Approximation of solutions of nonlinear heat transfer problems.
Approximation of solutions of nonlinear initial-value problems by B-spline functions
This note is motivated by [GGG], where an algorithm finding functions close to solutions of a given initial value-problem has been proposed (this algorithm has been recalled in Theorem 2.2). In this paper we present a commonly used definition and basic facts concerning B-spline functions and use them to improve the mentioned algorithm. This leads us to a better estimate of the Cauchy problem solution under some additional assumption on f appearing in the Cauchy problem. We also estimate the accuracy...
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 resonance boundary-value problems of elliptic type with a discontinuous nonlinearity.
Approximation of the Sobolev trace constant.
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 Tricomi Problem with Neumann Boundary Condition.
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 polynomiale des fonctions et analytiques
Approximation semi-classique de la phase de diffusion pour un potentiel (d'après un travail de D. Robert et H. Tamura)
Approximation semi-classique de l'équation de Heisenberg
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 theorems of Wong-Zakai type for stochastic differential equations in infinite dimensions [Book]
Approximation theories for inertial manifolds
Approximationen für das Cauchyproblem bei parabolischen Differentialgleichungen durch endlich viele Differenzendifferentialgleichungen
Approximations de type Hedberg dans les espaces et applications
Approximations of effective coefficients in stochastic homogenization