An Observation on the Numerical Solution of Difference Equations and a Theorem of Szegö.
S.V. PARTER (1962/63)
Numerische Mathematik
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S.V. PARTER (1962/63)
Numerische Mathematik
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Anita Dobek (2008)
Discussiones Mathematicae Probability and Statistics
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M. Życzkowski (1965)
Applicationes Mathematicae
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E. Cancès, S. Labbé (2012)
ESAIM: Proceedings
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Z. Kowalski (1963)
Annales Polonici Mathematici
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Dostál, Michal
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Bijan Mohammadi, Jukka Tuomela (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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When analysing general systems of PDEs, it is important first to find the involutive form of the initial system. This is because the properties of the system cannot in general be determined if the system is not involutive. We show that the notion of involutivity is also interesting from the numerical point of view. The use of the involutive form of the system allows one to consider quite general situations in a unified way. We illustrate our approach on the numerical solution of several...
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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Křížek, Michal
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George Biddell Airy
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George Biddell Airy
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Illner, R., Rjasanow, S. (1999)
Documenta Mathematica
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Herceg, Dragoslav, Surla, Katarina, Radeka, Ivana, Maličić, Helena (2001)
Novi Sad Journal of Mathematics
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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.