English

About optimization of methods for mixed derivatives of bivariate functions

Numerical Analysis 2023-09-19 v1 Numerical Analysis

Abstract

The problem of optimal recovering high-order mixed derivatives of bivariate functions with finite smoothness is studied. On the basis of the truncation method, an algorithm for numerical differentiation is constructed, which is order-optimal both in the sense of accuracy and in terms of the amount of involved Galerkin information.

Keywords

Cite

@article{arxiv.2309.09710,
  title  = {About optimization of methods for mixed derivatives of bivariate functions},
  author = {Y. V. Semenova and S. G. Solodky},
  journal= {arXiv preprint arXiv:2309.09710},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2309.05425