Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order $$-1$$-Reference-Cited by-同舟云学术

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

Published:2016-07-25 Issue:2 Volume:70 Page:451-477
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Zhang Jing,Wang Li-Lian,Li Huiyuan,Zhang Zhimin

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Singapore MOE AcRF Tier 1

Singapore MOE AcRF Tier 2 Grant

Division of Mathematical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-016-0253-2.pdf

Reference28 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover, New York (1972)

2. Al-Gwaiz, M.A.: Sturm–Liouville Theory and Its Applications. Springer, Berlin (2008)

3. Arfken, G.B., Weber, H.J.: Mathematical Methods for Physicists. Harcourt/Academic Press, San Diego (2001)

4. Babuška, I., Sauter, S.A.: Is the pollution effect of the FEM avoidable for the Helmholtze equation considering high wave number? SIAM Rev. 34(6), 2392–2423 (1997)

5. Bouwkamp, C.J.: On the theory of spheroidal wave functions of order zero. Ned. Akad. Wetensch. Proc. 53, 931–944 (1950)

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