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 Ein Modellattraktor fuer eine parabolische Differentialgleichung Analysis und Numerik von Attraktoren fuer die Finite-Elemente-Methode.
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Ein Modellattraktor fuer eine parabolische Differentialgleichung Analysis und Numerik von Attraktoren fuer die Finite-Elemente-Methode.

автор Denny O. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 208        мягкая обложка       
Аннотация:Darauf aufbauend werden Existenz-, Konsitenz-, Stabilitaets- und Konvergenzaussagen fuer die Finite-Elemente-Methode sowie fuer das implizite Euler-Verfahren hergeleitet. Das letzte Kapitel enthaelt als Anwendungsbeispiel die Chafee-Infante-Gleichung, deren Bifurkationsanalyse, eine ausfuehrliche Herleitung der Gleichungssysteme sowie zahlreiche mittels GAIO und MATCONT erzielte numerische Resultate. Dieses Werk praesentiert nach einer kurzen Einfuehrung mit Anwendungsgebieten eine umfassende Existenz- und Regularitaetstheorie fuer polynomial beschraenkte Nichtlinearitaeten. Fuer zusaetzlich dissipative Nichtlinearitaeten wird mittels Lyapunov-Funktionalen und absorbierenden Mengen die Existenz und Oberhalbstetigkeit des globalen Attraktors nachgewiesen. Attraktoren semilinearer parabolischer Differentialgleichungen treten in einer Vielzahl naturwissenschaftlicher und medizinischer Anwendungen auf und lassen sich leider nur selten analytisch berechnen. Daher greift man in der Praxis zu deren Approximation haeufig auf numerischen Verfahren zurueck. Der umfangreiche Anhang saemtlicher fuer das Verstaendnis der Arbeit notwendigen Grundlagen bietet dem Leser alle erforderlichen Hilfsmittel.
Автор: Denny O.
Издательство: Книга по Требованию
Год:2010
Цена:
3095 руб
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Поиск: Ein Modellattraktor fuer eine parabolische Differentialgleichung Analysis und Numerik von Attraktoren fuer die Finite-Elemente-Methode.
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
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