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- W2356363532 abstract "In this paper, we review some results on the spectral methods. We frst consider the Jacobi spectral method and the generalized Jacobi spectral method for various problems, including degenerated and singular diferential equations. Then we present the generalized Jacobi quasi-orthogonal approximation and its applications to the spectral element methods for high order problems with mixed inhomogeneous boundary conditions.We also discuss the related spectral methods for non-rectangular domains and the irrational spectral methods for unbounded domains. Next, we consider the Hermite spectral method and the generalized Hermite spectral method with their applications. Finally, we consider the Laguerre spectral method and the generalized Laguerre spectral method for many problems defned on unbounded domains. We also present the generalized Laguerre quasi-orthogonal approximation and its applications to certain problems of non-standard type and exterior problems." @default.
- W2356363532 created "2016-06-24" @default.
- W2356363532 creator A5012718341 @default.
- W2356363532 date "2013-01-01" @default.
- W2356363532 modified "2023-09-28" @default.
- W2356363532 title "Some progress in spectral methods Dedicated to Professor Shi Zhong-Ci on the Occasion of his 80th Birthday" @default.
- W2356363532 hasPublicationYear "2013" @default.
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