Stability analysis and error estimates of semi-implicit spectral deferred correction coupled with local discontinuous Galerkin method for linear convection-diffusion equations

DOI10.1007/s10915-018-0735-5zbMath1407.65235OpenAlexW2803792988MaRDI QIDQ1632207

Lingling Zhou, Yan Xu

Publication date: 13 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0735-5

zbMATH Keywords

stabilityconvection-diffusion equationerror estimatelocal discontinuous Galerkinspectral deferred correction

Mathematics Subject Classification ID

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) 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)

Related Items (4)

L-stable spectral deferred correction methods and applications to phase field models ⋮ Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations ⋮ Stability and error estimates of a novel spectral deferred correction time-marching with local discontinuous Galerkin methods for parabolic equations ⋮ Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations

Uses Software

• pySDC

Cites Work

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