Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice Collocation methods for Volterra integral and integro-differential equations: a review. (English) Zbl 1432.65192 Axioms 7, No. 3, Paper No. 45, 19 p. (2018). MSC: 65R20 65L03 45D05 65L20 PDFBibTeX XMLCite \textit{A. Cardone} et al., Axioms 7, No. 3, Paper No. 45, 19 p. (2018; Zbl 1432.65192) Full Text: DOI
Cardone, Angelamaria; Conte, Dajana; Paternoster, Beatrice Two-step collocation methods for fractional differential equations. (English) Zbl 1398.65158 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2709-2725 (2018). MSC: 65L05 65R20 34A08 65D07 PDFBibTeX XMLCite \textit{A. Cardone} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2709--2725 (2018; Zbl 1398.65158) Full Text: DOI
Capobianco, Giovanni; Conte, Dajana; Paternoster, Beatrice Construction and implementation of two-step continuous methods for Volterra integral equations. (English) Zbl 1368.65260 Appl. Numer. Math. 119, 239-247 (2017). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{G. Capobianco} et al., Appl. Numer. Math. 119, 239--247 (2017; Zbl 1368.65260) Full Text: DOI
Cardone, A.; D’Ambrosio, R.; Paternoster, B. High order exponentially fitted methods for Volterra integral equations with periodic solution. (English) Zbl 1357.65314 Appl. Numer. Math. 114, 18-29 (2017). MSC: 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{A. Cardone} et al., Appl. Numer. Math. 114, 18--29 (2017; Zbl 1357.65314) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice GPU-acceleration of waveform relaxation methods for large differential systems. (English) Zbl 1333.65076 Numer. Algorithms 71, No. 2, 293-310 (2016). MSC: 65L05 34A30 65Y05 65L20 PDFBibTeX XMLCite \textit{D. Conte} et al., Numer. Algorithms 71, No. 2, 293--310 (2016; Zbl 1333.65076) Full Text: DOI
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice Numerical integration of Hamiltonian problems by G-symplectic methods. (English) Zbl 1301.65127 Adv. Comput. Math. 40, No. 2, 553-575 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65L05 65L20 37M15 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Adv. Comput. Math. 40, No. 2, 553--575 (2014; Zbl 1301.65127) Full Text: DOI
D’Ambrosio, Raffaele; Paternoster, Beatrice \(P\)-stable general Nyström methods for \(y''=f(y(t))\). (English) Zbl 1301.65057 J. Comput. Appl. Math. 262, 271-280 (2014). MSC: 65L04 65L20 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, J. Comput. Appl. Math. 262, 271--280 (2014; Zbl 1301.65057) Full Text: DOI
D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection. (English) Zbl 1246.65110 Appl. Math. Comput. 218, No. 14, 7468-7480 (2012). MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Appl. Math. Comput. 218, No. 14, 7468--7480 (2012; Zbl 1246.65110) Full Text: DOI