A new generalized Laguerre spectral approximation and its applications

Journal of Computational and Applied Mathematics

Volumn 184, Issue 2, 2005, Pages 382-403

  Guo, Ben yu ^a,b   Zhang, Xiao yong ^c  

^a SHANGHAI NORMAL UNIVERSITY   (China)

^b Shanghai Universitie   (China)

^c SHANGHAI MARITIME UNIVERSITY   (China)

Author keywords

Mixed spherical harmonic generalized Laguerre spectral method; New generalized Laguerre approximation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; POLYNOMIALS;

MIXED SPHERICAL HARMONIC-GENERALIZED LAGUERRE SPECTRAL METHOD; NEW GENERALIZED LAGUERRE APPROXIMATION;

APPROXIMATION THEORY;

EID: 23844446480     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.01.017     Document Type: Article

References (14)

1. J. Bergh J. Löfström Interpolation Spaces, An Introduction 1976 Springer Berlin
2. R. Couant, D. Hilbert, Methods of Mathematical Physics, vol. 1, Interscience, New York, 1953.
3. D. Funaro Polynomial Approximations of Differential Equations 1992 Springer Berlin
4. D. Funaro O. Kavian Approximation of some diffusion evolution equations in unbounded domains by Hermite functions Math. Comp. 57 1991 597-619
5. Guo Ben-yu A spectral method for the vorticity equation on the surface Math. Comp. 64 1995 1067-1079
6. Guo Ben-yu Error estimation for Hermite spectral method for nonlinear partial differential equations Math. Comp. 68 1999 1067-1078
7. Guo Ben-Yu Xu Cheng-Long Hermite pseudospectral method for nonlinear partial differential equations Math. Model. Numer. Anal. 34 2000 859-872
8. Guo Ben-yu Xu Cheng-Long Mixed Laguerre-Legendre pseudospectral method for incompressible flow in an infinite strip Math. Comp. 73 2003 95-125
9. Benyu Guo Jie Shen Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval Numer. Math. 86 2000 635-654
10. Ben-yu Guo, Jie Shen, Cheng-long Xu, Generalized Laguerre approximation and its applications to exterior problems, J. Comput. Math. 23 (2005) 113-130.
11. Y. Maday B. Pernaud-Thomas H. Vandeven Reappraisal of Laguerre type spectral methods La Recherche Aerospatiale 6 1985 13-35
12. G. Mastroianni G. Monegato Nyström interpolants based on zeros of Laguerre polynomials for some Wiener-Hopf equations IMA J. Numer. Anal. 17 1997 621-642
13. Jie Shen Stable and efficient spectral methods in unbounded domains using Laguerre functions SIAM J. Numer. Anal. 38 2000 1113-1133
14. Xu Cheng-long Guo Ben-yu Laguerre pseudospectral method for nonlinear partial differential equations J. Comput. Math. 20 2002 413-428