Qian, Xu; Zhang, Hong; Yan, Jingye; Song, Songhe Novel high-order mass- and energy-conservative Runge-Kutta integrators for the regularized logarithmic Schrödinger equation. (English) Zbl 07814774 Numer. Math., Theory Methods Appl. 16, No. 4, 993-1012 (2023). MSC: 35Q55 65L06 81Q05 PDFBibTeX XMLCite \textit{X. Qian} et al., Numer. Math., Theory Methods Appl. 16, No. 4, 993--1012 (2023; Zbl 07814774) Full Text: DOI
Jiang, Haiyan; Gao, Xingming; Hu, Yueguang; Lu, Tiao Green function method for quantum transport based on the generalized Fourier transform. (English) Zbl 07814750 Numer. Math., Theory Methods Appl. 16, No. 3, 701-719 (2023). MSC: 42A38 65M80 81-10 81U26 PDFBibTeX XMLCite \textit{H. Jiang} et al., Numer. Math., Theory Methods Appl. 16, No. 3, 701--719 (2023; Zbl 07814750) Full Text: DOI
Shen, Yedan; Wang, Ting; Zhou, Jie; Hu, Guanghui A convergence analysis of a structure-preserving gradient flow method for the all-electron Kohn-Sham model. (English) Zbl 07814746 Numer. Math., Theory Methods Appl. 16, No. 3, 597-621 (2023). MSC: 35Q41 81Q05 65M60 65M12 65M50 PDFBibTeX XMLCite \textit{Y. Shen} et al., Numer. Math., Theory Methods Appl. 16, No. 3, 597--621 (2023; Zbl 07814746) Full Text: DOI arXiv
Bian, Shasha; Cheng, Yue; Guo, Boling; Wang, Tingchun Error estimate of a new conservative finite difference scheme for the Klein-Gordon-Dirac system. (English) Zbl 1524.65316 Numer. Math., Theory Methods Appl. 16, No. 1, 140-164 (2023). MSC: 65M06 65M12 65M15 35Q41 81V10 65N06 81-08 PDFBibTeX XMLCite \textit{S. Bian} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 140--164 (2023; Zbl 1524.65316) Full Text: DOI
Dai, Xiaoying; Zhang, Liwei; Zhou, Aihui Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals. (English) Zbl 1524.37076 Numer. Math., Theory Methods Appl. 16, No. 1, 1-25 (2023). MSC: 37M15 37M21 65M12 65N25 81Q05 PDFBibTeX XMLCite \textit{X. Dai} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 1--25 (2023; Zbl 1524.37076) Full Text: DOI arXiv
Shao, Sihong; Xiong, Yunfeng A branching random walk method for many-body Wigner quantum dynamics. (English) Zbl 1438.60113 Numer. Math., Theory Methods Appl. 12, No. 1, 21-71 (2019). MSC: 60J85 81S30 81V70 PDFBibTeX XMLCite \textit{S. Shao} and \textit{Y. Xiong}, Numer. Math., Theory Methods Appl. 12, No. 1, 21--71 (2019; Zbl 1438.60113) Full Text: DOI arXiv
Yamazaki, Ichitaro; Bai, Zhaojun; Chen, Wenbin; Scalettar, Richard A high-quality preconditioning technique for multi-length-scale symmetric positive definite linear systems. (English) Zbl 1212.65122 Numer. Math., Theory Methods Appl. 2, No. 4, 469-484 (2009). MSC: 65F08 65F10 65F50 65C05 81-08 PDFBibTeX XMLCite \textit{I. Yamazaki} et al., Numer. Math., Theory Methods Appl. 2, No. 4, 469--484 (2009; Zbl 1212.65122) Full Text: DOI Link
Zhang, Xiaoyong; Guo, Benyu; Jiao, Yujian A spectral method for three-dimensional nonlinear Klein-Gordon equation by using generalized Laguerre and spherical harmonic functions. (English) Zbl 1199.65354 Numer. Math., Theory Methods Appl. 2, No. 1, 43-64 (2009). MSC: 65M70 65M12 81Q05 35Q40 PDFBibTeX XMLCite \textit{X. Zhang} et al., Numer. Math., Theory Methods Appl. 2, No. 1, 43--64 (2009; Zbl 1199.65354)
Chen, Huajie; Zhou, Aihui Orbital-free density functional theory for molecular structure calculations. (English) Zbl 1174.81316 Numer. Math., Theory Methods Appl. 1, No. 1, 1-28 (2008). MSC: 81Q05 65N22 35Q55 65N25 65N30 81V45 81V55 PDFBibTeX XMLCite \textit{H. Chen} and \textit{A. Zhou}, Numer. Math., Theory Methods Appl. 1, No. 1, 1--28 (2008; Zbl 1174.81316) Full Text: Link