Solving the Difference Initial-Boundary Value Problems by the Operator Exponential Method

DOI10.2991/JNMP.2001.8.3.1zbMath0996.65088arXivmath/0107233OpenAlexW2171048249MaRDI QIDQ2744647

I. A. Shereshevskij, I. M. Nefedov

Publication date: 4 July 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107233

zbMATH Keywords

stabilitynumerical examplediffusion equationerror boundsSchrödinger equationdifference schemesGinzburg-Landau equationdifference linear initial boundary value problemsoperator exponential method

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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