Approach of functions of two variables by 2D cubic interpolational splines on triangulational grid of knots

Authors

  • О. М. Литвин Ukrainian Engineering and Pedagogical Academy, Ukraine
  • О. О. Литвин Ukrainian Engineering and Pedagogical Academy, Ukraine
  • Л. С. Лобанова Ukrainian Engineering and Pedagogical Academy, Ukraine
  • О. І. Денисова Ukrainian Engineering and Pedagogical Academy, Ukraine

Abstract

Results of theoretical and numerical research of advantages of the constructed obvious formulas for interpolational cubic splines of two variables on triangulational grid of knots, offered earlier in works by M.Zlamala and A.Zhenisheka, are stated. These obvious formulas do not demand the decision of system of the linear algebraic equations for each triangle of a triangulation separately, that, according to authors of given article, will promote expansion of their applications in various sections of calculus mathematics.

Author Biographies

О. М. Литвин, Ukrainian Engineering and Pedagogical Academy

Doctor of Physical and Mathematical Sciences

О. О. Литвин, Ukrainian Engineering and Pedagogical Academy

Candidate of Physical and Mathematical Sciences

Л. С. Лобанова, Ukrainian Engineering and Pedagogical Academy

Candidate of Physical and Mathematical Sciences

Published

2012-06-29

Issue

Section

Applied mathematics