Generalized Hermite Approximations and Spectral Method for Partial Differential Equations in Multiple Dimensions

Author:

Xiang Xin-min,Wang Zhong-qing

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference30 articles.

1. Aguirre, J., Rivas, J.: A spectral viscosity method based on Hermite functions for nonlinear conservation laws. SIAM J. Numer. Anal. 46, 1060–1078 (2008)

2. Bao, W.-z., Li, H.-l., Shen, J.: A generalized Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates. SIAM J. Sci. Comput. 31, 3685–3711 (2009)

3. Bao, W.-z., Shen, J.: A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates. SIAM J. Sci. Comput. 26, 2010–2028 (2005)

4. Bao, W.-z., Jie, S.: A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. J. Comput. Phys. 227, 9778–9793 (2008)

5. Bernardi, C., Maday, Y.: Spectral methods. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, pp. 209–486. Elsevier, Amsterdam (1997)

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