Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems

DOI10.1051/m2an/2015068zbMath1351.65078OpenAlexW2472513481MaRDI QIDQ2820344

Haijin Wang, Shiping Wang, Chi-Wang Shu, Qiang Zhang

Publication date: 15 September 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e0152988afb376dab58c0709cdaa1c6d73701031

zbMATH Keywords

stabilitynumerical examplesconvection-diffusion problemnonlinearerror estimatesemidiscretizationlinearelliptic projectionRunge-Kutta time discretizationimplicit-explicit schemelocal discontinuous Galerkin spatial discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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