Green's functions with applications
This second edition systematically leads readers through the process of developing Green's functions for ordinary and partial differential equations. In addition to exploring the classical problems involving the wave, heat, and Helmholtz equations, the book includes special sections on leaky modes, water waves, and absolute/convective instability. The book helps readers develop an intuition about the behavior of Green's functions, and considers the questions of the computational efficiency and …
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- Full title :Green's functions with applications / Dean G. Duffy.
Summary
This second edition systematically leads readers through the process of developing Green's functions for ordinary and partial differential equations. In addition to exploring the classical problems involving the wave, heat, and Helmholtz equations, the book includes special sections on leaky modes, water waves, and absolute/convective instability. The book helps readers develop an intuition about the behavior of Green's functions, and considers the questions of the computational efficiency and possible methods for accelerating the process.
Read More ↓Edition Statements
- Publication Date:©2015
- Edition:Second edition
Publication Statements
- Publisher(s):Chapman & Hall/CRC
- Place of Publication:Boca Raton, Fla
- Language:eng
- Publication Date:©2015
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781482251036, 1482251035
- oclc:ocn903644137
- LC Classification:QA371
- Dewey Decimal:515/.35
Table of Contents
Front Cover; Contents; Acknowledgments; Author; Preface; Definitions of the Most Commonly Used Functions; Chapter 1: Historical Development; Chapter 2: Background Material; Chapter 3: Green's Functions for Ordinary Differential Equations; Chapter 4: Green's Functions for the Wave Equation; Chapter 5: Green's Functions for the Heat Equation; Chapter 6: Green's Functions for the Helmholtz Equation; Chapter 7: Numerical Methods; Appendix: Relationship between Solutions of Helmholtz's and Laplace's Equations in Cylindrical and Spherical Coordinat; Answers to Some of the Problems; Back Cover.
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