Approximation by circular splines for solutions of ordinary differential equations
Approximation de quelques problèmes de type Stokes par une méthode d'èlements finis mixtes.
Approximation of eigenvalues of differential equations with non-smooth coefficients
Approximation of magnetic lines using the Lie transformation. (Approximation des lignes magnétiques utilisant la transformation Lie.)
Approximation of solutions of a difference-differential equation
In the present paper we study the approximate solutions of a certain difference-differential equation under the given initial conditions. The well known Gronwall-Bellman integral inequality is used to establish the results. Applications to a Volterra type difference-integral equation are also given.
Approximation of solutions to second order nonlinear Picard problems with Carathéodory right-hand side
We present an approximation method for Picard second order boundary value problems with Carathéodory righthand side. The method is based on the idea of replacing a measurable function in the right-hand side of the problem with its Kantorovich polynomial. We will show that this approximation scheme recovers essential solutions to the original BVP. We also consider the corresponding finite dimensional problem. We suggest a suitable mapping of solutions to finite dimensional problems to piecewise constant...
Approximation of the Solution of a Fourth Order Boundary Value Problem with Nonsmooth Coefficient.
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.
Approximations and error bounds for computing the inverse mapping
In this paper we propose a procedure to construct approximations of the inverse of a class of differentiable mappings. First of all we determine in terms of the data a neighbourhood where the inverse mapping is well defined. Then it is proved that the theoretical inverse can be expressed in terms of the solution of a differential equation depending on parameters. Finally, using one-step matrix methods we construct approximate inverse mappings of a prescribed accuracy.
A-priori Error Estimates of Galerkin Backward Differentiation Methods in Time-Inhomogeneous Parabolic Problem.
A-stable block implicit methods containing second derivatives
Asymptotic Bounds on the Errors of One-Step Methods.
Asymptotic Error Estimation for One-Step Methods Based on Quadrature.
Asymptotic Error Expansions for Stiff Equations: an Analysis for the Implicit Midpoint and Trapezoidal Rules in the Strongly Stiff Case.
Asymptotic Expansions of the Global Error of Fixed-Stepsize Methods.
Asymptotic numerical method for singularly perturbed third order ordinary differential equations with a discontinuous source term.
Asymptotic Stability Analysis of ...-Methods for Functional Differential Equations.
Aufspaltungen linearer gewöhnlicher Differentialoperatoren und der zugehörigen Greenschen Funktion.
B-Convergence of Lobatto IIIC Formulas.
B-Convergence Properties of Defect Correction Methods. I.