An asymptotic expansion of the global discretization error of difference schemes for numerically solving a quasilinear parabolic system of differential equations

DOI10.1007/BF02320198zbMath0747.65077OpenAlexW272685936MaRDI QIDQ1184699

Michael Meister

Publication date: 28 June 1992

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02320198

zbMATH Keywords

\(A\)-stabilityRichardson extrapolationquasilinear parabolic system\(A\)-stable methodsasymptotic expansion of the global discretization errorimplicit, \(A\)-stable one-step difference methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Convergence of method of lines approximations to partial differential equations
• A procedure for determining exact solutions to certain nonlinear evolution equations
• Difference methods for quasilinear parabolic systems from plasma physics
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• On a quasi-linear parabolic equation occurring in aerodynamics
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