Difference schemes : an introduction to the underlying theory / S.K. Godunov and V.S. Ryabenkii ; English translation by E.M. Gelbard.
Language: English Original language: Russian Series: Studies in mathematics and its applications ; v. 19.1987Description: 1 online resource (xvii, 489 pages) : illustrationsContent type:- text
- computer
- online resource
- 9780444702333
- 0444702334
- 9780080875408
- 0080875408
- Raznostnye skhemy. English
- Difference equations
- Differential equations, Linear
- Équations aux différences
- Équations différentielles linéaires
- MATHEMATICS -- Calculus
- MATHEMATICS -- Mathematical Analysis
- Difference equations
- Differential equations, Linear
- Differential equations Boundary value problems Solution Difference schemes
- QA431 .G58513 1987eb

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.
Translation of: Raznostnye skhemy.
Includes bibliographical references (pages 475-484) and index.
Print version record.
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.
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