An Introduction to Green's Functions

Abstract

The report is an introduction to Green's functions intended for workers in acoustics but also suitable for general purposes. The first chapter reviews the properties of the various types of second order linear partial differential equations and discusses a simple Green's function as an introductory example. Subsequent chapters discuss the Green's functions associated with the Laplace, diffusion, and wave equations, and the final chapter deals with the Helmholtz equation through some applications from acoustics. Appendix 1 discusses the formal manipulation of delta functions, and Appendix 2 is a brief introduction to Fourier and Laplace transforms. A bibliography, exercises, and solutions are also included.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1969
Accession Number
AD0717870

Entities

People

  • Thomas J. Eisler

Organizations

  • The Catholic University of America

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustics
  • Boundary Value Problems
  • Delta Functions
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Heat Flux
  • Helmholtz Equations
  • Integral Equations
  • Integrals
  • New York
  • Partial Differential Equations
  • Physics
  • Radiation
  • Real Variables
  • Two Dimensional
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Calculus or Mathematical Analysis