Quadratic form schemes with non-trivial radical
L. Szczepanik (1985)
Colloquium Mathematicae
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L. Szczepanik (1985)
Colloquium Mathematicae
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Szyjewski, Marek (1996)
Documenta Mathematica
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Mieczyslaw Kula (1979)
Mathematische Zeitschrift
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M. Kula, L. Szczepanik, K. Szymiczek (1979)
Manuscripta mathematica
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Mustafa, Ghulam, Khan, Faheem (2009)
Abstract and Applied Analysis
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Elomary, Mohamed Abdou (2003)
International Journal of Mathematics and Mathematical Sciences
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Michael Breuss (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We discuss the occurrence of oscillations when using central schemes of the Lax-Friedrichs type (LFt), Rusanov's method and the staggered and non-staggered second order Nessyahu-Tadmor (NT) schemes. Although these schemes are monotone or TVD, respectively, oscillations may be introduced at local data extrema. The dependence of oscillatory properties on the numerical viscosity coefficient is investigated rigorously for the LFt schemes, illuminating also the properties of Rusanov's...
Knus, Max-Albert, Villa, Oliver (2001)
Documenta Mathematica
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Lisbona, F. J., Vabishchevich, P. N. (2001)
Computational Methods in Applied Mathematics
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Arnold K. Pizer (1976)
Journal für die reine und angewandte Mathematik
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Svetozar Kurepa (1987)
Publications de l'Institut Mathématique
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