Conference publications

Abstracts

XIII conference

Two-dimensional smoothing spline approximation

Markov K., Shirkov P.

«Dubna» International university, Universitetskaya 19, Dubna, 141980, Russia, (09621)2-24-71

This paper is devoted to the problem of smoothing of function of two variables for the case of irregular grid. Algorithm of construction of smoothing bi-quadratic spline is described. This algorithm uses the regularization procedure for obtaining coefficients of spline and easily generalized for the case of high order spline approximation.

The problem of smoothing of function of two variables is considered as a problem of minimization of compound functional, which taking into account the «jumps» of second derivatives and deflections of spline from table values under condition of continuity of spline and its first derivatives. With the use of Lagrange method there is found the minimum of function.

For the construction of the system of linear algebraic equations there were used a special code for the Maple software.