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This paper is concerned with the coupling of two models for the
propagation of particles in scattering media. The first model is a
linear transport equation of Boltzmann type posed in the phase space
(position and velocity). It accurately describes the physics but is
very expensive to solve. The second model is a diffusion equation
posed in the physical space. It is only valid in areas of high
scattering, weak absorption, and smooth physical coefficients, but
its numerical solution is...
Soient une surface de l’espace euclidien et un ensemble de triangles euclidiens formant une approximation linéaire par morceaux de autour d’un point la courbure discrète ponctuelle au sommet de est, par définition, le quotient du défaut angulaire par la somme des aires des triangles ayant comme sommet. Un problème naturel est d’estimer la différence entre cette courbure discrète et la courbure lisse de en Nous présentons dans cet article des résultats obtenus dans [4], [5],...
Damos un procedimiento de detección de outliers para muestras procedentes de poblaciones normales bivariantes, que viene dado por el cuadrado de la distancia entre matrices de sumas de cuadrados y sumas de productos de observaciones muestrales, la cual se ha obtenido a partir de la forma métrica diferencial de Maas.
Natural cubic interpolatory splines are known to have a minimal -norm of its second derivative on the (or class of interpolants. We consider cubic splines which minimize some other norms (or functionals) on the class of interpolatory cubic splines only. The cases of classical cubic splines with defect one (interpolation of function values) and of Hermite splines (interpolation of function values and first derivatives) with spline knots different from the points of interpolation are discussed....
Our primary goal in this preamble is to highlight the best of Vasil Popov’s
mathematical achievements and ideas. V. Popov showed his extraordinary talent
for mathematics in his early papers in the (typically Bulgarian) area of approximation
in the Hausdorff metric. His results in this area are very well presented
in the monograph of his advisor Bl. Sendov, “Hausdorff Approximation”.
We first define the curvature indices of vertices of digital objects. Second, using these indices, we define the principal normal vectors of digital curves and surfaces. These definitions allow us to derive the Gauss-Bonnet theorem for digital objects. Third, we introduce curvature flow for isothetic polytopes defined in a digital space.
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