Green's functions with applications

Green's functions with applications

by Duffy, Dean G.

Type Book
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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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Title Statements

  • 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.

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Edition Statements

  • Publication Date:©2015
  • Edition:Second edition

Publication Statements

  • Publisher(s):CRC Press
  • Place of Publication:Boca Raton
  • Language:eng
  • Publication Date:©2015

The Physical Object

  • Description:1 online resource (xvii, 667 pages) : : illustrations

Edition Identifiers

  • ISBN:9781482251036, 1482251035
  • oclc:ocn905856100
  • LC Classification:QC174.17.G68
  • Dewey Decimal:515.35

Table of Contents

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.

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