High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models

DOI10.1137/19M128973XzbMath1473.65183arXiv1811.09284OpenAlexW2900682338MaRDI QIDQ3300850

Remi Abgrall, Davide Torlo

Publication date: 30 July 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09284

zbMATH Keywords

relaxationkinetic modeldeferred correctionIMEXasymptotic preservingresidual distribution

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Hyperbolic conservation laws (35L65) 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) Numerical methods for stiff equations (65L04) Integro-partial differential equations (35R09)

Related Items (12)

Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations ⋮ Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials ⋮ Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping ⋮ Residual distribution schemes for steady radiative transfer equations on unstructured meshes ⋮ Staggered Schemes for Compressible Flow: A General Construction ⋮ Deferred defect‐correction finite element method for the Darcy‐Brinkman model ⋮ Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping ⋮ DeC and ADER: similarities, differences and a unified framework ⋮ Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system ⋮ An arbitrary high order and positivity preserving method for the shallow water equations ⋮ Relaxation deferred correction methods and their applications to residual distribution schemes ⋮ A kinetic flux difference splitting method for compressible flows

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