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On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains

  • Published:2018-12 Issue: Volume:344 Page:553-571
  • ISSN:0377-0427
  • Container-title:Journal of Computational and Applied Mathematics
  • language:en
  • Short-container-title:Journal of Computational and Applied Mathematics

Author:

Zhang Chao,Wang Li-Lian,Gu Dongqin,Liu Wenjie

Funder

NSF of China

Priority Academic Program Development of Jiangsu Higher Education Institutions

Singapore MOE AcRF Tier 1

China Postdoctoral Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference47 articles.

1. Spectral methods;Bernardi,1997

2. Chebyshev and Fourier Spectral Methods;Boyd,2001

3. Spectral Methods: Fundamentals in Single Domains;Canuto,2006

4. Spectral Methods for Time-Dependent Problems;Hesthaven,2007

5. Implementing spectral methods for partial differential equations;Kopriva,2009

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications;Numerical Mathematics: Theory, Methods and Applications;2023-06

2. Well-Conditioned Spectral Collocation Methods for Problems in Unbounded Domains;Numerical Mathematics: Theory, Methods and Applications;2020-06

3. ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations;East Asian Journal on Applied Mathematics;2020-06

4. A New Spectral Method Using Nonstandard Singular Basis Functions for Time-Fractional Differential Equations;Communications on Applied Mathematics and Computation;2019-03-14
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