Институт вычислительной математики
и математической геофизики

Abstracts

Approximation of functions and quadrature formulas

This paper addresses a new approach in solving the problem of tension spline approximation. Based on the formulation of the latter problem as a differential multipoint boundary value problem for polyharmonic tension spline we consider its finite-difference approximation. The resulting system of linear equations can be efficiently solved by successive over-relaxation (SOR) iterative method or using finite-difference schemes in fractional steps. We consider the basic computational aspects and illustrate the main advantages of this original approach.

Note. Abstracts are published in author's edition

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