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Green's Functions with Applications

✍ Scribed by Duffy, Dean G


Publisher
Chapman & Hall/CRC
Year
2001
Tongue
English
Leaves
672
Series
Applied Mathematics
Category
Library

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✦ Table of Contents


Content: Some background material --
Green's functions for ordinary differential equations --
Green's functions for the wave equations --
Green's functions for the heat equation --
Green's function for the Helmholtz equation --
Appendix A: The Fourier transform --
Appendix B: The Laplace transform --
Appendix C: Bessel functions --
Appendix D: Relationship between solutions of Helmholtz's and Laplace's equations in cylindrical and spherical coordinates


πŸ“œ SIMILAR VOLUMES


Green's Functions with Applications
✍ Dean G. Duffy πŸ“‚ Library πŸ“… 2001 πŸ› Chapman & Hall/CRC 🌐 English

Green's Functions are heavily emphasized in graduate programs in engineering, applied math and physics. They're a useful way in solving many differential equation related problems in many fields. Unfortunately, for many (like me), the Green's Function (and it's uses) seemed restricted to 'textbook'

Green's Functions with Applications
✍ Dean G. Duffy πŸ“‚ Library πŸ“… 2015 πŸ› CRC Press 🌐 English

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but has

Green's functions with applications
✍ Dean G. Duffy πŸ“‚ Library πŸ“… 2001 πŸ› Chapman & Hall/CRC 🌐 English

Since its introduction in 1828, using Green's functions has become a fundamental mathematical technique for solving boundary value problems. Most treatments, however, focus on its theory and classical applications in physics rather than the practical means of finding Green's functions for applicatio

Green's Functions with Applications
✍ Dean G. Duffy πŸ“‚ Library πŸ“… 2015 πŸ› Chapman and Hall/CRC 🌐 English

<P>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 mode

Green's Functions: Construction and Appl
✍ Yuri A. Melnikov; Max Y. Melnikov πŸ“‚ Library πŸ“… 2012 πŸ› De Gruyter 🌐 English

<p>Green's functions represent one of the classical and widely used issues in the area of differential equations.</p> <p>This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and b