
Splitting Extrapolation Method,the: A New Technique In Numerical Solution Of Multidimensional Prob
A New Technique in Numerical Solution of Multidimensional Problems
- 336 pages
- English
- PDF
- Available on iOS & Android
Splitting Extrapolation Method,the: A New Technique In Numerical Solution Of Multidimensional Prob
A New Technique in Numerical Solution of Multidimensional Problems
About this book
The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.
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Table of contents
- Contents
- Preface
- Acknowledgements
- Introduction
- List of Symbols
- Chapter I GENERALIZATION AND APPLICATION OF RICHARDSON'S EXTRAPOLATION
- Chapter II SPLITTING EXTRAPOLATION METHODS
- Chapter III APPLICATION OF SEM TO MULTIDIMENSIONAL NUMERICAL INTEGRATION
- Chapter IV SEM FOR INTEGRAL EQUATIONS
- Chapter V SEM FOR DIFFERENTIAL EQUATIONS
- Chapter VI COMBINATION METHODS FOR ACCELERATING THE CONVERGENCE
- Chapter VII SPARSE GRID METHODS AND COMBINATION TECHNIQUES
- Appendix I TABLES OF SPLITTING EXTRAPOLATION COEFFICIENTS
- Appendix II TABLES OF SUCCESSIVE SPLITTING EXTRAPOLATION COEFFICIENTS
- Appendix III EXTRAPOLATION AT FINE GRID POINTS
- Bibliography
- Index