Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations

DOI10.1016/S0362-546X(02)00134-7zbMath1017.35041MaRDI QIDQ1863471

Karsten Matthies

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

reaction-diffusion equationsbackward error analysissemilinear parabolicfull discretization scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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