Abad, A.; Barrio, R.; Marco-Buzunariz, M.; Rodríguez, M. Automatic implementation of the numerical Taylor series method: a Mathematica and Sage approach. (English) Zbl 1410.65243 Appl. Math. Comput. 268, 227-245 (2015). MSC: 65L05 PDFBibTeX XMLCite \textit{A. Abad} et al., Appl. Math. Comput. 268, 227--245 (2015; Zbl 1410.65243) Full Text: DOI
Rodríguez, Marcos; Blesa, Fernando; Barrio, Roberto OpenCL parallel integration of ordinary differential equations: applications in computational dynamics. (English) Zbl 1380.65476 Comput. Phys. Commun. 192, 228-236 (2015). MSC: 65Y15 65L06 65P20 65Y05 PDFBibTeX XMLCite \textit{M. Rodríguez} et al., Comput. Phys. Commun. 192, 228--236 (2015; Zbl 1380.65476) Full Text: DOI
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
Dena, Ángeles; Abad, Alberto; Barrio, Roberto High-precision periodic orbit corrector. (English) Zbl 1253.37076 Giacomoni, Jaques (ed.) et al., Eleventh international conference Zaragoza-Pau on applied mathematics and statistics, Jaca, Spain, September 15–17, 2010. Zaragoza: Prensas Universitarias de Zaragoza (ISBN 978-84-15538-15-8/pbk). Monografías Matemáticas “García de Galdeano” 37, 115-121 (2012). MSC: 37M20 65P20 37C10 37C25 37-04 PDFBibTeX XMLCite \textit{Á. Dena} et al., Monogr. Mat. García Galdeano 37, 115--121 (2012; Zbl 1253.37076)
Rodríguez, Marcos; Barrio, Roberto Reducing rounding errors and achieving Brouwer’s law with Taylor series method. (English) Zbl 1243.65080 Appl. Numer. Math. 62, No. 8, 1014-1024 (2012). MSC: 65L05 34A34 65Y20 65L70 34A25 PDFBibTeX XMLCite \textit{M. Rodríguez} and \textit{R. Barrio}, Appl. Numer. Math. 62, No. 8, 1014--1024 (2012; Zbl 1243.65080) Full Text: DOI
Barrio, R.; Rodríguez, M.; Abad, A.; Serrano, S. Uncertainty propagation or box propagation. (English) Zbl 1235.65092 Math. Comput. Modelling 54, No. 11-12, 2602-2615 (2011). MSC: 65L99 PDFBibTeX XMLCite \textit{R. Barrio} et al., Math. Comput. Modelling 54, No. 11--12, 2602--2615 (2011; Zbl 1235.65092) 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
Barrio, R.; Blesa, F.; Serrano, S. Bifurcations and chaos in Hamiltonian systems. (English) Zbl 1193.65214 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 5, 1293-1319 (2010). MSC: 65P30 37J20 37D45 PDFBibTeX XMLCite \textit{R. Barrio} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 5, 1293--1319 (2010; Zbl 1193.65214) Full Text: DOI
Barrio, Roberto Performance of the Taylor series method for ODEs/DAEs. (English) Zbl 1067.65063 Appl. Math. Comput. 163, No. 2, 525-545 (2005). MSC: 65L05 65L80 34A09 34A34 PDFBibTeX XMLCite \textit{R. Barrio}, Appl. Math. Comput. 163, No. 2, 525--545 (2005; Zbl 1067.65063) Full Text: DOI