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MOR-Anwendungen
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ISBN10: 6207820134
ISBN13: 9786207820139
Publisher: Verlag Unser Wissen
Published: May 27 2025
Pages: 52
Weight: 0.18
Height: 0.12 Width: 6.00 Depth: 9.00
Language: German
ISBN13: 9786207820139
Publisher: Verlag Unser Wissen
Published: May 27 2025
Pages: 52
Weight: 0.18
Height: 0.12 Width: 6.00 Depth: 9.00
Language: German
Die Modellordnungsreduktion ist eine Technik zur Verringerung der rechnerischen Komplexität mathematischer Modelle in numerischen Simulationen. In den letzten Jahren hat sich die Modellreduktion zu einem allgegenwärtigen Werkzeug in einer Vielzahl von Anwendungsbereichen entwickelt und ist damit zu einem Forschungsschwerpunkt für viele Mathematiker und Ingenieure geworden. In diesem Buch werden gemischte Methoden zur Ordnungsreduktion eingesetzt. Das Nennerpolynom des reduzierten Modells wird unter Verwendung der modifizierten Polclusterung, der Stabilitätsgleichungsmethode und der Routh-Methode erhalten. Der Zähler wird durch Faktorzerlegungsmethode und Pade-Approximation erhalten. Fünf gemischte Methoden - Pade-Approximation, modifiziertes Pole-Clustering, Faktorzerlegungsmethode, Stabilitätsgleichungsmethode, Pade-Approximation, Routh-Methode, Faktorzerlegungsmethode-Routh-Methode und Pade-Approximation-Stabilitätsgleichungsmethode - wurden zur Reduktion eines Systems höherer Ordnung 8. Ordnung auf reduzierte Modelle zweiter Ordnung verwendet.
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