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Melnikov, Yuri A. / Melnikov, Max Y.

Green's Functions

Construction and Applications

Series:De Gruyter Studies in Mathematics 42

    129,95 € / $182.00 / £118.00*

    eBook (PDF)
    Publication Date:
    April 2012
    Copyright year:
    2012
    ISBN
    978-3-11-025339-9
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    Overview

    Aims and Scope

    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 andmany 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.

    Supplementary Information

    Details

    24.0 x 17.0 cm
    xii, 435 pages
    46 Fig.
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):
    Green's Function; Partial Differential Equation; Elliptic; Parabolic

    MARC record

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    Yuri A. Melnikov,Middle Tennessee State University, Murfreesboro, Tennessee, USA; Max Y.Melnikov, Cumberland University, Lebanon, Tennessee, USA.

    Reviews

    "[...] the book is a useful source for everyone who is studying or working in fields of science, finance, or engineering that involve practical solutions of partial differential equations."
    L'Enseignement Mathématique 2/2012

    "The monograph is a valuable source to any researcher or postgraduate student working in applied sciences or engineering that concern practical solutions of partial or ordinary differential equations."
    Marius Ghergu, Zentralblatt für Mathematik

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