Iterative operator-splitting methods for linear problems

Authors:
I. Farago;J. Geiser
Affiliations:
Department of Applied Analysis, Eotvos Lorand University, Budapest 1117, Hungary;Department of Mathematics, Humboldt-Universitaet zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany
Venue:
International Journal of Computational Science and Engineering
Year:
2007

Citing 4
Cited 5

Numerical Simulation of a Model for Transport and Reaction of Radionuclides

LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Iterative operator-splitting methods for linear problems

International Journal of Computational Science and Engineering
Weighted sequential splittings and their analysis

Computers & Mathematics with Applications
Splitting methods and their application to the abstract cauchy problems

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications

A note on iterated splitting schemes

Journal of Computational and Applied Mathematics
Additive and iterative operator splitting methods and their numerical investigation

Computers & Mathematics with Applications
Iterative operator-splitting methods for linear problems

International Journal of Computational Science and Engineering
Operator-splitting methods in respect of eigenvalue problems for nonlinear equations and applications for Burgers equations

Journal of Computational and Applied Mathematics
New operator splitting methods and their analysis

NMA'06 Proceedings of the 6th international conference on Numerical methods and applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

The operator-splitting methods are based on splitting of the complex problem into a sequence of simpler tasks. A useful method is the iterative splitting method which ensures a consistent approximation in each step. In our paper, we suggest a new method which is based on the combination of the splitting time interval and the traditional iterative operator splitting. We analyse the local splitting error of the method. Numerical examples are given in order to demonstrate the method.