Numerische Methoden Der Approximationstheorie: Band 1
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Das Mathematische Forschungsinstitut Oberwolfach veranstaltet seit längerer Zeit in etwa zweijährigem Turnus Tagungen über numerische Methoden der Approximationstheorie. Die Vortragsauszüge der diesjährigen Tagung, die vom 13. bis 19. Juni stattfand, sind in dem vorliegenden Band zusammengefa t. Die Themen lassen erkennen, da es ein besonderes Anliegen der Tagungsleiter war, die Kluft zwischen abstrakter Mathematik und den Anwendungen verringern zu helfen. Approximationstheoretische Fragestellungen scheinen geeignet zu sein, hier neue Brü ken zu schlagen. Der starke Zustrom ausländischer Mathe- matiker, insbesondere aus Übersee, zeigt, da diese Bestrebungen auch in an- deren Ländern Resonanz finden. In zunehmendem Ma e sind solche aus den (au er-und innermathematischen) Anwendungen herrührenden Fragestellungen zu behandeln, die sich nicht in klassische Approximationstheorie einordnen lassen. So wurde z. B. von Ver- tretern der Nachrichtentechnik über in ihrem Bereich auftretende ungewöhnliche Approximationsprobleme berichtet. Andere Vorträge beschäftigten sich mit Approximationsfragen, die aus gewissen Aufgaben der angewandten Mathematik erwachsen (z. B. Behandlung von Differential-und Integralgleichungen). Zwei weitere Schwerpunkte bildeten die Beziehungen zur Optimierungstheorie, die insbesondere zu effektiven numerischen Verfahren führen, sowie Untersuchun- gen über Spline-Approximationen. Professor Steckin aus Moskau war leider an der Teilnahme verhindert und hat statt dessen das hier abgedruckte Manuskript übersandt.
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