Mathematical and numerical approaches for multiscale problems
E. Cancès, S. Labbé (2012)
ESAIM: Proceedings
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E. Cancès, S. Labbé (2012)
ESAIM: Proceedings
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Anita Dobek (2008)
Discussiones Mathematicae Probability and Statistics
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Mohammad Ali Ardalani (2014)
Studia Mathematica
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We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.
A. Torgašev (1975)
Matematički Vesnik
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Dostál, Michal
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Kazuo Ishihara (1984)
Numerische Mathematik
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M. Życzkowski (1965)
Applicationes Mathematicae
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Z. Kowalski (1963)
Annales Polonici Mathematici
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Rozehnalová, Petra
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Using the high order Trefftz finite element method for solving partial differential equation requires numerical integration of oscillating functions. This integration could be performed, instead of classic techniques, also by the Levin method with some modifications. This paper shortly describes both the Trefftz method and the Levin method with its modification.