Simos, T. E. New open modified Newton Cotes type formulae as multilayer symplectic integrators. (English) Zbl 1349.65095 Appl. Math. Modelling 37, No. 4, 1983-1991 (2013). MSC: 65D30 65P10 70M20 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Math. Modelling 37, No. 4, 1983--1991 (2013; Zbl 1349.65095) Full Text: DOI
Simos, T. E. New stable closed Newton-Cotes trigonometrically fitted formulae for long-time integration. (English) Zbl 1242.65026 Abstr. Appl. Anal. 2012, Article ID 182536, 15 p. (2012). MSC: 65D10 65D30 PDFBibTeX XMLCite \textit{T. E. Simos}, Abstr. Appl. Anal. 2012, Article ID 182536, 15 p. (2012; Zbl 1242.65026) Full Text: DOI
Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E. Symplectic partitioned Runge-Kutta methods with minimal phase-lag. (English) Zbl 1219.65151 Comput. Phys. Commun. 181, No. 7, 1251-1254 (2010). MSC: 65P10 37M15 37K10 65L06 PDFBibTeX XMLCite \textit{Th. Monovasilis} et al., Comput. Phys. Commun. 181, No. 7, 1251--1254 (2010; Zbl 1219.65151) Full Text: DOI
Anastassi, Z. A.; Simos, T. E. A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution. (English) Zbl 1198.81075 J. Math. Chem. 45, No. 4, 1102-1129 (2009). MSC: 81Q05 65D30 81T80 PDFBibTeX XMLCite \textit{Z. A. Anastassi} and \textit{T. E. Simos}, J. Math. Chem. 45, No. 4, 1102--1129 (2009; Zbl 1198.81075) Full Text: DOI
Simos, T. E. Closed Newton-Cotes trigonometrically-fitted formulae of high order for the numerical integration of the Schrödinger equation. (English) Zbl 1217.65054 J. Math. Chem. 44, No. 2, 483-499 (2008). MSC: 65D30 81Q05 PDFBibTeX XMLCite \textit{T. E. Simos}, J. Math. Chem. 44, No. 2, 483--499 (2008; Zbl 1217.65054) Full Text: DOI
Simos, T. E. Closed Newton-Cotes trigonometrically-fitted formulae for the solution of the Schrödinger equation. (English) Zbl 1199.65411 MATCH Commun. Math. Comput. Chem. 60, No. 3, 787-801 (2008). Reviewer: Dejan Bojović (Kragujevac) MSC: 65P10 37M15 37K10 PDFBibTeX XMLCite \textit{T. E. Simos}, MATCH Commun. Math. Comput. Chem. 60, No. 3, 787--801 (2008; Zbl 1199.65411)
Vlachos, D. S.; Simos, T. E. Stability improvement of linear multistep methods. (English) Zbl 1088.65570 Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 580-583 (2005). MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{D. S. Vlachos} and \textit{T. E. Simos}, in: ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. Weinheim: Wiley-VCH. 580--583 (2005; Zbl 1088.65570)
Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E. A symplectic trigonometrically fitted modified partitioned Runge-Kutta method for the numerical integration of orbital problems. (English) Zbl 1084.65128 ANACM, Appl. Numer. Anal. Comput. Math. 2, No. 3, 359-364 (2005). MSC: 65P10 65L06 37M15 70F05 70M20 70J30 PDFBibTeX XMLCite \textit{Z. Kalogiratou} et al., ANACM, Appl. Numer. Anal. Comput. Math. 2, No. 3, 359--364 (2005; Zbl 1084.65128) Full Text: DOI
Kalogiratou, Z.; Simos, T. E. Newton–Cotes formulae for long-time integration. (English) Zbl 1041.65104 J. Comput. Appl. Math. 158, No. 1, 75-82 (2003). Reviewer: Kevin Burrage (Brisbane) MSC: 65P10 37M15 PDFBibTeX XMLCite \textit{Z. Kalogiratou} and \textit{T. E. Simos}, J. Comput. Appl. Math. 158, No. 1, 75--82 (2003; Zbl 1041.65104) Full Text: DOI
Aguiar, J. V.; Simos, T. E. A family of P-stable eighth algebraic order methods with exponential fitting facilities. (English) Zbl 0995.81506 J. Math. Chem. 29, No. 3, 177-189 (2001). MSC: 81Q05 81-08 81-04 65L05 PDFBibTeX XMLCite \textit{J. V. Aguiar} and \textit{T. E. Simos}, J. Math. Chem. 29, No. 3, 177--189 (2001; Zbl 0995.81506) Full Text: DOI
Vigo-Aguiar, Jesús; Ferrándiz, José M.; Simos, Theodore E. Encke methods adapted to regularizing variables. (English) Zbl 0970.70014 Int. J. Mod. Phys. A 15, No. 25, 3993-4010 (2000). MSC: 70F15 70-08 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} et al., Int. J. Mod. Phys. A 15, No. 25, 3993--4010 (2000; Zbl 0970.70014) Full Text: DOI
Simos, T. E. An eighth order exponentially fitted method for the numerical solution of the Schrödinger equation. (English) Zbl 0948.81504 Int. J. Mod. Phys. C 9, No. 2, 271-288 (1998). MSC: 81-08 65L99 81Q05 PDFBibTeX XMLCite \textit{T. E. Simos}, Int. J. Mod. Phys. C 9, No. 2, 271--288 (1998; Zbl 0948.81504) Full Text: DOI
Simos, T. E. Eighth-order methods for elastic scattering phase shifts. (English) Zbl 0870.34079 Int. J. Theor. Phys. 36, No. 3, 663-672 (1997). MSC: 34L40 34L25 65D30 81U99 81Q05 PDFBibTeX XMLCite \textit{T. E. Simos}, Int. J. Theor. Phys. 36, No. 3, 663--672 (1997; Zbl 0870.34079) Full Text: DOI