Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14721
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Main Title: Stability and error of the variable two-step BDF for parabolic problems
Author(s): Emmrich, Etienne
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15948
http://dx.doi.org/10.14279/depositonce-14721
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: The temporal discretisation of a moderate semilinear parabolic problem in an abstract setting by means of the two-step backward differentiation formula with variable step sizes is analysed. Stability as well as optimal error estimates are derived for step size ratios bounded by 1.91.
Subject(s): semilinear parabolic problem
time discretisation
backward differentiation formula
non-uniform grid
stability
error estimate
Issue Date: 1-Nov-2000
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65M12 Stability and convergence of numerical methods
65J15 Equations with nonlinear operators
35K90 Abstract parabolic evolution equations
47J35 Nonlinear evolution equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2000, 703
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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