1690 (2023). MSC: 35Q92 35Q35 92C35 76D05 76Z05 74F10 74K15 35L65 35B40 35B09 65M06 PDFBibTeX XMLCite \textit{C. A. Rosales-Alcantar} and \textit{G. Hernández-Dueñas}, ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1657--1690 (2023; Zbl 07737669) Full Text: DOI arXiv
Chen, Yiming; Kurganov, Alexander; Na, Mingye A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels. (English) Zbl 1524.76239 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1087-1110 (2023). MSC: 76M12 65M08 86-08 35L65 35L67 76B10 PDFBibTeX XMLCite \textit{Y. Chen} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1087--1110 (2023; Zbl 1524.76239) Full Text: DOI
Abgrall, Remi; Barsukow, Wasilij Extensions of active flux to arbitrary order of accuracy. (English) Zbl 1518.65080 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 991-1027 (2023). MSC: 65M06 65N06 65M08 65N08 65M60 65N30 35L65 35D30 35Q31 PDFBibTeX XMLCite \textit{R. Abgrall} and \textit{W. Barsukow}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 991--1027 (2023; Zbl 1518.65080) Full Text: DOI arXiv
Corli, Andrea; Razafison, Ulrich; Rosini, Massimiliano D. Coherence and flow-maximization of a one-way valve. (English) Zbl 1498.35357 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1715-1739 (2022). MSC: 35L65 35L67 35Q31 76B75 PDFBibTeX XMLCite \textit{A. Corli} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1715--1739 (2022; Zbl 1498.35357) Full Text: DOI arXiv
Jiao, Mengjiao; Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws. (English) Zbl 1497.65174 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1401-1435 (2022). MSC: 65M60 65M12 65M15 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{M. Jiao} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1401--1435 (2022; Zbl 1497.65174) 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
Sylla, Abraham A LWR model with constraints at moving interfaces. (English) Zbl 1492.35164 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1081-1114 (2022). MSC: 35L65 35L03 76A30 65M08 PDFBibTeX XMLCite \textit{A. Sylla}, ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1081--1114 (2022; Zbl 1492.35164) Full Text: DOI
Friedrich, Jan; Göttlich, Simone; Osztfalk, Maximilian Network models for nonlocal traffic flow. (English) Zbl 1484.35284 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 213-235 (2022). MSC: 35L65 65M12 76A30 90B20 PDFBibTeX XMLCite \textit{J. Friedrich} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 1, 213--235 (2022; Zbl 1484.35284) Full Text: DOI arXiv
Audusse, Emmanuel; Boittin, Léa; Parisot, Martin Asymptotic derivation and simulations of a non-local exner model in large viscosity regime. (English) Zbl 1506.35152 ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1635-1668 (2021). MSC: 35Q35 76D05 76T06 86A05 74M10 35L65 65C20 65M08 65N50 35R25 PDFBibTeX XMLCite \textit{E. Audusse} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1635--1668 (2021; Zbl 1506.35152) Full Text: DOI
Remesan, Gopikrishnan Chirappurathu Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws and application to a tumour growth model. (English) Zbl 1491.65082 ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1405-1437 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 35L65 92C37 92C50 76D07 35J05 35Q92 PDFBibTeX XMLCite \textit{G. C. Remesan}, ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1405--1437 (2021; Zbl 1491.65082) Full Text: DOI arXiv
Colombo, Maria; Crippa, Gianluca; Graff, Marie; Spinolo, Laura V. On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws. (English) Zbl 07477259 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2705-2723 (2021). MSC: 65-XX 35L65 65M12 PDFBibTeX XMLCite \textit{M. Colombo} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2705--2723 (2021; Zbl 07477259) Full Text: DOI arXiv
