Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions-Reference-Cited by-同舟云学术

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Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions

Published:2016-10-20 Issue:3 Volume:33 Page:701-720
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

Luo Wei-Hua,Huang Ting-Zhu,Li Liang,Li Hou-Biao,Gu Xian-Ming

Funder

the Scientific Reserch Fund of Sichuan Provincial Education Department

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

http://link.springer.com/content/pdf/10.1007/s13160-016-0225-9.pdf

Reference38 articles.

1. de Boor, C., Swartz, B.: Collocation at Gaussian points. SIAM J. Numer. Anal. 10(4), 582–606 (1973)

2. Kammerer, W.J., Reddien, G.W., Varga, R.S.: Quadratic interpolatory splines. Numer. Math. 22, 241–259 (1974)

3. Khalifa, A.K.A., Eilbeck, J.C.: Collocation with quadratic and cubic splines. IMA J. Numer. Anal. 2, 111–121 (1982)

4. Sakai, M., Usmani, R.A.: Quadratic spline solutions and two-point boundary value problems. Publ. Res. Inst. Math. Sci. Kyoto Univ. 19, 7–13 (1983)

5. Houstis, E.N., Christara, C.C., Rice, J.R.: Quadratic-spline collocation methods for two-point boundary value problems. J. Numer. Methods Eng. 26, 935–952 (1988)

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