基本信息
- 作者： Uri M. Ascher
- 丛书名： 国外数学名著系列（续一）（影印版）41
- 出版社：科学出版社
- ISBN：9787030234865
- 上架时间：2016-5-14
- 出版日期：2016 年5月
- 开本：B5开
- 页码：336
- 版次：31-1
- 所属分类：数学
编辑推荐
本书为《国外数学名*系列》丛书之一。该丛书是科学出版社组织学术界多位知名院士、专家精心筛选出来的一批基础理论类数学*作，读者对象面向数学系高年级本科生、研究生及从事数学专业理论研究的科研工作者。
本册为《常微分方程和微分代数方程的计算机方法(影印版)41》，本书提供了一个统一的介绍初始值和边值问题在常微分方程和微分代数方程方法，旨在深入了解的问题和方法的实际计算，同时避免了广泛的定理证明。
内容简介
书籍
数学书籍
Designed for those people who want to gain a practical knowledge of modem techniques，this book contains all the material necessary for a course on the nmnerical solution of differential equations.Written by two of the field's leading athorities，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.
数学书籍
Designed for those people who want to gain a practical knowledge of modem techniques，this book contains all the material necessary for a course on the nmnerical solution of differential equations.Written by two of the field's leading athorities，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.
目录
List of Figures
List of Tables
Preface
Part Ⅰ：Introduction
1 Ordinary Differential Equations
1.1 IVPs
1.2 BVPs
1.3 Differential-Algebraic Equations
1.4 Families of Application Problems
1.5 Dynamical Systems
1.6 Notation
Part Ⅱ：Initial Value Problems
2 On Problem Stability
2.1 Test Equation and General Definitions
2.2 Linear，Constant-Coefficient Systems
2.3 Linear，Variable-Coefficient Systems
2.4 Nonlinear Problems
2.5 Hamiltonian Systems
2.6 Notes and References
2.7 Exercises
List of Tables
Preface
Part Ⅰ：Introduction
1 Ordinary Differential Equations
1.1 IVPs
1.2 BVPs
1.3 Differential-Algebraic Equations
1.4 Families of Application Problems
1.5 Dynamical Systems
1.6 Notation
Part Ⅱ：Initial Value Problems
2 On Problem Stability
2.1 Test Equation and General Definitions
2.2 Linear，Constant-Coefficient Systems
2.3 Linear，Variable-Coefficient Systems
2.4 Nonlinear Problems
2.5 Hamiltonian Systems
2.6 Notes and References
2.7 Exercises
