Difference Schemes :An Introduction to the Underlying Theory ( Volume 19 )

Publication subTitle :An Introduction to the Underlying Theory

Publication series :Volume 19

Author: Godunov   S. K.;Ryabenkii   V. S.  

Publisher: Elsevier Science‎

Publication year: 1987

E-ISBN: 9780080875408

P-ISBN(Paperback): 9780444702333

P-ISBN(Hardback):  9780444702333

Subject: O241.3 Interpolation

Language: ENG

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Description

Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.

This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.

While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.

Chapter

Front Cover

pp.:  1 – 3

Copyright Page

pp.:  5 – 10

Preface

pp.:  6 – 7

Preface to the Second Edition

pp.:  7 – 20

Table of Contents

pp.:  10 – 6

Introduction

pp.:  20 – 24

PART 2: DIFFERENCE SCHEMES FOR ORDINARY DIFFERENTIAL EQUATIONS

pp.:  90 – 204

PART 3: DIFFERENCE SCHEMES FOR PARTIAL DIFFERENTIAL EQUATIONS. BASIC CONCEPTS

pp.:  204 – 328

PART 4: PROBLEMS WITH TWO SPACE VARIABLE

pp.:  328 – 410

PART 5: STABILITY OF EVOLUTIONAL BOUNDARY-VALUE PROBLEMS VIEWED AS THE BOUNDEDNESS OF NORMS OF POWERS OF A CERTAIN OPERATOR

pp.:  410 – 480

Appendix. Method of internal boundary conditions

pp.:  480 – 494

Bibliographical commentaries

pp.:  494 – 502

Bibliography

pp.:  502 – 504

Index

pp.:  504 – 510

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