Name
Title | ||
|---|---|---|
Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains |
Abstract | ||
|---|---|---|
In this paper, we develop a spectral method based on generalized Hermite functions with weight $\chi(x)\equiv1$. We also establish some basic results on generalized Hermite orthogonal approximations, which play an important role in spectral methods. As examples, the generalized Ginzburg-Landau equation in a population problem and an elliptic equation with a harmonic potential are considered. Related spectral schemes are proposed, and their convergence is proved. Numerical results demonstrate the spectral accuracy of this approach. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1137/090773581 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
generalized ginzburg-landau equation,spectral accuracy,important role,generalized hermite spectral method,elliptic equation,spectral method,harmonic potential,unbounded domains,generalized hermite orthogonal approximation,related spectral scheme,basic result,generalized hermite function | Convergence (routing),Population,Mathematical optimization,Hermite functions,Mathematical analysis,Harmonic,Hermite polynomials,Spectral method,Hermite interpolation,Elliptic curve,Mathematics | Journal |
Volume | Issue | ISSN |
48 | 4 | 0036-1429 |
Citations | PageRank | References |
11 | 0.76 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xin-min Xiang | 1 | 17 | 1.71 |
| Zhong-qing Wang | 2 | 140 | 20.28 |