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Numerische Behandlung von Differentialgleichungen

Numerische Behandlung von Differentialgleichungen

G. Hämmerlin / L. Collatz / R. Ansorge

84,42 €
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Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Ciencia: cuestiones generales
ISBN:
9783034855334
84,42 €
IVA incluido
Disponible

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Auf dieser von 52 Personen aus 9 Ländern besuchten Tagung über die numeri­ sche Behatldlung von Differentialgleichungen wurde wieder die Anwendungs­ bezogenheit des Gebietes deutlich. Im Mittelpunkt standen eine Reihe von Vorträgen über Diskretisierungsmethoden und Differenzenverfahren. Weitere Themen waren finite Elemente, Eigenwertprobleme und die numerische Be­ handlung von Stiff-Equations. In allen Vorträgen konnte über bemerkenswerte Fortschritte berichtet werden. Dennoch blieben viele Fragen offen. Großes Interesse fanden auch Vorträge aus verschiedenen Anwendungsbereichen der Mathematik, wie z. B. Strömungslehre, Schalentheorie, Wärmeleitungsprobleme Ökonomie, chemische Probleme u. a. Für das Gelingen der Tagung trug zu einem guten Teil die angenehme Atmo­ sphäre des Instituts in Oberwolfach und die wie immer aufmerksame Betreu­ ung durch das Personal bei. Inhaltsverzeichnis E. Bohl: Stabilitätsungleichungen für diskrete Analoga nichtlinearer Randwe- aufgaben . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 H. Brunner: The solution of systems of Stiff nonlinear differential equations by recursive collocation using exponential functions . . . . . . . . . 29 . R. Frank: Schätzungen des globalen Diskretisierungsfehlers bei Runge-Kutta- Methoden . . . . . . . 45 1. Galligani: A regularization method for the identification of environmental systems . . . . . . . . . . . 71 E. Gekeler-W. Gentzsch: Differenzenverfahren für quasilineare parabolische Anfangsrandwe- aufgaben . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 R. B. Guenther: On the numerical treatment of partial differential equations in the neighborhood of isolated singularities with applications . 93 K. P. Hadeler: Nonlinear eigenvalue problems . . . . . . . . . . . 111 W. Höhn Ober die numerische Behandlung von Variationsproblemen mit natür­ lichen Randbedingungen in zwei Dimensionen. . . . . . . . 131 C. Johnson: On finite element methods for curved shells using Hat elements 147 F. Locher: Numerische Lösung linearer Differentialgleichungen mit Hilfe von Cebysev-Entwicklung . . . . . . . . . . . 155 K.

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