Green's Functions
eBook - PDF

Green's Functions

Construction and Applications

  1. 447 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Green's Functions

Construction and Applications

About this book

Green's functions represent one of the classical and widely used issues in the area of differential equations.

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 biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. The book is attractive for practical needs: It contains many easily computable or computer friendly representations of Green's functions, includes all the standard Green's functions and many novel ones, and provides innovative and new approaches that might lead to Green's functions.

The book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations.

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Yes, you can access Green's Functions by Yuri A. Melnikov,Max Y. Melnikov in PDF and/or ePUB format, as well as other popular books in Mathematics & Business Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2012
Print ISBN
9783110253023
eBook ISBN
9783110253399

Table of contents

  1. Preface
  2. 0 Introduction
  3. 1 Green’s Functions for ODE
  4. 2 The Laplace Equation
  5. 3. The Static Klein-Gordon Equation
  6. 4 Higher Order Equations
  7. 5 Multi-Point-Posed Problems
  8. 6 PDE Matrices of Green’s type
  9. 7 Diffusion Equation
  10. 8 Black-Scholes Equation
  11. Appendix Answers to Chapter Exercises
  12. Bibliography
  13. Index