Ramos, Higinio; Mehta, Shubham; Vigo-Aguiar, J. A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs. (English) Zbl 1357.65092 J. Comput. Appl. Math. 318, 550-564 (2017). MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{H. Ramos} et al., J. Comput. Appl. Math. 318, 550--564 (2017; Zbl 1357.65092) Full Text: DOI
Vigo-Aguiar, J.; Ramos, Higinio A numerical ODE solver that preserves the fixed points and their stability. (English) Zbl 1209.65072 J. Comput. Appl. Math. 235, No. 7, 1856-1867 (2011). MSC: 65L05 65L06 65L20 65L07 34A34 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{H. Ramos}, J. Comput. Appl. Math. 235, No. 7, 1856--1867 (2011; Zbl 1209.65072) Full Text: DOI
Martín-Vaquero, J.; Vigo-Aguiar, J. Exponential fitted Gauss, Radau and Lobatto methods of low order. (English) Zbl 1148.65059 Numer. Algorithms 48, No. 4, 327-346 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L60 65L20 34A34 65L05 PDFBibTeX XMLCite \textit{J. Martín-Vaquero} and \textit{J. Vigo-Aguiar}, Numer. Algorithms 48, No. 4, 327--346 (2008; Zbl 1148.65059) Full Text: DOI
Vigo-Aguiar, J.; Martín-Vaquero, J. Exponential fitting BDF algorithms and their properties. (English) Zbl 1126.65060 Appl. Math. Comput. 190, No. 1, 80-110 (2007). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L05 65L06 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{J. Martín-Vaquero}, Appl. Math. Comput. 190, No. 1, 80--110 (2007; Zbl 1126.65060) Full Text: DOI
Ramos, Higinio; Vigo-Aguiar, Jesús A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations. (English) Zbl 1113.65073 J. Comput. Appl. Math. 204, No. 1, 124-136 (2007). MSC: 65L06 65L05 65L20 34A34 65L50 PDFBibTeX XMLCite \textit{H. Ramos} and \textit{J. Vigo-Aguiar}, J. Comput. Appl. Math. 204, No. 1, 124--136 (2007; Zbl 1113.65073) Full Text: DOI
Vigo-Aguiar, Jesús; Ramos, Higinio A new eighth-order A-stable method for solving differential systems arising in chemical reactions. (English) Zbl 1103.92057 J. Math. Chem. 40, No. 1, 71-83 (2006). MSC: 92E20 65L06 65L05 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{H. Ramos}, J. Math. Chem. 40, No. 1, 71--83 (2006; Zbl 1103.92057) Full Text: DOI
Ramos, H.; Vigo-Aguiar, J. Variable stepsize Störmer-Cowell methods. (English) Zbl 1092.65060 Math. Comput. Modelling 42, No. 7-8, 837-846 (2005). Reviewer: Zdzislaw Jackiewicz (Tempe) MSC: 65L06 65L05 65L50 34A34 PDFBibTeX XMLCite \textit{H. Ramos} and \textit{J. Vigo-Aguiar}, Math. Comput. Modelling 42, No. 7--8, 837--846 (2005; Zbl 1092.65060) Full Text: DOI
Ramos, Higinio; Vigo-Aguiar, Jesús A note on step-size selection in the Störmer-Cowell methods. (English) Zbl 1063.65071 J. Comput. Appl. Math. 175, No. 1, 149-159 (2005). MSC: 65L50 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{H. Ramos} and \textit{J. Vigo-Aguiar}, J. Comput. Appl. Math. 175, No. 1, 149--159 (2005; Zbl 1063.65071) Full Text: DOI
Vigo-Aguiar, J.; Ramos, H. VS-VO Numerov method for the numerical solution of the Schrödinger equation. (English) Zbl 1032.65516 Simos, T. E. (ed.), Computational methods in sciences and engineering 2003 (ICCMSE 2003). Proceedings of the international conference, Kastoria, Greece, September 12-16, 2003. River Edge, NJ: World Scientific. 667-669 (2003). MSC: 65L06 65L05 65L50 34A34 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{H. Ramos}, in: Computational methods in sciences and engineering 2003 (ICCMSE 2003). Proceedings of the international conference, Kastoria, Greece, September 12--16, 2003. River Edge, NJ: World Scientific. 667--669 (2003; Zbl 1032.65516)
Ramos, H.; Vigo-Aguiar, J. A note on the selection of the step size in the variable step-size Störmer method. (English) Zbl 1032.65518 Simos, T. E. (ed.), Computational methods in sciences and engineering 2003 (ICCMSE 2003). Proceedings of the international conference, Kastoria, Greece, September 12-16, 2003. River Edge, NJ: World Scientific. 526-529 (2003). MSC: 65L50 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{H. Ramos} and \textit{J. Vigo-Aguiar}, in: Computational methods in sciences and engineering 2003 (ICCMSE 2003). Proceedings of the international conference, Kastoria, Greece, September 12--16, 2003. River Edge, NJ: World Scientific. 526--529 (2003; Zbl 1032.65518)
Vigo-Aguiar, Jesús High order Bessel fitting methods for the numerical integration of the Schrödinger equation. (English) Zbl 1064.65058 Comput. Chem. 25, No. 1, 97-100 (2001). MSC: 65L06 65L10 65L12 34B15 34L40 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar}, Comput. Chem. 25, No. 1, 97--100 (2001; Zbl 1064.65058) Full Text: DOI
Simos, T. E.; Aguiar, Jesus Vigo A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. (English) Zbl 1003.65082 J. Math. Chem. 30, No. 1, 121-131 (2001). MSC: 65L06 34L40 65L05 34C25 34A34 PDFBibTeX XMLCite \textit{T. E. Simos} and \textit{J. V. Aguiar}, J. Math. Chem. 30, No. 1, 121--131 (2001; Zbl 1003.65082) Full Text: DOI
Vigo-Aguiar, J.; Quintales, L. M. A parallel ODE solver adapted to oscillatory problems. (English) Zbl 0992.65079 J. Supercomput. 19, No. 2, 163-171 (2001). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65L05 65L06 34A34 34C10 65Y05 70M20 78A55 94C05 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{L. M. Quintales}, J. Supercomput. 19, No. 2, 163--171 (2001; Zbl 0992.65079) Full Text: DOI
Simos, T. E.; Aguiar, Jesus Vigo A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems. (English) Zbl 0985.65084 Int. J. Mod. Phys. C 11, No. 6, 1195-1208 (2000). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L06 65L70 65L05 34L40 34A34 34C25 34C10 PDFBibTeX XMLCite \textit{T. E. Simos} and \textit{J. V. Aguiar}, Int. J. Mod. Phys. C 11, No. 6, 1195--1208 (2000; Zbl 0985.65084) Full Text: DOI
Vigo-Aguiar, J.; Ferrándiz, J. M. VSVO multistep formulae adapted to perturbed second-order differential equations. (English) Zbl 0932.65087 Appl. Math. Lett. 11, No. 3, 83-87 (1998). MSC: 65L06 65L05 65L50 34A34 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{J. M. Ferrándiz}, Appl. Math. Lett. 11, No. 3, 83--87 (1998; Zbl 0932.65087) Full Text: DOI