Difference schemes an introduction to the underlying theory

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...

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Bibliographic Details
Main Author: Godunov, S. K.
Other Authors: Ri︠a︡benʹkiĭ, V. S.
Format: eBook
Language:English
Published: Amsterdam North-Holland 1987, 1987
Series:Studies in mathematics and its applications
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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100 1 |a Godunov, S. K. 
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245 0 0 |a Difference schemes  |b an introduction to the underlying theory  |c S.K. Godunov and V.S. Ryabenkii ; English translation by E.M. Gelbard 
260 |a Amsterdam  |b North-Holland  |c 1987, 1987 
300 |a xvii, 489 pages  |b illustrations 
505 0 |a Front Cover; Studies in Mathematics and its Applications, Volume 19; Copyright Page; Preface; Preface to the Second Edition; Table of Contents; Introduction; PART 1: ORDINARY DIFFERENCE EQUATIONS; Chapter 1. Difference Equations of First and Second Order. Examples of Difference Schemes; Chapter 2. Boundary-Value Problems for Equations of Second Order; Chapter 3. Basis of the FEBS Method; PART 2: DIFFERENCE SCHEMES FOR ORDINARY DIFFERENTIAL EQUATIONS; Chapter 4. Elementary Examples of Difference Schemes 
505 0 |a Includes bibliographical references (pages 475-484) and index 
653 |a Differential equations, Linear / fast / (OCoLC)fst00893468 
653 |a Difference equations / http://id.loc.gov/authorities/subjects/sh85037879 
653 |a MATHEMATICS / Calculus / bisacsh 
653 |a Differential equations / Boundary value problems / Solution / Difference schemes 
653 |a Équations aux différences 
653 |a Équations différentielles linéaires 
653 |a Difference equations / fast / (OCoLC)fst00893419 
653 |a Differential equations, Linear / http://id.loc.gov/authorities/subjects/sh85037903 
653 |a MATHEMATICS / Mathematical Analysis / bisacsh 
700 1 |a Ri︠a︡benʹkiĭ, V. S. 
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490 0 |a Studies in mathematics and its applications 
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520 |a 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