Publication Info
- Title:
- Effective utilization of previously calculated data in the scheme of iteratively refining Sinc approximations (In Ukrainian)
- Type:
- Article
- Status:
- Published
- Journal:
- Collected works of Institute of mathematics of National Academy of Sciences, 2014, v. 11 (4)
Abstract
We study the problem on how to reuse the previously calculated values of approximated function in the scheme of iteratively refining sequence of Sinc approximations. The proposed method is based upon the collocation of a current step Sinc approximation to the given function on the set of points where the function values are already known from the Sinc approximations calculated in previous steps. Theoretical considerations are supported by several numerical examples.