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

• المؤلفون الرئيسيون: Zhang, Jing, Wang, Li-Lian, Li, Huiyuan, Zhang, Zhimin
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2017
• الموضوعات: Generalized prolate spheroidal wave functions of order -1; Helmholtz Equations
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/85205; http://hdl.handle.net/10220/43677

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...