Powerful amicable numbers
Paul Pollack (2011)
Colloquium Mathematicae
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Paul Pollack (2011)
Colloquium Mathematicae
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Jerzy Pogonowski (2018)
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
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Tłumaczenie
M. Chrobak, M. Habib, P. John, H. Sachs, H. Zernitz, J. R. Reay, G. Sierksma, M. M. Sysło, T. Traczyk, W. Wessel (1987)
Applicationes Mathematicae
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Willi Egger (2011)
Zpravodaj Československého sdružení uživatelů TeXu
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There is still al lot to be considered until we can hold a finished book in our hands, after the content is ready. In this article an overview on possible page arrangement schemes is presented. Although ConTeXt already has a considerable range of possibilities built in, more arranging schemes will be added in the near future, in order to make ConTeXt even more versatile.
Tomáš J. Kepka, Petr C. Němec (2019)
Commentationes Mathematicae Universitatis Carolinae
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One unusual inequality is examined.
Hans Hagen (2011)
Zpravodaj Československého sdružení uživatelů TeXu
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The paper presents development, new features and tools of LuaTeX and ConTeXtMkIV.
Claude Le Bris, Anthony T. Patera (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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Heinz Neudecker (2004)
SORT
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The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.
Steve Bryson, Yekaterina Epshteyn, Alexander Kurganov, Guergana Petrova (2011)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves “lake at rest” steady states and guarantees the positivity of the computed fluid depth. Moreover, it can be applied to models with discontinuous bottom topography and irregular channel widths. We demonstrate these features of the new scheme, as well as its high resolution and robustness in a number of numerical examples. ...
Thierry Gallouët, Jean-Marc Hérard, Nicolas Seguin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The present paper is devoted to the computation of single phase or two phase flows using the single-fluid approach. Governing equations rely on Euler equations which may be supplemented by conservation laws for mass species. Emphasis is given on numerical modelling with help of Godunov scheme or an approximate form of Godunov scheme called VFRoe-ncv based on velocity and pressure variables. Three distinct classes of closure laws to express the internal energy in terms of pressure,...
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...
Sendova, Evgenia (2015)
Serdica Journal of Computing
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Interviews
Robert Eymard, Cindy Guichard, Raphaèle Herbin (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.