Zhao, Weifeng On strictly convex Entropy functions for the reactive Euler equations. (English) Zbl 07787592 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2659-2679 (2023). MSC: 35Q31 76N15 76N10 76V05 76L05 80A25 80A32 35L45 65M08 65L06 65M12 PDFBibTeX XMLCite \textit{W. Zhao}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2659--2679 (2023; Zbl 07787592) Full Text: DOI
Bécache, Éliane; Kachanovska, Maryna; Wess, Markus Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides. (English) Zbl 1522.35491 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2451-2491 (2023). MSC: 35Q61 35L05 78A40 78A50 65M60 65M06 65N30 65L06 65M12 65M15 78M10 PDFBibTeX XMLCite \textit{É. Bécache} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2451--2491 (2023; Zbl 1522.35491) Full Text: DOI
Izgin, Thomas; Öffner, Philipp A study of the local dynamics of modified Patankar DeC and higher order modified Patankar-RK methods. (English) Zbl 1525.65067 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2319-2348 (2023). MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{T. Izgin} and \textit{P. Öffner}, ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2319--2348 (2023; Zbl 1525.65067) Full Text: DOI arXiv
Zhang, Hong; Qian, Xu; Xia, Jun; Song, Songhe Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions. (English) Zbl 1522.65127 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1619-1655 (2023). MSC: 65L06 65L20 65M12 35B50 PDFBibTeX XMLCite \textit{H. Zhang} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1619--1655 (2023; Zbl 1522.65127) Full Text: DOI
Huang, Juntao; Izgin, Thomas; Kopecz, Stefan; Meister, Andreas; Shu, Chi-Wang On the stability of strong-stability-preserving modified Patankar-Runge-Kutta schemes. (English) Zbl 1515.65192 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1063-1086 (2023). MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{J. Huang} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1063--1086 (2023; Zbl 1515.65192) Full Text: DOI arXiv
An, Jing; Cao, Waixiang Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation. (English) Zbl 07689052 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 367-394 (2023). MSC: 65M70 65M60 65L06 65N30 65N35 65M15 65M12 PDFBibTeX XMLCite \textit{J. An} and \textit{W. Cao}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 367--394 (2023; Zbl 07689052) Full Text: DOI
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev Positivity-preserving methods for ordinary differential equations. (English) Zbl 1508.65079 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1843-1870 (2022). MSC: 65L05 65L04 65L06 65L20 65P10 PDFBibTeX XMLCite \textit{S. Blanes} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1843--1870 (2022; Zbl 1508.65079) Full Text: DOI arXiv
Izgin, Thomas; Kopecz, Stefan; Meister, Andreas On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar-Runge-Kutta schemes. (English) Zbl 1492.65191 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1053-1080 (2022). MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{T. Izgin} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1053--1080 (2022; Zbl 1492.65191) Full Text: DOI arXiv
Dujardin, Guillaume; Lacroix-Violet, Ingrid High order linearly implicit methods for evolution equations. (English) Zbl 1503.65260 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 743-766 (2022). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65M70 65N06 65L20 65L06 65M12 81Q05 35Q41 35Q55 35K05 PDFBibTeX XMLCite \textit{G. Dujardin} and \textit{I. Lacroix-Violet}, ESAIM, Math. Model. Numer. Anal. 56, No. 3, 743--766 (2022; Zbl 1503.65260) Full Text: DOI arXiv
Burman, Erik; Guzmán, Johnny Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. (English) Zbl 07488297 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 349-383 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65B05 PDFBibTeX XMLCite \textit{E. Burman} and \textit{J. Guzmán}, ESAIM, Math. Model. Numer. Anal. 56, No. 1, 349--383 (2022; Zbl 07488297) Full Text: DOI arXiv
Bertaglia, Giulia; Pareschi, Lorenzo Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. (English) Zbl 1472.65105 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 381-407 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65L04 65L06 35L50 35K57 82C40 92D30 PDFBibTeX XMLCite \textit{G. Bertaglia} and \textit{L. Pareschi}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 381--407 (2021; Zbl 1472.65105) Full Text: DOI arXiv
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. (English) Zbl 1471.65137 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849-1882 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 65M60 35L03 35Q40 35Q49 60H35 65D32 65L06 65M12 65M75 65M70 81Q20 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849--1882 (2020; Zbl 1471.65137) Full Text: DOI arXiv
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using \(P^k\) elements. (English) Zbl 1439.65115 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 705-726 (2020). MSC: 65M60 65M15 65L06 65M06 PDFBibTeX XMLCite \textit{Y. Liu} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 2, 705--726 (2020; Zbl 1439.65115) Full Text: DOI
Antonopoulou, Dimitra; Plexousakis, Michael A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain. (English) Zbl 1426.65138 ESAIM, Math. Model. Numer. Anal. 53, No. 2, 523-549 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M15 65M12 65M60 35K05 35Q79 65L06 PDFBibTeX XMLCite \textit{D. Antonopoulou} and \textit{M. Plexousakis}, ESAIM, Math. Model. Numer. Anal. 53, No. 2, 523--549 (2019; Zbl 1426.65138) Full Text: DOI Link