Badwaik, Jayesh; Klingenberg, Christian; Risebro, Nils Henrik; Ruf, Adrian M. Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux. (English) Zbl 1509.65081 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1039-1065 (2021). MSC: 65M08 65C05 65M12 65M15 62F15 35L65 35A01 35A02 35Q35 35R05 35R60 PDFBibTeX XMLCite \textit{J. Badwaik} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1039--1065 (2021; Zbl 1509.65081) Full Text: DOI arXiv
Ehrlacher, Virginie; Lombardi, Damiano; Mula, Olga; Vialard, François-Xavier Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces. (English) Zbl 1476.65267 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2159-2197 (2020). MSC: 65M70 65M06 65N35 65M12 65M22 65D40 PDFBibTeX XMLCite \textit{V. Ehrlacher} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2159--2197 (2020; Zbl 1476.65267) Full Text: DOI arXiv
Chatterjee, Neelabja; Fjordholm, Ulrik Skre Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. (English) Zbl 1446.65088 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1415-1428 (2020). MSC: 65M08 65M12 35L65 35D30 35B34 PDFBibTeX XMLCite \textit{N. Chatterjee} and \textit{U. S. Fjordholm}, ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1415--1428 (2020; Zbl 1446.65088) Full Text: DOI arXiv
Rossi, Elena; Weißen, Jennifer; Goatin, Paola; Göttlich, Simone Well-posedness of a non-local model for material flow on conveyor belts. (English) Zbl 1434.65151 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 679-704 (2020). MSC: 65M08 65M12 35L65 PDFBibTeX XMLCite \textit{E. Rossi} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 2, 679--704 (2020; Zbl 1434.65151) Full Text: DOI arXiv
Coclite, Giuseppe Maria; Gargano, Francesco; Sciacca, Vincenzo Up-wind difference approximation and singularity formation for a slow erosion model. (English) Zbl 1434.76083 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 465-492 (2020). MSC: 76M20 76T25 65M12 35A20 35L65 65M06 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 2, 465--492 (2020; Zbl 1434.76083) Full Text: DOI
Gouasmi, Ayoub; Duraisamy, Karthik; Murman, Scott M.; Tadmor, Eitan A minimum entropy principle in the compressible multicomponent Euler equations. (English) Zbl 1434.76101 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 373-389 (2020). MSC: 76N10 76N15 35Q31 35L65 65M12 PDFBibTeX XMLCite \textit{A. Gouasmi} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 2, 373--389 (2020; Zbl 1434.76101) Full Text: DOI arXiv
Allgeyer, Sebastien; Bristeau, Marie-Odile; Froger, David; Hamouda, Raouf; Jauzein, V.; Mangeney, Anne; Sainte-Marie, Jacques; Souillé, Fabien; Valée, Martin Numerical approximation of the 3D hydrostatic Navier-Stokes system with free surface. (English) Zbl 1434.65147 ESAIM, Math. Model. Numer. Anal. 53, No. 6, 1981-2024 (2019). MSC: 65M08 65M12 76M12 35L65 35Q30 35Q35 76D05 35Q31 76B15 35R35 65M60 PDFBibTeX XMLCite \textit{S. Allgeyer} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 6, 1981--2024 (2019; Zbl 1434.65147) Full Text: DOI arXiv
Hernandez-Duenas, Gerardo; Velasco-García, Ulises; Velasco-Hernández, Jorge X. A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes. (English) Zbl 1431.35088 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1433-1457 (2019). MSC: 35L65 76M12 65M08 76T25 PDFBibTeX XMLCite \textit{G. Hernandez-Duenas} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1433--1457 (2019; Zbl 1431.35088) Full Text: DOI
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
Hesthaven, Jan S.; Mönkeberg, Fabian Entropy stable essentially nonoscillatory methods based on RBF reconstruction. (English) Zbl 1437.35484 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 925-958 (2019). Reviewer: Jan Glaubitz (Hanover) MSC: 35L65 65M12 65M06 65M08 65D05 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{F. Mönkeberg}, ESAIM, Math. Model. Numer. Anal. 53, No. 3, 925--958 (2019; Zbl 1437.35484) Full Text: DOI
