Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


Approximation of functions and quadrature formulas

On polyharmonic tension spline approximation

Kvasov B.I.

Istitute of Computational Technologies SB RAS (Novosibirsk)

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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