Approximating value functions for controlled degenerate diffusion processes by using piece-wise constant policies.
Approximation de la solution de viscosité d'un problème d'Hamilton-Jacobi.
Approximation numérique de certaines équations paraboliques non linéaires
Approximation of attractors for multivalued random dynamical systems
Approximation of crystalline dendrite growth in two space dimensions.
Approximation of Hopf Bifurcation.
Approximation of parabolic equations using the Wasserstein metric
Approximation of Parabolic Equations Using the Wasserstein Metric
We illustrate how some interesting new variational principles can be used for the numerical approximation of solutions to certain (possibly degenerate) parabolic partial differential equations. One remarkable feature of the algorithms presented here is that derivatives do not enter into the variational principles, so, for example, discontinuous approximations may be used for approximating the heat equation. We present formulae for computing a Wasserstein metric which enters into the variational...
Approximation of singularly perturbed parabolic reaction-diffusion equations with nonsmooth data.
Approximation of solutions of nonlinear heat transfer problems.
Approximation of solutions to evolution integrodifferential equations.
Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems.
In this paper, we concern ourselves with uniqueness results for an elliptic-parabolic quasilinear partial differential equation describing, for instance, the pressure of a fluid in a three-dimensional porous medium: within the frame of mathematical modeling of the secondary recovery from oil fields, the handling of the component conservation laws leads to a system including such a pressure equation, locally elliptic or parabolic according to the evolution of the gas phase.
Approximation of the viscosity solution of a Hamilton-Jacobi problem.
In this paper, a mathematical analysis of in-situ biorestoration is presented. Mathematical formulation of such process leads to a system of non-linear partial differential equations coupled with ordinary differential equations. First, we introduce a notion of weak solution then we prove the existence of at least one such a solution by a linearization technique used in Fabrie and Langlais (1992). Positivity and uniform bound for the substrates concentration is derived from the maximum principle...
Approximation of Time-Dependent Free Boundaries
Approximation of viscosity solution by morphological filters
Approximation of viscosity solution by morphological filters
We consider in all curvature equation where G is a nondecreasing function and curv(u) is the curvature of the level line passing by x. These equations are invariant with respect to any contrast change u → g(u), with g nondecreasing. Consider the contrast invariant operator . A Matheron theorem asserts that all contrast invariant operator T can be put in a form . We show the asymptotic equivalence of both formulations. More precisely, we show that all curvature equations can be obtained...
Approximation theorem for evolution operators
This paper is devoted to the study of the approximation problem for the abstract hyperbolic differential equation u'(t) = A(t)u(t) for t ∈ [0,T], where A(t):t ∈ [0,T] is a family of closed linear operators, without assuming the density of their domains.
Approximation theories for inertial manifolds
Approximationen für das Cauchyproblem bei parabolischen Differentialgleichungen durch endlich viele Differenzendifferentialgleichungen
Approximations of effective coefficients in stochastic homogenization