Zakerzadeh, Hamed Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension. (English) Zbl 1450.65098 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 893-924 (2019). MSC: 65M08 35L65 35L81 65M12 65M15 65M06 76B15 65F35 PDFBibTeX XMLCite \textit{H. Zakerzadeh}, ESAIM, Math. Model. Numer. Anal. 53, No. 3, 893--924 (2019; Zbl 1450.65098) Full Text: DOI HAL
James, François; Lagrée, Pierre-Yves; Le, Minh H.; Legrand, Mathilde Towards a new friction model for shallow water equations through an interactive viscous layer. (English) Zbl 1426.35151 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 269-299 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L60 35L65 35Q35 65M08 76N17 PDFBibTeX XMLCite \textit{F. James} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 1, 269--299 (2019; Zbl 1426.35151) Full Text: DOI arXiv
Zhou, Lingling; Xia, Yinhua; Shu, Chi-Wang Stability analysis and error estimates of arbitrary Lagrangian-Eulerian discontinuous Galerkin method coupled with Runge-Kutta time-marching for linear conservation laws. (English) Zbl 1418.65141 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 105-144 (2019). MSC: 65M60 35L65 65M12 65L06 PDFBibTeX XMLCite \textit{L. Zhou} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 1, 105--144 (2019; Zbl 1418.65141) Full Text: DOI
Dal Santo, Edda; Donadello, Carlotta; Pellegrino, Sabrina F.; Rosini, Massimiliano D. Representation of capacity drop at a road merge via point constraints in a first order traffic model. (English) Zbl 1420.35156 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 1-34 (2019). MSC: 35L65 35R02 90B20 76M12 65M08 35A35 PDFBibTeX XMLCite \textit{E. Dal Santo} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 1, 1--34 (2019; Zbl 1420.35156) Full Text: DOI
Öffner, Philipp; Glaubitz, Jan; Ranocha, Hendrik Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers’ equation using a polynomial chaos approach. (English) Zbl 1420.65094 ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2215-2245 (2018). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M12 65M70 65M60 65M08 65M06 35Q53 PDFBibTeX XMLCite \textit{P. Öffner} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2215--2245 (2018; Zbl 1420.65094) Full Text: DOI arXiv
Godlewski, Edwige; Parisot, Martin; Sainte-Marie, Jacques; Wahl, Fabien Congested shallow water model: roof modeling in free surface flow. (English) Zbl 1417.35121 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1679-1707 (2018). MSC: 35Q35 35L65 76B07 76M12 74F10 35R35 65M08 76D05 PDFBibTeX XMLCite \textit{E. Godlewski} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1679--1707 (2018; Zbl 1417.35121) Full Text: DOI
Aregba-Driollet, D.; Breil, J.; Brull, S.; Dubroca, B.; Estibals, E. Modelling and numerical approximation for the nonconservative bitemperature Euler model. (English) Zbl 1417.65158 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1353-1383 (2018). Reviewer: Kai Schneider (Marseille) MSC: 65M08 35L60 35L65 82D10 PDFBibTeX XMLCite \textit{D. Aregba-Driollet} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1353--1383 (2018; Zbl 1417.65158) Full Text: DOI HAL
Prebeg, Marin; Flåtten, Tore; Müller, Bernhard Large time step HLL and HLLC schemes. (English) Zbl 1417.65160 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1239-1260 (2018). Reviewer: Kai Schneider (Marseille) MSC: 65M08 35L65 65Y20 35Q31 PDFBibTeX XMLCite \textit{M. Prebeg} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1239--1260 (2018; Zbl 1417.65160) Full Text: DOI Link
