《常微分方程和微分代數方程的計算機方法 | 影印版》是2009年1月科學出版社出版的圖書，作者是（美）Uri M. Ascher Linda R.Petzold。
基本介紹
- 中文名：常微分方程和微分代數方程的計算機方法 | 影印版
- 作者：（美）Uri M. Ascher Linda R.Petzold
- 類別：數學、計算機科學技術
- 出版社：科學出版社
- 出版時間：2009年1月
- ISBN：9787030234865
圖書簡介,圖書目錄,
圖書簡介
Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field’s leading authorities, it provides a unified presentation of initial Value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This book is a practical and mathematically well informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included. This book is appropriate for senior undergraduate or beginning graduate students with a computational focus and practicing engineers and scientists who want to learn about computational differential equations. A beginning course in numerical analysis is needed, and a beginning course in ordinary differential equations Would be helpful.
圖書目錄
- List of Figures
- List of Tables
- Preface
- Part I: Introduction
- Part II: Initial Value Problems
- Part III: Boundary Value Problems
- Part IV: Differential-Algebraic Equations
- Bibliography
- Index
