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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István Faragó, Miklós Emil Mincsovics, Rahele Mosleh (2018)
Applications of Mathematics
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We investigate biological processes, particularly the propagation of malaria. Both the continuous and the numerical models on some fixed mesh should preserve the basic qualitative properties of the original phenomenon. Our main goal is to give the conditions for the discrete (numerical) models of the malaria phenomena under which they possess some given qualitative property, namely, to be between zero and one. The conditions which guarantee this requirement are related to the time-discretization...