Räbinä, Jukka; Kettunen, Lauri; Mönkölä, Sanna; Rossi, Tuomo Generalized wave propagation problems and discrete exterior calculus. (English) Zbl 1404.35288 ESAIM, Math. Model. Numer. Anal. 52, No. 3, 1195-1218 (2018). MSC: 35L65 58A10 58A14 58J32 58J90 65M06 65M12 65M22 PDFBibTeX XMLCite \textit{J. Räbinä} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 3, 1195--1218 (2018; Zbl 1404.35288) Full Text: DOI Link
Chiarello, Felisia Angela; Goatin, Paola Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. (English) Zbl 1395.35142 ESAIM, Math. Model. Numer. Anal. 52, No. 1, 163-180 (2018). MSC: 35L65 65M12 35D30 90B20 PDFBibTeX XMLCite \textit{F. A. Chiarello} and \textit{P. Goatin}, ESAIM, Math. Model. Numer. Anal. 52, No. 1, 163--180 (2018; Zbl 1395.35142) Full Text: DOI HAL
Chalons, Christophe; Rohde, Christian; Wiebe, Maria A finite volume method for undercompressive shock waves in two space dimensions. (English) Zbl 1397.76086 ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1987-2015 (2017). MSC: 76M12 65M08 35L65 35L67 76L05 PDFBibTeX XMLCite \textit{C. Chalons} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1987--2015 (2017; Zbl 1397.76086) Full Text: DOI
Guisset, Sébastien; Brull, Stéphane; D’humières, Emmanuel; Dubroca, Bruno Asymptotic-preserving well-balanced scheme for the electronic \(M_1\) model in the diffusive limit: particular cases. (English) Zbl 1406.78021 ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1805-1826 (2017). Reviewer: Roland Pulch (Greifswald) MSC: 78M20 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{S. Guisset} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1805--1826 (2017; Zbl 1406.78021) Full Text: DOI
Zakerzadeh, Hamed On the Mach-uniformity of the Lagrange-projection scheme. (English) Zbl 1517.65078 ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1343-1366 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 35L81 35L65 35B35 35C20 76B15 PDFBibTeX XMLCite \textit{H. Zakerzadeh}, ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1343--1366 (2017; Zbl 1517.65078) Full Text: DOI Link
Sun, Zheng; Shu, Chi-Wang Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws. (English) Zbl 1373.65063 ESAIM, Math. Model. Numer. Anal. 51, No. 3, 1063-1087 (2017). Reviewer: Charis Harley (Johannesburg) MSC: 65M12 65M15 65M60 35L65 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{C.-W. Shu}, ESAIM, Math. Model. Numer. Anal. 51, No. 3, 1063--1087 (2017; Zbl 1373.65063) Full Text: DOI
Cacace, Simone; Cristiani, Emiliano; Ferretti, Roberto Blended numerical schemes for the advection equation and conservation laws. (English) Zbl 1369.65098 ESAIM, Math. Model. Numer. Anal. 51, No. 3, 997-1019 (2017). MSC: 65M06 35L03 35L65 65M75 65M12 PDFBibTeX XMLCite \textit{S. Cacace} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 3, 997--1019 (2017; Zbl 1369.65098) Full Text: DOI arXiv
Aguillon, Nina; Chalons, Christophe Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics. (English) Zbl 1388.76163 ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1887-1916 (2016). MSC: 76M12 65M08 35L45 35L65 76N15 PDFBibTeX XMLCite \textit{N. Aguillon} and \textit{C. Chalons}, ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1887--1916 (2016; Zbl 1388.76163) Full Text: DOI HAL
Dutta, Rajib; Koley, Ujjwal; Ray, Deep Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient. (English) Zbl 1373.65054 ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1289-1331 (2016). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M06 35L65 65M12 35L67 35R05 PDFBibTeX XMLCite \textit{R. Dutta} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1289--1331 (2016; Zbl 1373.65054) Full Text: DOI arXiv
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D. Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks. (English) Zbl 1370.65042 ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1269-1287 (2016). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M08 35L65 90B20 65M12 76M12 PDFBibTeX XMLCite \textit{B. Andreianov} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1269--1287 (2016; Zbl 1370.65042) Full Text: DOI arXiv
