Hristov, I.; Hristova, R.; Puzynin, I.; Puzynina, T.; Sharipov, Z.; Tukhliev, Z. A database of high precision trivial choreographies for the planar three-body problem. (English) Zbl 1521.70013 Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 171-180 (2023). MSC: 70F07 65H10 PDFBibTeX XMLCite \textit{I. Hristov} et al., Lect. Notes Comput. Sci. 13858, 171--180 (2023; Zbl 1521.70013) Full Text: DOI arXiv
Kehlet, Benjamin; Logg, Anders A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations. (English) Zbl 1379.65056 Numer. Algorithms 76, No. 1, 191-210 (2017). Reviewer: Charis Harley (Johannesburg) MSC: 65L70 65L05 34A34 65L60 65L20 PDFBibTeX XMLCite \textit{B. Kehlet} and \textit{A. Logg}, Numer. Algorithms 76, No. 1, 191--210 (2017; Zbl 1379.65056) Full Text: DOI arXiv
Abad, Alberto; Barrio, Roberto; Blesa, Fernando; Rodríguez, Marcos Algorithm 924, TIDES, a Taylor series integrator for differential equations. (English) Zbl 1295.65138 ACM Trans. Math. Softw. 39, No. 1, Article No. 5, 28 p. (2012). MSC: 65Y15 65D25 65L05 PDFBibTeX XMLCite \textit{A. Abad} et al., ACM Trans. Math. Softw. 39, No. 1, Article No. 5, 28 p. (2012; Zbl 1295.65138) Full Text: DOI
Barrio, R.; Rodríguez, M.; Abad, A.; Blesa, F. Breaking the limits: The Taylor series method. (English) Zbl 1219.65064 Appl. Math. Comput. 217, No. 20, 7940-7954 (2011). MSC: 65L05 34A34 34A25 65L70 34-04 65Y15 PDFBibTeX XMLCite \textit{R. Barrio} et al., Appl. Math. Comput. 217, No. 20, 7940--7954 (2011; Zbl 1219.65064) Full Text: DOI
Bozic, Vladan; Nguyen-Ba, Truong; Vaillancourt, Rémi A three-stage, VSVO, Hermite-Birkhoff-Taylor, ODE solver. (English) Zbl 1187.65075 Appl. Math. Comput. 216, No. 2, 598-610 (2010). MSC: 65L06 65L05 34A34 65L20 65L50 PDFBibTeX XMLCite \textit{V. Bozic} et al., Appl. Math. Comput. 216, No. 2, 598--610 (2010; Zbl 1187.65075) Full Text: DOI
Jorba, Àngel; Zou, Maorong A software package for the numerical integration of ODEs by means of high-order Taylor methods. (English) Zbl 1108.65072 Exp. Math. 14, No. 1, 99-117 (2005). MSC: 65L05 34A34 65Y15 PDFBibTeX XMLCite \textit{À. Jorba} and \textit{M. Zou}, Exp. Math. 14, No. 1, 99--117 (2005; Zbl 1108.65072) Full Text: DOI Euclid EuDML
Barrio, R.; Blesa, F.; Lara, M. VSVO formulation of the Taylor method for the numerical solution of ODEs. (English) Zbl 1085.65056 Comput. Math. Appl. 50, No. 1-2, 93-111 (2005). MSC: 65L05 34A34 65L50 PDFBibTeX XMLCite \textit{R. Barrio} et al., Comput. Math. Appl. 50, No. 1--2, 93--111 (2005; Zbl 1085.65056) Full Text: DOI