Additive Operator-Difference Schemes : : Splitting Schemes /

Additive Operator-Difference Schemes : : Splitting Schemes / / Petr N. Vabishchevich.

Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting schemes) to solve approximately unsteady multi-...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Vabishchevich, Petr N.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2014
Year of Publication:2013
Language:English
Online Access:
Physical Description:1 online resource (354 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Notation
  • 1. Introduction
  • 2. Stability of operator-difference schemes
  • 3. Operator splitting
  • 4. Additive schemes of two-component splitting
  • 5. Schemes of summarized approximation
  • 6. Regularized additive schemes
  • 7. Schemes based on approximations of a transition operator
  • 8. Vector additive schemes
  • 9. Iterative methods
  • 10. Splitting of the operator at the time derivative
  • 11 Equations with pairwise adjoint operators
  • Bibliography
  • Index

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