Morin, Alexandre; Flåtten, Tore A two-fluid four-equation model with instantaneous thermodynamical equilibrium. (English) Zbl 1346.76196 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1167-1192 (2016). MSC: 76T10 35L65 PDFBibTeX XMLCite \textit{A. Morin} and \textit{T. Flåtten}, ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1167--1192 (2016; Zbl 1346.76196) Full Text: DOI
Rossi, Elena; Schleper, Veronika Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions. (English) Zbl 1347.65145 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 475-497 (2016). Reviewer: Michael Jung (Dresden) MSC: 65M12 35M30 65M06 65M08 PDFBibTeX XMLCite \textit{E. Rossi} and \textit{V. Schleper}, ESAIM, Math. Model. Numer. Anal. 50, No. 2, 475--497 (2016; Zbl 1347.65145) Full Text: DOI
Luo, Juan; Shu, Chi-Wang; Zhang, Qiang A priori error estimates to smooth solutions of the third order Runge-Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws. (English) Zbl 1327.65193 ESAIM, Math. Model. Numer. Anal. 49, No. 4, 991-1018 (2015). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{J. Luo} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 4, 991--1018 (2015; Zbl 1327.65193) Full Text: DOI
Taddei, T.; Perotto, S.; Quarteroni, A. Reduced basis techniques for nonlinear conservation laws. (English) Zbl 1316.65079 ESAIM, Math. Model. Numer. Anal. 49, No. 3, 787-814 (2015). MSC: 65M08 35L65 35L67 65M15 65M12 PDFBibTeX XMLCite \textit{T. Taddei} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 3, 787--814 (2015; Zbl 1316.65079) Full Text: DOI
Solem, Susanne; Aursand, Peder; Flåtten, Tore The dispersive wave dynamics of a two-phase flow relaxation model. (English) Zbl 1316.35193 ESAIM, Math. Model. Numer. Anal. 49, No. 2, 601-619 (2015). MSC: 35L65 15A18 76T10 35Q31 35B25 PDFBibTeX XMLCite \textit{S. Solem} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 2, 601--619 (2015; Zbl 1316.35193) Full Text: DOI
Vilar, François; Shu, Chi-Wang Development and stability analysis of the inverse Lax-Wendroff boundary treatment for central compact schemes. (English) Zbl 1311.65116 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 39-67 (2015). MSC: 65M12 65M20 65M06 PDFBibTeX XMLCite \textit{F. Vilar} and \textit{C.-W. Shu}, ESAIM, Math. Model. Numer. Anal. 49, No. 1, 39--67 (2015; Zbl 1311.65116) Full Text: DOI
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia On the numerical integration of scalar nonlocal conservation laws. (English) Zbl 1317.65165 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 19-37 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{P. Amorim} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 1, 19--37 (2015; Zbl 1317.65165) Full Text: DOI arXiv Link
Adimurthi; Dutta, Rajib; Gowda, G. D. Veerappa; Jaffré, Jérôme Monotone (A,B) entropy stable numerical scheme for scalar conservation laws with discontinuous flux. (English) Zbl 1308.65135 ESAIM, Math. Model. Numer. Anal. 48, No. 6, 1725-1755 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{Adimurthi} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 6, 1725--1755 (2014; Zbl 1308.65135) Full Text: DOI
Berthon, Christophe; Coudière, Yves; Desveaux, Vivien Second-order MUSCL schemes based on dual mesh gradient reconstruction (DMGR). (English) Zbl 1302.65183 ESAIM, Math. Model. Numer. Anal. 48, No. 2, 583-602 (2014). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M06 65M12 35L65 65M50 PDFBibTeX XMLCite \textit{C. Berthon} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 2, 583--602 (2014; Zbl 1302.65183) Full Text: DOI
