Simos, T. E. Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation. (English) Zbl 1192.65111 Acta Appl. Math. 110, No. 3, 1331-1352 (2010). MSC: 65L10 34B05 34L40 PDFBibTeX XMLCite \textit{T. E. Simos}, Acta Appl. Math. 110, No. 3, 1331--1352 (2010; Zbl 1192.65111) Full Text: DOI
Konguetsof, A. A new two-step hybrid method for the numerical solution of the Schrödinger equation. (English) Zbl 1200.81051 J. Math. Chem. 47, No. 2, 871-890 (2010). MSC: 81Q05 81T80 81-08 34L40 PDFBibTeX XMLCite \textit{A. Konguetsof}, J. Math. Chem. 47, No. 2, 871--890 (2010; Zbl 1200.81051) Full Text: DOI
Vlachos, D. S.; Anastassi, Z. A.; Simos, T. E. High order phase fitted multistep integrators for the Schrödinger equation with improved frequency tolerance. (English) Zbl 1200.81057 J. Math. Chem. 46, No. 4, 1009-1049 (2009). MSC: 81Q05 81T80 34L40 81-08 PDFBibTeX XMLCite \textit{D. S. Vlachos} et al., J. Math. Chem. 46, No. 4, 1009--1049 (2009; Zbl 1200.81057) Full Text: DOI arXiv
Anastassi, Z. A.; Vlachos, D. S.; Simos, T. E. A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems. (English) Zbl 1200.81045 J. Math. Chem. 46, No. 4, 1158-1171 (2009). MSC: 81Q05 34L40 81T80 81-08 65L06 PDFBibTeX XMLCite \textit{Z. A. Anastassi} et al., J. Math. Chem. 46, No. 4, 1158--1171 (2009; Zbl 1200.81045) Full Text: DOI arXiv
Panopoulos, G. A.; Anastassi, Z. A.; Simos, T. E. Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions. (English) Zbl 1198.81099 J. Math. Chem. 46, No. 2, 604-620 (2009). MSC: 81Q05 81V45 34L40 81T80 PDFBibTeX XMLCite \textit{G. A. Panopoulos} et al., J. Math. Chem. 46, No. 2, 604--620 (2009; Zbl 1198.81099) Full Text: DOI arXiv