Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids

Author:

Wang Bo,Wang Li-Lian,Xie Ziqing

Funder

National Natural Science Foundation of China

Ministry of Education - Singapore

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference40 articles.

1. Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. A Wiley-Interscience Publication. Wiley, New York (1984). Reprint of the 1972 edition, Selected Government Publications

2. Acosta, S., Villamizar, V.: Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering. J. Comput. Phys. 229(15), 5498–5517 (2010)

3. Alpert, B., Greengard, L., Hagstrom, T.: Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation. SIAM J. Numer. Anal. 37(4), 1138–1164 (2000)

4. Amirkulova, F. A., Norris, A.N.: Acoustic multiple scattering using recursive algorithms. J. Comput. Phys. 299, 787–803 (2015)

5. Bateman, H: Tables of integral transforms. In: Erdelyi, A (ed.) California Institute of Technology Bateman Manuscript Project, p 1. McGraw-Hill, New York (1954)

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