Iterative operator-splitting methods for linear problems. (15th May 2008)

• Record Type: Journal Article
• Authors: Farago, I.; Geiser, J.
• Is Part Of: International journal of computational science and engineering. Volume 3:Number 4(2007)
• Page Start: 255
• Page End: 263
• Publication Date: 2008-05-15
• Subjects: higher order accuracy -- iterative splitting -- local error -- operator splitting -- splitting time interval; Computer science -- Mathematics -- Periodicals; Computer simulation -- Mathematical aspects -- Periodicals; Computational intelligence -- Periodicals; 004.015105
• Languages: English
• ISSNs: 1742-7185

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.