Moderne Methoden der Numerischen Mathematik: Tagung vom 10. bis 13. Juni 1975 im Rahmen der 200JahrFeier der Technischen Unive,Used

Moderne Methoden der Numerischen Mathematik: Tagung vom 10. bis 13. Juni 1975 im Rahmen der 200JahrFeier der Technischen Unive,Used

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Der vorliegende Band gibt im wesentlichen Vortrage einer Tagung Modeme Methoden der Numerischen Mathematik wieder, die yom 10. bis 13.Juni 1975 im Rahmen der 200JahrFeier der Technischen Universitat Clausthal stattfand und die durch verschiedene Beispiele sowohl Forschungsschwer punkte als auch Anwendungen in anderen Wissenschaften zeigen sollte. Folgende Gebiete kamen dabei zur Sprache: Eigenwertaufgaben, Iterationen mit expandierenden und mit monotonen Operatoren, nichtlineare Schwin gungen, Approximation, Interpolation und Quadratur, Ausgleichungen, Opti mierung, optimale Steuerung, Diskretisierungsverfahren bei Anfangs und Randwertaufgaben, schnelle FourierTransformationen, Diffusionsgleichun gen in biologischen Modellen und Identifizierungsprobleme. Der Deutschen Forschungsgemeinschaft sei auch an dieser Stelle fUr die Forderung der Tagung gedankt; dem Birkhauser Verlag gilt der Dank fUr die Herausgabe dieses Bandes und fUr seine wie stets gute Ausstattung. L. COLLATZ, J. ALBRECHT INHALTSVERZEICHNIS J. ALBRECHT: Bemerkungen zur NewtonIteration fUr A1I2 und AI 9 P.M. ANSELONE: Nonlinear operator Approximation. . . . . . . . . . . . . . . . . . . . . . . 17 . . . . . . . . ERICH BOHL: Zur Anwendung von Differenzenschemen mit symmetrischen Formeln bei Randwertaufgaben ......................................... 25 HELMUT BRASS: Quadraturverfahren vom Gregoryschen Typ . . . . . . . . . . . . . . . . . 49 . . . . . . HAROLD D. EIDSON, LARRY L. SCHUMAKER: Spline solution of linear initialand boundaryvalue problems ........ 67 ILIO GALLIGANI: Identification problems in electrocardiology . . . . . . . . . . . . . . . . . . 81 . . . . . . FRIEDRICH GOERISCH: Ober eine Methode zum Vergleich von Schranken fUr Eigenwerte ..... 97 PETER HENRICI: Einige Anwendungen der schnellen Fouriertransformation . . . . . . .. . . . III GUNTER MEINARDUS: Algebraische Formulierung von SplineInterpolation en . . . . . . . . .. . . . 125 . P. SPELLUCCI: Algorithms for rational discrete least aquares approximation part I: Unconstrained optimization. . . . . . . . . . . . . . . . . . . . . . . . .. . . 139 . . . . . . . . . H. WERNER: Einige Beispiele kombinatorischer Aufgabenstellungen in den Geistes wissenschaften .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 159 . . . . . . . . . . . . .

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