基本信息出版社：Springer
页码：437 页
出版日期：1998年11月
ISBN：0387979999
International Standard Book Number：0387979999
条形码：9780387979991
EAN：9780387979991
装帧：精装
正文语种：英语
丛书名：Texts in Applied Mathematics

内容简介 在线阅读本书

Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers a means of coming out of a course with a large number of methods that provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation.

Prerequisites suggested for using this book in a course might include at least one semester of partial differential equations and some programming capability. The author stresses the use of technology throughout the text allowing the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized, and algebraic manipulators are used when convenient.

This is the first volume of a two-part book. The second part is entitled Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations.
媒体推荐 "This important volume is the first part of a two-part textbook (the second part is entitled Conservation laws and elliptic equations). The text includes interesting homework problems that implement different aspects of most of the schemes discussed. The implementation aspect of this text includes a large amount of computing. Other useful aspects of computing included in this volume are symbolic computing and the use of graphics for analysis. Prerequisites suggested for using this book might include one semester of partial differential equations and some programming capability. This book will be a good reference text for students." -- MATHEMATICAL REVIEWS
目录
Introduction to Finite Difference.- Some Theoretical Considerations.- Stability.- Parabolic Equations.- Hyperbolic Equations.- Systems of Partial Differential Equations.- Dispersion and Dissipation.- References.- Index.
……