Additive Operator-Difference Schemes
eBook - PDF

Additive Operator-Difference Schemes

  1. 370 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Additive Operator-Difference Schemes

Book details
Table of contents
Citations

About This Book

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-dimensional problems for PDEs. Two classes of schemes are highlighted: methods of splitting with respect to spatial variables (alternating direction methods) and schemes of splitting into physical processes. Also regionally additive schemes (domain decomposition methods) and unconditionally stable additive schemes of multi-component splitting are considered for evolutionary equations of first and second order as well as for systems of equations.

The book is written for specialists in computational mathematics and mathematical modeling. All topics are presented in a clear and accessible manner.

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Yes, you can access Additive Operator-Difference Schemes by Petr N. Vabishchevich in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2013
ISBN
9783110321463
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Preface
  2. Notation
  3. 1 Introduction
  4. 2 Stability of operator-difference schemes
  5. 3 Operator splitting
  6. 4 Additive schemes of two-component splitting
  7. 5 Schemes of summarized approximation
  8. 6 Regularized additive schemes
  9. 7 Schemes based on approximations of a transition operator
  10. 8 Vector additive schemes
  11. 9 Iterative methods
  12. 10 Splitting of the operator at the time derivative
  13. 11 Equations with pairwise adjoint operators
  14. Bibliography
  15. Index