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Barycentric prolate interpolation and pseudospectral differentiation
- Source :
- Numerical Algorithms. 88:793-811
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- In this paper, we provide further illustrations of prolate interpolation and pseudospectral differentiation based on the barycentric perspectives. The convergence rates of the barycentric prolate interpolation and pseudospectral differentiation are derived. Furthermore, we propose the new preconditioner, which leads to the well-conditioned prolate collocation scheme. Numerical examples are included to show the high accuracy of the new method. We apply this approach to solve the second-order boundary value problem and Helmholtz problem.
- Subjects :
- Preconditioner
Applied Mathematics
Numerical analysis
010103 numerical & computational mathematics
Barycentric coordinate system
Collocation (remote sensing)
01 natural sciences
010101 applied mathematics
Theory of computation
Convergence (routing)
Applied mathematics
Boundary value problem
0101 mathematics
Mathematics
Interpolation
Subjects
Details
- ISSN :
- 15729265 and 10171398
- Volume :
- 88
- Database :
- OpenAIRE
- Journal :
- Numerical Algorithms
- Accession number :
- edsair.doi...........d1c9ee9d917eb0981cb6fbb64e90dace