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The Asymptotic Behavior for Numerical Solution of a Volterra Equation

The Asymptotic Behavior for Numerical Solution of a Volterra Equation Long-time asymptotic stability and convergence properties for the numerical solution of a Volterra equation of parabolic type are studied. The methods are based on the first-second order backward difference methods. The memory term is approximated by the convolution quadrature and the interpolant quadrature. Discretization of the spatial partial differential operators by the finite element method is also considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The Asymptotic Behavior for Numerical Solution of a Volterra Equation

Acta Mathematicae Applicatae Sinica , Volume 19 (1) – Jan 1, 2003

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Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-003-0080-8
Publisher site
See Article on Publisher Site

Abstract

Long-time asymptotic stability and convergence properties for the numerical solution of a Volterra equation of parabolic type are studied. The methods are based on the first-second order backward difference methods. The memory term is approximated by the convolution quadrature and the interpolant quadrature. Discretization of the spatial partial differential operators by the finite element method is also considered.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2003

References