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- Title
Application of Fourier Truncation Method to Numerical Differentiation for Bivariate Functions.
- Authors
Semenova, Evgeniya V.; Solodky, Sergiy G.; Stasyuk, Serhii A.
- Abstract
The problem of numerical differentiation for periodic bivariate functions with finite smoothness is studied. To achieve stable approximations, we investigate some variants of the Fourier truncation method. Estimates of the accuracy and volume of the used Fourier coefficients are found for the constructed methods. We perform numerical experiments that confirm correctness of our theoretical conclusions.
- Subjects
NUMERICAL differentiation; SEPARATION of variables; PERIODIC functions; SMOOTHNESS of functions
- Publication
Computational Methods in Applied Mathematics, 2022, Vol 22, Issue 2, p477
- ISSN
1609-4840
- Publication type
Article
- DOI
10.1515/cmam-2020-0138