Optimization of methods for mixed derivatives of bivariate functions
The problem of optimal recovering high-order mixed derivatives of bivariate functions is studied. For numerical differentiation, a new version of the truncation method is proposed. It is established that this algorithm is order-optimal both in the sense of accuracy and in terms of the amount of involved discrete information.
Authors
- S. G. Solodky (ORCID: https://orcid.org/0000-0001-7599-2233)
- Y. V. Semenova (ORCID: https://orcid.org/0009-0007-4588-8006)
Institutions
- National Academy of Sciences of Ukraine (UA)
- Institute of Mathematics (UA)
- Justus-Liebig-Universität Gießen (DE)
- Giessen School of Theology (DE)
Publication Details
- Journal
- International Journal of Wavelets Multiresolution and Information Processing
- Published
- 2024-12-27
- DOI
- https://doi.org/10.1142/s0219691324500656
- Citations
- 1
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.97