Green's functions with applications / Dean G. Duffy.
Material type:
TextSeries: Advances in applied mathematicsPublication details: Boca Raton. : CRC Press, ©2015.Edition: 2nd edDescription: xvii, 667 p. : illustrations ; 25 cmISBN: - 9781482251029 (hardback : acidfree paper)
- 515.35 23 D858
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.35 D858 (Browse shelf(Opens below)) | Available | 137107 |
Includes bibliographical references and index.
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.
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.
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