Matthes, Daniel; Plazotta, Simon A variational formulation of the BDF2 method for metric gradient flows. (English) Zbl 1416.65150 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 145-172 (2019). MSC: 65J08 34G25 35A15 35G25 35K46 65L06 PDFBibTeX XMLCite \textit{D. Matthes} and \textit{S. Plazotta}, ESAIM, Math. Model. Numer. Anal. 53, No. 1, 145--172 (2019; Zbl 1416.65150) 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
Liu, Hailiang; Wen, Hairui Error estimates of the third order Runge-Kutta alternating evolution discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 1422.65261 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1709-1732 (2018). Reviewer: Takaharu Yaguchi (Kobe) MSC: 65M60 65M15 65M12 35K20 65L06 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Wen}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1709--1732 (2018; Zbl 1422.65261) Full Text: DOI Link
Schillings, Claudia; Schwab, Christoph Scaling limits in computational Bayesian inversion. (English) Zbl 1358.65013 ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1825-1856 (2016). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65C60 62F15 65K05 90C15 PDFBibTeX XMLCite \textit{C. Schillings} and \textit{C. Schwab}, ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1825--1856 (2016; Zbl 1358.65013) Full Text: DOI Link
Boscarino, Sebastiano; Qiu, Jing-Mei Error estimates of the integral deferred correction method for stiff problems. (English) Zbl 1364.65151 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1137-1166 (2016). Reviewer: Michael Plum (Karlsruhe) MSC: 65L20 65-XX 65L05 65L04 65B05 65L11 65L06 PDFBibTeX XMLCite \textit{S. Boscarino} and \textit{J.-M. Qiu}, ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1137--1166 (2016; Zbl 1364.65151) Full Text: DOI arXiv
Wang, Haijin; Wang, Shiping; Zhang, Qiang; Shu, Chi-Wang Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems. (English) Zbl 1351.65078 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1083-1105 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M12 65M15 65M20 65L06 35K55 PDFBibTeX XMLCite \textit{H. Wang} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1083--1105 (2016; Zbl 1351.65078) Full Text: DOI Link
Balac, Stéphane; Fernandez, Arnaud; Mahé, Fabrice; Méhats, Florian; Texier-Picard, Rozenn The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics. (English) Zbl 1401.78014 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 945-964 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M25 65M12 65M15 65L06 65T50 78A60 35Q55 PDFBibTeX XMLCite \textit{S. Balac} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 4, 945--964 (2016; Zbl 1401.78014) Full Text: DOI
Wu, Lei; Shu, Chi-Wang Numerical solution of the viscous surface wave with discontinuous Galerkin method. (English) Zbl 1321.35143 ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1019-1046 (2015). MSC: 35Q30 35R35 74D05 76M10 65L06 65L80 65N30 PDFBibTeX XMLCite \textit{L. Wu} and \textit{C.-W. Shu}, ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1019--1046 (2015; Zbl 1321.35143) Full Text: DOI Link
Chen, Minghua; Deng, Weihua Discretized fractional substantial calculus. (English) Zbl 1314.26007 ESAIM, Math. Model. Numer. Anal. 49, No. 2, 373-394 (2015). MSC: 26A33 65L06 42A38 65M12 PDFBibTeX XMLCite \textit{M. Chen} and \textit{W. Deng}, ESAIM, Math. Model. Numer. Anal. 49, No. 2, 373--394 (2015; Zbl 1314.26007) Full Text: DOI arXiv
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
Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia Highly anisotropic nonlinear temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time. (English) Zbl 1306.65258 ESAIM, Math. Model. Numer. Anal. 48, No. 6, 1701-1724 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65M30 35K55 35B25 65M12 65L06 PDFBibTeX XMLCite \textit{A. Lozinski} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 6, 1701--1724 (2014; Zbl 1306.65258) Full Text: DOI arXiv
Burman, Erik; Ern, Alexandre Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. (English) Zbl 1281.65123 ESAIM, Math. Model. Numer. Anal. 46, No. 4, 681-707 (2012). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 65L06 65M15 65M60 65M12 35K20 PDFBibTeX XMLCite \textit{E. Burman} and \textit{A. Ern}, ESAIM, Math. Model. Numer. Anal. 46, No. 4, 681--707 (2012; Zbl 1281.65123) Full Text: DOI
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. Reinout W.; Wright, William M. Energy-preserving Runge-Kutta methods. (English) Zbl 1169.65348 ESAIM, Math. Model. Numer. Anal. 43, No. 4, 645 (2009). MSC: 65P10 37M15 65L06 PDFBibTeX XMLCite \textit{E. Celledoni} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 4, 645 (2009; Zbl 1169.65348) Full Text: DOI EuDML
Hairer, Ernst; McLachlan, Robert I.; Skeel, Robert D. On energy conservation of the simplified Takahashi-Imada method. (English) Zbl 1172.65067 ESAIM, Math. Model. Numer. Anal. 43, No. 4, 631 (2009). Reviewer: Vasile Marinca (Timişoara) MSC: 65P10 37M15 37N99 65L06 PDFBibTeX XMLCite \textit{E. Hairer} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 4, 631 (2009; Zbl 1172.65067) Full Text: DOI EuDML
Chartier, Philippe; Faou, Erwan Geometric integrators for piecewise smooth Hamiltonian systems. (English) Zbl 1145.65110 ESAIM, Math. Model. Numer. Anal. 42, No. 2, 223-241 (2008). Reviewer: Jialin Hong (Beijing) MSC: 65P10 65L05 65L06 65L20 37J05 37M15 PDFBibTeX XMLCite \textit{P. Chartier} and \textit{E. Faou}, ESAIM, Math. Model. Numer. Anal. 42, No. 2, 223--241 (2008; Zbl 1145.65110) Full Text: DOI EuDML