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Main Title: Quantitative error estimates for the implicit Euler scheme for linear evolutionary problems with rough data.
Author(s): Emmrich, Etienne
Type: Research Paper
Abstract: For the initial-boundary value problem for a non-homogeneous linear parabolic differential equation with time-dependent coefficients, the discretization in time by the backward Euler method is considered. The method is shown to be convergent of first order even for rough data. Attention is directed, in particular, to estimates of the appearing constants as well as to restrictions on the step size in dependence on the problem's parameters. In addition, the temporal discretization of the incompressible Stokes problem and the dependence of the error on the Reynolds number is analysed.
Subject(s): Linear parabolic PDE
parabolic smoothing
discretization in time
backward Euler
a priori error estimates
incompressible Stokes equation
Issue Date: 1-Mar-2000
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65M15 Error bounds
65J10 Equations with linear operators
76D07 Stokes and related flows
34G10 Linear equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2000, 671
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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