Email this article On families high-order accurate multioperator approximations of derivatives using two-point operators
- Authors: Tolstykh A.I.1,2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 95, No 2 (2017)
- Pages: 136-139
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224897
- DOI: https://doi.org/10.1134/S1064562417020077
- ID: 224897
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Abstract
A new family of multioperator approximations to derivatives of even and odd orders with inversion of two-point operators is considered. Existence and uniqueness theorems are stated for multioperators of formally arbitrary orders, and their spectral properties are examined. A scheme for a test hyperbolic equation with a multioperator approximation of 36th order is analyzed as an example. The accuracy and convergence of numerical solutions to the test problem are estimated.
About the authors
A. I. Tolstykh
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: tol@ccas.ru
Russian Federation, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141700