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas Interface model coupling via prescribed local flux balance. (English) Zbl 1292.35166 ESAIM, Math. Model. Numer. Anal. 48, No. 3, 895-918 (2014). MSC: 35L50 35L60 35L65 35L67 35L81 76M12 35Q31 PDFBibTeX XMLCite \textit{A. Ambroso} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 3, 895--918 (2014; Zbl 1292.35166) Full Text: DOI
Weynans, Lisl; Magni, Adrien Consistency, accuracy and entropy behaviour of remeshed particle methods. (English) Zbl 1278.65136 ESAIM, Math. Model. Numer. Anal. 47, No. 1, 57-81 (2013). Reviewer: Fernando Casas (Castellon) MSC: 65M12 65M75 35L65 35Q53 65M15 PDFBibTeX XMLCite \textit{L. Weynans} and \textit{A. Magni}, ESAIM, Math. Model. Numer. Anal. 47, No. 1, 57--81 (2013; Zbl 1278.65136) Full Text: DOI
Schwab, Christoph; Tokareva, Svetlana High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data. (English) Zbl 1266.65008 ESAIM, Math. Model. Numer. Anal. 47, No. 3, 807-835 (2013). MSC: 65C30 65M08 65M12 65M70 65M75 PDFBibTeX XMLCite \textit{C. Schwab} and \textit{S. Tokareva}, ESAIM, Math. Model. Numer. Anal. 47, No. 3, 807--835 (2013; Zbl 1266.65008) Full Text: DOI
Fjordholm, Ulrik Skre; Mishra, Siddhartha Accurate numerical discretizations of non-conservative hyperbolic systems. (English) Zbl 1272.65064 ESAIM, Math. Model. Numer. Anal. 46, No. 1, 187-206 (2012). MSC: 65M06 35L65 35Q31 76N15 76M20 PDFBibTeX XMLCite \textit{U. S. Fjordholm} and \textit{S. Mishra}, ESAIM, Math. Model. Numer. Anal. 46, No. 1, 187--206 (2012; Zbl 1272.65064) Full Text: DOI
Mishra, Siddhartha; Tadmor, Eitan Constraint preserving schemes using potential-based fluxes. III: Genuinely multi-dimensional schemes for MHD equations. (English) Zbl 1310.76119 ESAIM, Math. Model. Numer. Anal. 46, No. 3, 661-680 (2012). MSC: 76M20 65M06 35L65 PDFBibTeX XMLCite \textit{S. Mishra} and \textit{E. Tadmor}, ESAIM, Math. Model. Numer. Anal. 46, No. 3, 661--680 (2012; Zbl 1310.76119) Full Text: DOI
Carles, Rémi; Mohammadi, Bijan Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. (English) Zbl 1269.65104 ESAIM, Math. Model. Numer. Anal. 45, No. 5, 981-1008 (2011). MSC: 65M70 35Q55 35L65 35L67 81Q05 81Q20 PDFBibTeX XMLCite \textit{R. Carles} and \textit{B. Mohammadi}, ESAIM, Math. Model. Numer. Anal. 45, No. 5, 981--1008 (2011; Zbl 1269.65104) Full Text: DOI arXiv
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D. On the modelling and management of traffic. (English) Zbl 1267.90032 ESAIM, Math. Model. Numer. Anal. 45, No. 5, 853-872 (2011). MSC: 90B20 35L65 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., ESAIM, Math. Model. Numer. Anal. 45, No. 5, 853--872 (2011; Zbl 1267.90032) Full Text: DOI
Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. (English) Zbl 1267.76068 ESAIM, Math. Model. Numer. Anal. 45, No. 3, 423-446 (2011). MSC: 76M12 35L65 PDFBibTeX XMLCite \textit{S. Bryson} et al., ESAIM, Math. Model. Numer. Anal. 45, No. 3, 423--446 (2011; Zbl 1267.76068) Full Text: DOI
Giesselmann, Jan A convergence result for finite volume schemes on Riemannian manifolds. (English) Zbl 1173.74454 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 929-955 (2009). MSC: 74S10 35L65 58J45 PDFBibTeX XMLCite \textit{J. Giesselmann}, ESAIM, Math. Model. Numer. Anal. 43, No. 5, 929--955 (2009; Zbl 1173.74454) Full Text: DOI EuDML
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. Stable upwind schemes for the magnetic induction equation. (English) Zbl 1177.78057 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 825-852 (2009). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78M20 65M12 35L65 76W05 PDFBibTeX XMLCite \textit{F. G. Fuchs} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 5, 825--852 (2009; Zbl 1177.78057) Full Text: DOI EuDML
