Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations

DOI10.1137/100796819zbMath1227.65081OpenAlexW2009904819MaRDI QIDQ3091808

Irene Kyza, Charalambos G. Makridakis

Publication date: 14 September 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://sro.sussex.ac.uk/id/eprint/44785/1/100796819.pdf

zbMATH Keywords

blow-up solutionsbackward Euler methodCrank-Nicolson methodsemilinear parabolic equationsDuhamel's principlefixed point argumentsreconstruction techniqueenergy techniquesconditional a posteriori estimates

Mathematics Subject Classification ID

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) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

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