Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin Ball prolate spheroidal wave functions in arbitrary dimensions. (English) Zbl 1445.42018 Appl. Comput. Harmon. Anal. 48, No. 2, 539-569 (2020). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B37 33C47 33E30 42C05 65D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jing; Wang, Li-Lian; Li, Huiyuan; Zhang, Zhimin Optimal spectral schemes based on generalized prolate spheroidal wave functions of order \(-1\). (English) Zbl 1359.65139 J. Sci. Comput. 70, No. 2, 451-477 (2017). MSC: 65L60 65L15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li-Lian; Zhang, Jing; Zhang, Zhimin On \(hp\)-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. (English) Zbl 1349.65255 J. Comput. Phys. 268, 377-398 (2014). MSC: 65L60 33E10 65D30 65L10 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jing; Wang, Li-Lian; Rong, Zhijian A prolate-element method for nonlinear PDEs on the sphere. (English) Zbl 1243.76065 J. Sci. Comput. 47, No. 1, 73-92 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M10 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li-Lian; Zhang, Jing An improved estimate of PSWF approximation and approximation by Mathieu functions. (English) Zbl 1215.65162 J. Math. Anal. Appl. 379, No. 1, 35-47 (2011). MSC: 65M70 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li-Lian; Zhang, Jing A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids. (English) Zbl 1204.33025 Appl. Comput. Harmon. Anal. 29, No. 3, 303-329 (2010). MSC: 33E10 33C45 65M70 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li-Lian Analysis of spectral approximations using prolate spheroidal wave functions. (English) Zbl 1197.65189 Math. Comput. 79, No. 270, 807-827 (2010). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N35 35J05 65N12 × Cite Format Result Cite Review PDF Full Text: DOI