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

• Main Authors: Zhang, Jing, Wang, Li-Lian, Li, Huiyuan, Zhang, Zhimin
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2017
• Subjects: Generalized prolate spheroidal wave functions of order -1; Helmholtz Equations
• Online Access: https://hdl.handle.net/10356/85205; http://hdl.handle.net/10220/43677
• Institution: Nanyang Technological University

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...