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

• Main Authors: Zhang, Chao, Wang, Li-Lian, Gu, Dongqin, Liu, Wenjie
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Hermite and Laguerre Differentiation Matrices; New Collocation Schemes
• Online Access: https://hdl.handle.net/10356/141174
• Institution: Nanyang Technological University

In this paper, we provide an explicit, stable and fast means to compute the approximate inverse of Hermite/Laguerre collocation differentiation matrices, and also the approximate inverse of the Hermite/Laguerre collocation matrices of a second-order differential operator. The latter offers optimal p...