TY - BOOK ID - 77928303 TI - Green's Functions AU - Melnikov, Yuri A., AU - Melnikov, Max Y PY - 2012 SN - 128059764X 9786613627476 3110253399 9783110253399 311025302X 9783110253023 9781280597640 PB - Berlin Boston DB - UniCat KW - Green's functions. KW - Functions, Green's KW - Functions, Induction KW - Functions, Source KW - Green functions KW - Induction functions KW - Source functions KW - Differential equations KW - Potential theory (Mathematics) KW - Elliptic. KW - Green's Function. KW - Parabolic. KW - Partial Differential Equation. UR - http://www.unicat.be/uniCat?func=search&query=sysid:77928303 AB - 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. ER -