Numerical Methods in Fluid Dynamics: Initial and Initial Boundary-Value Problems

✍ Scribed by Gary A. Sod

• Publisher: Cambridge University Press
• Year: 1985
• Tongue: English
• Leaves: 457
• Category: Library

✦ Synopsis

Here is an introduction to numerical methods for partial differential equations with particular reference to those that are of importance in fluid dynamics. The author gives a thorough and rigorous treatment of the techniques, beginning with the classical methods and leading to a discussion of modern developments. For easier reading and use, many of the purely technical results and theorems are given separately from the main body of the text. The presentation is intended for graduate students in applied mathematics, engineering and physical sciences who have a basic knowledge of partial differential equations.

✦ Table of Contents

CONTENTS......Page 8
PREFACE......Page 10
I. INTRODUCTION......Page 12
II. PARABOLIC EQUATIONS......Page 32
III. HYPERBOLIC EQUATIONS......Page 154
IV. HYPERBOLIC CONSERVATION LAWS......Page 280
V. STABILITY IN THE PRESENCE OF BOUNDARIES......Page 384
Appendix A - The Kreiss Matrix Theorem and Its Consequences......Page 408
Appendix B. Kreiss's Stability Theorems for Dissipative Methods......Page 414
Appendix C. The Lax-Nirenberg Theorem and a Special Case......Page 428
Appendix D: Hyperbolic Equations with Discontinuous Initial Data......Page 438
INDEX......Page 456

✦ Subjects

Механика;Механика жидкостей и газов;