An improved local error estimator for symmetric time-stepping schemes

DOI10.1016/j.aml.2018.03.001zbMath1404.65127OpenAlexW2791103799WikidataQ130148349 ScholiaQ130148349MaRDI QIDQ1642097

Othmar Koch, Winfried Auzinger

Publication date: 20 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://phaidra.univie.ac.at/o:717623

zbMATH Keywords

numerical time integrationlocal error estimationone-step methodssymmetric schemes

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to abstract evolution equations (65J08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations ⋮ Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods ⋮ Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime

Cites Work

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• Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case
• Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems.
• Defect-based local error estimators for splitting methods, with application to Schrödinger equations. III: The nonlinear case

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