Hu, Jingwei; Huang, Xiaodong; Shen, Jie; Yang, Haizhao A fast Petrov-Galerkin spectral method for the multidimensional Boltzmann equation using mapped Chebyshev functions. (English) Zbl 1490.35247 SIAM J. Sci. Comput. 44, No. 3, A1497-A1524 (2022). MSC: 35Q20 65M70 PDFBibTeX XMLCite \textit{J. Hu} et al., SIAM J. Sci. Comput. 44, No. 3, A1497--A1524 (2022; Zbl 1490.35247) Full Text: DOI arXiv
Hu, Jingwei; Shen, Jie; Wang, Yingwei A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions. (English) Zbl 1446.65128 Kinet. Relat. Models 13, No. 4, 677-702 (2020). MSC: 65M70 35Q20 41A50 65R20 PDFBibTeX XMLCite \textit{J. Hu} et al., Kinet. Relat. Models 13, No. 4, 677--702 (2020; Zbl 1446.65128) Full Text: DOI
Cheng, Ting; Ma, Lina; Shen, Jie An efficient numerical scheme for a 3D spherical dynamo equation. (English) Zbl 1434.65199 J. Comput. Appl. Math. 370, Article ID 112628, 17 p. (2020). MSC: 65M70 65M12 41A30 86-08 86A25 76W05 65M06 PDFBibTeX XMLCite \textit{T. Cheng} et al., J. Comput. Appl. Math. 370, Article ID 112628, 17 p. (2020; Zbl 1434.65199) Full Text: DOI arXiv
Sheng, Changtao; Shen, Jie A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. (English) Zbl 1438.65308 Numer. Math., Theory Methods Appl. 11, No. 4, 854-876 (2018). MSC: 65N35 65N15 26A33 35R11 65M22 33C45 PDFBibTeX XMLCite \textit{C. Sheng} and \textit{J. Shen}, Numer. Math., Theory Methods Appl. 11, No. 4, 854--876 (2018; Zbl 1438.65308) Full Text: DOI
Shen, Jie; Xu, Jie; Zhang, Pingwen Approximations on \(\mathrm{SO}(3)\) by Wigner D-matrix and applications. (English) Zbl 1398.65321 J. Sci. Comput. 74, No. 3, 1706-1724 (2018). MSC: 65N35 65M70 41A30 PDFBibTeX XMLCite \textit{J. Shen} et al., J. Sci. Comput. 74, No. 3, 1706--1724 (2018; Zbl 1398.65321) Full Text: DOI
Shen, Jie; Wang, Li-Lian Fourierization of the Legendre-Galerkin method and a new space-time spectral method. (English) Zbl 1118.65111 Appl. Numer. Math. 57, No. 5-7, 710-720 (2007). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M70 65M15 65M12 65M20 35K55 35Q53 35Q55 PDFBibTeX XMLCite \textit{J. Shen} and \textit{L.-L. Wang}, Appl. Numer. Math. 57, No. 5--7, 710--720 (2007; Zbl 1118.65111) Full Text: DOI
Shen, Jie; Wang, Li-Lian Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations. (English) Zbl 1113.65078 Discrete Contin. Dyn. Syst., Ser. B 6, No. 6, 1381-1402 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L10 65M60 65M12 34B15 35Q53 65L20 65L60 PDFBibTeX XMLCite \textit{J. Shen} and \textit{L.-L. Wang}, Discrete Contin. Dyn. Syst., Ser. B 6, No. 6, 1381--1402 (2006; Zbl 1113.65078) Full Text: DOI