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Více informací o knize Computer-assisted enclosures for fourth order elliptic equations

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Anotace knihy

"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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics

• Plný název: Computer-assisted enclosures for fourth order elliptic equations
• Autor: Borbála Fazekas
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 152
• EAN: 9783838118345
• ISBN: 3838118340
• ID: 06936262
• Nakladatelství: Sudwestdeutscher Verlag Fur Hochschulschriften AG
• Hmotnost: 231 g
• Rozměry: 229 × 152 × 9 mm
• Datum vydání: 27. September 2012

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