Borítókép a Computer-assisted enclosures for fourth order elliptic equations - hoz
Könyv címe:

Computer-assisted enclosures for fourth order elliptic equations

Multiplicity of solutions of nonlinear equations

Südwestdeutscher Verlag für Hochschulschriften (27.09.2012 )

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ISBN-13:

978-3-8381-1834-5

ISBN-10:
3838118340
EAN:
9783838118345
Könyv nyelve:
angol
Ismertető:
"Concerning (partial) differential equations, amongst many others two questions are of great importance: existence and uniqueness, or more general multiplicity of solutions... There are plenty of equations, where analytical methods fail to work." The author describes in this work a computer-assisted method for proving existence and multiplicity of solutions of fourth order nonlinear elliptic boundary value problems. The main idea of this method is to compute a good numerical approximation of a solution and certain defect bounds with computer-assistance. Then a rigorous proof of the existence of an exact solution close to the numerical one is obtained by a fixed-point argument. The efficiency of this method is demonstrated with the examples of the fourth order Gelfand- and Emden-equations on various domains.
Kiadó:
Südwestdeutscher Verlag für Hochschulschriften
Weboldal:
https://www.svh-verlag.de
Szerezte:
Borbála Fazekas
Oldalszám:
152
Kiadja:
27.09.2012
Raktárkészlet:
Raktáron
Kategória:
Matematika
Ár:
69,90 €
Kulcsszavak:
Finite Element Method, Numerical Methods, higher order elliptic partial differential equations, computer-assistance

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