Wu, Ke; Fang, Yonglei; Liu, Dewen Trigonometrically fitted two-step Obrechkoff linear methods for the Schrödinger equation. (English) Zbl 1417.81173 J. Math. Chem. 57, No. 5, 1543-1556 (2019). MSC: 81V55 81Q05 65L05 65G50 PDFBibTeX XMLCite \textit{K. Wu} et al., J. Math. Chem. 57, No. 5, 1543--1556 (2019; Zbl 1417.81173) Full Text: DOI
Yang, Yanping; Fang, Yonglei; Wang, Kaimin; You, Xiong THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation. (English) Zbl 1417.81174 J. Math. Chem. 57, No. 5, 1496-1507 (2019). MSC: 81V55 81Q05 65L06 65G50 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Math. Chem. 57, No. 5, 1496--1507 (2019; Zbl 1417.81174) Full Text: DOI
Liu, Shiwei; Zheng, Juan; Fang, Yonglei A new embedded 4(3) pair of modified two-derivative Runge-Kutta methods with FSAL property for the numerical solution of the Schrödinger equation. (English) Zbl 1417.81171 J. Math. Chem. 57, No. 5, 1413-1426 (2019). MSC: 81V55 81Q05 65L06 65G50 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Math. Chem. 57, No. 5, 1413--1426 (2019; Zbl 1417.81171) Full Text: DOI
Fang, Yonglei; Zhang, Yanwei; Wang, Ping Two-derivative Runge-Kutta methods with increased phase-lag and dissipation order for the Schrödinger equation. (English) Zbl 1402.81130 J. Math. Chem. 56, No. 7, 1924-1934 (2018). MSC: 81Q05 65L06 81V22 81-08 PDFBibTeX XMLCite \textit{Y. Fang} et al., J. Math. Chem. 56, No. 7, 1924--1934 (2018; Zbl 1402.81130) Full Text: DOI
Zhang, Yanwei; Fang, Yonglei; You, Xiong; Liu, Guangde Trigonometrically-fitted multi-derivative linear methods for the resonant state of the Schrödinger equation. (English) Zbl 1447.81120 J. Math. Chem. 56, No. 4, 1250-1261 (2018). MSC: 81Q05 35Q41 35P20 81-08 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Math. Chem. 56, No. 4, 1250--1261 (2018; Zbl 1447.81120) Full Text: DOI
Zhang, Yanwei; You, Xiong; Fang, Yonglei Exponentially fitted multi-derivative linear methods for the resonant state of the Schrödinger equation. (English) Zbl 1360.81154 J. Math. Chem. 55, No. 1, 223-237 (2017). MSC: 81Q05 65L05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Math. Chem. 55, No. 1, 223--237 (2017; Zbl 1360.81154) Full Text: DOI
Yang, Yanping; Wu, Ke; Fang, Yonglei Exponentially fitted TDRK pairs for the Schrödinger equation. (English) Zbl 1328.65158 J. Math. Chem. 53, No. 6, 1470-1487 (2015). MSC: 65L05 65L06 34A30 34L40 65L70 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Math. Chem. 53, No. 6, 1470--1487 (2015; Zbl 1328.65158) Full Text: DOI
Guo, Ying; Fang, Yonglei A new modified Runge-Kutta method for the Schrödinger equation. (Chinese. English summary) Zbl 1313.65185 Period. Ocean Univ. China 44, No. 7, 117-120 (2014). MSC: 65L06 65L05 34A34 34L40 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Y. Fang}, Period. Ocean Univ. China 44, No. 7, 117--120 (2014; Zbl 1313.65185)
Liu, Shiwei; Zheng, Juan; Fang, Yonglei A new embedded 5(3) pair of modified Runge-Kutta-Nyström methods for the numerical solution of the Schrödinger equation. (English) Zbl 1301.65073 J. Math. Chem. 52, No. 4, 1081-1098 (2014). MSC: 65L06 65L05 34A30 34L40 65L70 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Math. Chem. 52, No. 4, 1081--1098 (2014; Zbl 1301.65073) Full Text: DOI
Fang, Yonglei; You, Xiong New optimized two-derivative Runge-Kutta type methods for solving the radial Schrödinger equation. (English) Zbl 1314.65100 J. Math. Chem. 52, No. 1, 240-254 (2014). MSC: 65L06 81Q05 PDFBibTeX XMLCite \textit{Y. Fang} and \textit{X. You}, J. Math. Chem. 52, No. 1, 240--254 (2014; Zbl 1314.65100) Full Text: DOI
Liu, Shiwei; Zheng, Juan; Fang, Yonglei A new modified embedded 5(4) pair of explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation. (English) Zbl 1447.81112 J. Math. Chem. 51, No. 3, 937-953 (2013). MSC: 81Q05 81-08 65L06 65L70 81U05 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Math. Chem. 51, No. 3, 937--953 (2013; Zbl 1447.81112) Full Text: DOI
Fang, Yonglei; You, Xiong; Ming, Qinghe New optimized explicit modified RKN methods for the numerical solution of the Schrödinger equation. (English) Zbl 1447.81109 J. Math. Chem. 51, No. 1, 390-411 (2013). MSC: 81Q05 65L06 37L05 PDFBibTeX XMLCite \textit{Y. Fang} et al., J. Math. Chem. 51, No. 1, 390--411 (2013; Zbl 1447.81109) Full Text: DOI
Fang, Yonglei; Li, Qinghong; Ming, Qinghe; Wang, Kaimin A new optimized Runge-Kutta pair for the numerical solution of the radial Schrödinger equation. (English) Zbl 1259.65117 Abstr. Appl. Anal. 2012, Article ID 641236, 15 p. (2012). MSC: 65L06 65L05 34A34 34L40 PDFBibTeX XMLCite \textit{Y. Fang} et al., Abstr. Appl. Anal. 2012, Article ID 641236, 15 p. (2012; Zbl 1259.65117) Full Text: DOI