Chertock, Alina; Karni, Smadar; Kurganov, Alexander Interface tracking method for compressible multifluids. (English) Zbl 1232.76030 ESAIM, Math. Model. Numer. Anal. 42, No. 6, 991-1019 (2008). MSC: 76M12 76N15 35L65 35L67 PDFBibTeX XMLCite \textit{A. Chertock} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 6, 991--1019 (2008; Zbl 1232.76030) Full Text: DOI EuDML
Martin, Sébastien; Vovelle, Julien Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function. (English) Zbl 1155.65071 ESAIM, Math. Model. Numer. Anal. 42, No. 5, 699-727 (2008). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M12 35L65 65M06 PDFBibTeX XMLCite \textit{S. Martin} and \textit{J. Vovelle}, ESAIM, Math. Model. Numer. Anal. 42, No. 5, 699--727 (2008; Zbl 1155.65071) Full Text: DOI EuDML
Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. (English) Zbl 1139.76048 ESAIM, Math. Model. Numer. Anal. 42, No. 3, 425-442 (2008). MSC: 76N10 76M12 35Q35 76L05 35L65 PDFBibTeX XMLCite \textit{D. Kröner} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 3, 425--442 (2008; Zbl 1139.76048) Full Text: DOI arXiv EuDML
Merkle, Christian; Rohde, Christian The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. (English) Zbl 1134.35074 ESAIM, Math. Model. Numer. Anal. 41, No. 6, 1089-1123 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L65 35Q35 35A35 35M10 76T10 PDFBibTeX XMLCite \textit{C. Merkle} and \textit{C. Rohde}, ESAIM, Math. Model. Numer. Anal. 41, No. 6, 1089--1123 (2007; Zbl 1134.35074) Full Text: DOI Numdam EuDML
Muñoz-Ruiz, María Luz; Parés, Carlos Godunov method for nonconservative hyperbolic systems. (English) Zbl 1124.65077 ESAIM, Math. Model. Numer. Anal. 41, No. 1, 169-185 (2007). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M06 35L60 65M12 PDFBibTeX XMLCite \textit{M. L. Muñoz-Ruiz} and \textit{C. Parés}, ESAIM, Math. Model. Numer. Anal. 41, No. 1, 169--185 (2007; Zbl 1124.65077) Full Text: DOI Numdam EuDML
Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter Conservation law constrained optimization based upon Front-Tracking. (English) Zbl 1116.65079 ESAIM, Math. Model. Numer. Anal. 40, No. 5, 939-960 (2006). Reviewer: Fuhua Ling (Milpitas) MSC: 65K10 49J20 76N15 35L65 PDFBibTeX XMLCite \textit{M. Gugat} et al., ESAIM, Math. Model. Numer. Anal. 40, No. 5, 939--960 (2006; Zbl 1116.65079) Full Text: DOI Numdam EuDML
Antontsev, Stanislav N.; Gagneux, Gérard; Luce, Robert; Vallet, Guy New unilateral problems in stratigraphy. (English) Zbl 1133.35388 ESAIM, Math. Model. Numer. Anal. 40, No. 4, 765-784 (2006). MSC: 35K65 35L80 74L05 76S05 86A60 PDFBibTeX XMLCite \textit{S. N. Antontsev} et al., ESAIM, Math. Model. Numer. Anal. 40, No. 4, 765--784 (2006; Zbl 1133.35388) Full Text: DOI Numdam EuDML
Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. (English) Zbl 1095.65084 ESAIM, Math. Model. Numer. Anal. 39, No. 4, 649-692 (2005). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M06 35L50 35L65 65M12 76N15 76X05 76M12 PDFBibTeX XMLCite \textit{E. Godlewski} et al., ESAIM, Math. Model. Numer. Anal. 39, No. 4, 649--692 (2005; Zbl 1095.65084) Full Text: DOI Numdam EuDML
Breuss, Michael An analysis of the influence of data extrema on some first and second order central approximations of hyperbolic conservation laws. (English) Zbl 1077.35089 ESAIM, Math. Model. Numer. Anal. 39, No. 5, 965-993 (2005). Reviewer: Qin Mengzhao (Beijing) MSC: 35L65 65M06 65M12 PDFBibTeX XMLCite \textit{M. Breuss}, ESAIM, Math. Model. Numer. Anal. 39, No. 5, 965--993 (2005; Zbl 1077.35089) Full Text: DOI Numdam EuDML
Evje, Steinar; Flåtten, Tore Hybrid central-upwind schemes for numerical resolution of two-phase flows. (English) Zbl 1130.76057 ESAIM, Math. Model. Numer. Anal. 39, No. 2, 253-273 (2005). MSC: 76M20 76N10 76T10 65M06 35L65 PDFBibTeX XMLCite \textit{S. Evje} and \textit{T. Flåtten}, ESAIM, Math. Model. Numer. Anal. 39, No. 2, 253--273 (2005; Zbl 1130.76057) Full Text: DOI Numdam EuDML