Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order -1

We introduce a family of generalized prolate spheroidal wave functions (PSWFs) of order -1, and develop new spectral schemes for second-order boundary value problems. Our technique differs from the differentiation approach based on PSWFs of order zero in Kong and Rokhlin (Appl Comput Harmon Anal 33...

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Bibliographic Details
Main Authors: Zhang, Jing, Wang, Li-Lian, Li, Huiyuan, Zhang, Zhimin
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2017
Subjects:
Online Access:https://hdl.handle.net/10356/85205
http://hdl.handle.net/10220/43677