\(L^2\)-stability analysis of IMEX-\(( \sigma,\mu )\) DG schemes for linear advection-diffusion equations

DOI10.1016/j.apnum.2019.08.016zbMath1442.65391OpenAlexW2969935229MaRDI QIDQ2010232

Sigrun Ortleb

Publication date: 27 November 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.08.016

zbMATH Keywords

discontinuous Galerkin methodenergy stabilitydiffusion schemetime step restrictionimplicit-explicit time integrationlinear advection-diffusion

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

The direct discontinuous Galerkin methods with implicit-explicit Runge-Kutta time marching for linear convection-diffusion problems ⋮ Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation ⋮ Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems

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