D’Ambrosio, Raffaele; Paternoster, Beatrice Two-step modified collocation methods with structured coefficient matrices. (English) Zbl 1251.65115 Appl. Numer. Math. 62, No. 10, 1325-1334 (2012). MSC: 65L60 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, Appl. Numer. Math. 62, No. 10, 1325--1334 (2012; Zbl 1251.65115) Full Text: DOI
Conte, D.; D’Ambrosio, R.; Paternoster, B. Construction of diagonally implicit almost collocation methods for Volterra integral equations. (English) Zbl 1238.65126 Riv. Mat. