Iterative Operator Splitting Methods for Differential Equations : Prooftechniques and Applications

  title={Iterative Operator Splitting Methods for Differential Equations : Prooftechniques and Applications},
  author={J{\"u}rgen Geiser},
Abstract. In this paper we describe an iterative operator-splitting method for bounded operators. Our contribution is a novel iterative method that can be applied as a splitting method to ordinary and partial differential equations. A simple relation between the number of iterative steps and order of the splitting scheme makes this an alternative method to a time decomposition method. The iterative splitting scheme can be applied to a physical problem, but the original problem is not divided as… CONTINUE READING


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 23 references

Decomposition Methods for Differential Equations: Theory and Applications. Chapman & Hall/CRC, Series: Numerical Analysis and Scientific Computing Series, edited by Magoules

  • J. Geiser
  • 2009
3 Excerpts

A modified Iterated operator-splitting method

  • I. Farago
  • Applied Mathematical Modelling,
  • 2008
2 Excerpts

Higher order splitting methods for differential equations: Theory and applications of a fourth order method

  • J. Geiser
  • Numerical Mathematics: Theory, Methods and…
  • 2008
2 Excerpts

Splitting methods for abstract Cauchy problems

  • I. Farago
  • Lect. Notes Comp.Sci
  • 2005
2 Excerpts

Numerical methods for fluids

  • R. Glowinski
  • Handbook of Numerical Analysis,
  • 2003

Similar Papers

Loading similar papers…