Operator Splitting and Global Error Analysis

  • P. Csomós
  • I. Faragó
  • Á. Havasi
Conference paper
Part of the NATO Science Series book series (NAIV, volume 30)

Abstract

Operator splitting is a widely used procedure in the mathematical modeling of physical and chemical processes, e.g., in the investigation of air pollution transport. This method allows us to lead the original, usually rather complicated model back to a sequence of sub-models having much simpler structrne. In certain cases this procedure can be performed without loss of accuracy. However, in most real models it causes the appearance of a new type of error, the so-called splitting error. Treating this error, which is coupled to the numerical errors arising from the application of numerical methods for the solution of the sub-problems, is a crucial problem. This task is especially complicated in the case of non-linear processes, such as certain chemical processes. In this paper we investigate the effect of the splitting error and the chosen numerical method on the accuracy of the solution. Both theoretical and numerical results are presented.

Keywords

Splitting Method Operator Splitting Split Scheme Time Integration Step Sequential Splitting 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • P. Csomós
    • 1
  • I. Faragó
    • 1
  • Á. Havasi
    • 2
  1. 1.Eötvös Loránd UniversityBudapestHungary
  2. 2.Eötvös Loránd UniversityBudapestHungary

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