| 作 者: | 普莱彻 |
| 出版社: | 世界图书有限公司 |
| 丛编项: | |
| 版权说明: | 本书为出版图书,暂不支持在线阅读,请支持正版图书 |
| 标 签: | 暂缺 |
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Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Authors
PART Ⅰ Fundamentals
Chapter 1 Introduction
1.1 General Remarks
1.2 Comparison of Experimental, Theoretical,and Computational Approaches
1.3 Historical Perspective
Chapter 2 Partial Differential Equations
2.1 Introduction
2.1.1 Partial Differential Equations
2.2 Physical Classification
2.2.1 Equilibrium Problems
2.2.2 Eigenvalue Problems
2.2.3 Marching Problems
2.3 Mathematical Classification
2.3.1 Hyperbolic PDEs
2.3.2 Parabolic PDEs
2.3.3 Elliptic PDEs
2,4 Well-Posed Problem
2.5 Systems of Partial Differential Equations
2.6 Other PDEs of Interest Problems
Chapter 3 Basics of Discretization Methocls
3.1 Introduction
3.2 Finite Differences
3.3 Difference Representation of Partial Differential Equations
3.3.1 Truncation Error
3.3.2 Round-off and Discretization Errors
3.3.3 Consistency
3.3.4 Stability
3.3.5 Convergence for Marching Problems
3.3.6 Comment on Equilibrium Problems
3.3.7 Conservation Form and Conservative Property
3.4 Further Examples of Methods for Obtaining Finite-Difference Equations
3.4.1 Use of Taylor Series
……
PART Ⅱ Application of Numerical Methods to the Equations of Fluid Mechanics and Heat Transfer
Appendix A: Subroutine for Solving a Tridiagonal System of Equations
Appendix B: Subroutines for Solving Block Tridiagonal Systems of Equations
Appendix C: Modified Strongly Implicit Procedure
Nomenclature
References
Index