Numerical Partial Differential Equations: Finite Difference Methods

✍ Scribed by J. W. Thomas (auth.)

Publisher: Springer-Verlag New York
Year: 1995
Tongue: English
Leaves: 451
Series: Texts in Applied Mathematics 22
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This text will be divided into two books which cover the topic of numerical partial differential equations. Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student, this text offers a means of coming out of a course with a large number of methods which 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.

✦ Table of Contents

Front Matter....Pages i-xx
Prelude....Pages 1-4
Introduction to Finite Differences....Pages 5-39
Some Theoretical Considerations....Pages 41-95
Stability....Pages 97-145
Parabolic Equations....Pages 147-203
Hyperbolic Equations....Pages 205-259
Systems of Partial Differential Equations....Pages 261-360
Dispersion and Dissipation....Pages 361-426
Back Matter....Pages 427-437

✦ Subjects

Numerical Analysis; Analysis; Appl.Mathematics/Computational Methods of Engineering

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