Name
Title | ||
|---|---|---|
Mixed Fourier-Laguerre Spectral and Pseudospectral Methods for Exterior Problems Using Generalized Laguerre Functions |
Abstract | ||
|---|---|---|
In this paper, we develop the mixed spectral and pseudospectral methods for two-dimensional exterior problems, by using the scaled generalized Laguerre functions. Some basic results on the mixed Fourier-Laguerre orthogonal approximation and Gauss-type interpolation are established, which play important roles in the related spectral and pseudospectral methods. As an example, we propose the mixed spectral and pseudospectral schemes for a model problem. The convergence of proposed schemes are proved. Numerical results demonstrate the spectral accuracy efficiency of this new approach. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s10915-008-9189-5 | J. Sci. Comput. |
Keywords | Field | DocType |
pseudospectral method,related spectral,spectral accuracy efficiency,basic result,important role,laguerre function,pseudospectral scheme,mixed fourier-laguerre orthogonal approximation and gauss-type interpolation · mixed spectral and pseudospectral methods for exterior problems,mixed spectral,mixed fourier-laguerre orthogonal approximation,mixed fourier-laguerre spectral,pseudospectral methods,gauss-type interpolation,generalized laguerre functions | Convergence (routing),Chebyshev pseudospectral method,Mathematical optimization,Laguerre polynomials,Mathematical analysis,Interpolation,Fourier transform,Pseudospectral optimal control,Gauss pseudospectral method,Legendre pseudospectral method,Mathematics | Journal |
Volume | Issue | ISSN |
36 | 2 | 1573-7691 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rong Zhang | 1 | 0 | 0.68 |
| Zhong-qing Wang | 2 | 140 | 20.28 |
| Ben-yu Guo | 3 | 475 | 65.54 |