03201nam 2200709 a 450 991081930810332120240516142602.01-280-59764-X97866136274763-11-025339-910.1515/9783110253399(CKB)2670000000170845(EBL)887131(OCoLC)784886949(SSID)ssj0000636095(PQKBManifestationID)11397492(PQKBTitleCode)TC0000636095(PQKBWorkID)10662965(PQKB)10337760(MiAaPQ)EBC887131(DE-B1597)123424(OCoLC)840441845(DE-B1597)9783110253399(Au-PeEL)EBL887131(CaPaEBR)ebr10554726(CaONFJC)MIL362747(PPN)17552324X(EXLCZ)99267000000017084520110901d2012 uy 0engur|n|---|||||txtccrGreen's functions construction and applications /Yuri A. Melnikov, Max Y. Melnikov1st ed.Berlin ;Boston De Gruyterc20121 online resource (448 p.)De Gruyter studies in mathematics,0179-0986 ;42Description based upon print version of record.3-11-025302-X Includes bibliographical references and index.Green's functions for ODE -- Laplace equation -- Static Klein-Gordon equation -- Higher order equations -- Multi point-posed problems -- PDE matrices of Green's type -- Diffusion equation -- Black-Scholes equation.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.De Gruyter studies in mathematics ;42.Green's functionsElliptic.Green's Function.Parabolic.Partial Differential Equation.Green's functions.515/.353SK 470rvkMelnikov Yu. A480597Melnikov Max Y515975MiAaPQMiAaPQMiAaPQBOOK9910819308103321Green's functions853840UNINA