Green's Functions : : Construction and Applications / / Yuri A. Melnikov, Max Y. Melnikov.
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 biharm...
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Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©2012 |
Year of Publication: | 2012 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
42 |
Online Access: | |
Physical Description: | 1 online resource (435 p.) |
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Other title: | Frontmatter -- Preface -- Contents -- Chapter 0. Introduction -- Chapter 1. Green’s Functions for ODE -- Chapter 2. The Laplace Equation -- Chapter 3. The Static Klein–Gordon Equation -- Chapter 4. Higher Order Equations -- Chapter 5. Multi-Point-Posed Problems -- Chapter 6. PDE Matrices of Green’s type -- Chapter 7. Diffusion Equation -- Chapter 8. Black–Scholes Equation -- Appendix. Answers to Chapter Exercises -- Bibliography -- Index |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110253399 9783110494938 9783110238570 9783110238471 9783110637205 9783110288995 9783110293722 9783110288926 |
ISSN: | 0179-0986 ; |
DOI: | 10.1515/9783110253399 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Yuri A. Melnikov, Max Y. Melnikov. |