Mathematics of Computation

Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip

Author(s): Ben-yu Guo; Cheng-long Xu.
Journal: Math. Comp. 73 (2004), 95-125.
MSC (2000): Primary 65M70, 41A30, 35Q30
Posted: June 19, 2003
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Abstract: In this paper, we investigate the mixed Laguerre-Legendre interpolation approximation and its application. Some approximation results are established. A mixed Laguerre-Legendre pseudospectral scheme is constructed for incompressible fluid flow in an infinite strip. Its stability and convergence are proved. Numerical results show the efficiency of this new approach.

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Retrieve articles in Mathematics of Computation with MSC (2000): 65M70, 41A30, 35Q30

Ben-yu Guo
Affiliation: Shanghai E-Institute for Scientific Computation, Department of Mathematics, Shanghai Normal University, Shanghai, 200234, Peoples Republic of China

Cheng-long Xu
Affiliation: Department of Applied Mathematics, Tongji University, Shanghai, 200092, Peoples Republic of China

DOI: 10.1090/S0025-5718-03-01521-7
PII: S 0025-5718(03)01521-7
Keywords: Incompressible fluid flow, infinite strip, Laguerre-Legendre pseudospectral method
Received by editor(s): August 16, 2001
Received by editor(s) in revised form: April 12, 2002
Posted: June 19, 2003
Additional Notes: The work of the first author is partially supported by The Special Founds for Major State Basic Research Projects of China G1999032804 and The Shanghai Natural Science Foundation N.00JC14057
Copyright of article: Copyright 2003, American Mathematical Society

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