Superconvergence and fast implementation of the barycentric prolate differentiation
Tian, Yan1
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作者信息
1. Beijing Computat Sci Res Ctr
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Abstract
First, we study the superconvergence properties of the prolate interpolation and differen-tiation. Advantages over the polynomial-based results can be observed in approximating and solving differential equation. Then we propose the fast implementation of the second order barycentric prolate differentiation by the fast multipole method (FMM) and the optimal convergence rate is given. Effectiveness and accuracy of the proposed method are tested by numerical examples.(C) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier