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001-es BibID:	BIBFORM045708
Első szerző:	Fazekas Borbála (matematikus)
Cím:	Computer-assisted enclosures for fourth order elliptic equations / Fazekas Borbála
Dátum:	2012
Megjelenés:	Saarbrücken : Südwestdeutscher Verlag für Hochschulschriften, 2012
Terjedelem:	145 p.
Megjegyzések:	"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 elliptic boundary value problems. The main idea of this method is to compute a good numerical approximation of the 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 domians.
ISBN:	978-3-8381-1834-5
Tárgyszavak:	Természettudományok Matematika- és számítástudományok szakkönyv partial differential equations elliptic computer-assisted proofs enclosuremethods fourth order equations boundary value problems
Internet cím:	Intézményi repozitóriumban (DEA) tárolt változat
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