An approximation of tabulated function.
An error analysis for absolute and relative approximation.
An extension of A. Ostrowski's Theorem on the round-off stability of iterations.
An optimal sequential algorithm for the uniform approximation of convex functions on .
Application of splines for determining the velocity characteristic of a medium from a vertical seismic survey
A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from several shotpoints,...
Approximants de Padé-Hermite. 1ère partie: théorie.
Approximants de Padé-Hermite. 2ème partie: programmation.
Approximate Fekete points for weighted polynomial interpolation.
Approximating poles of complex rational functions.
Approximation by Hill functions. II.
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.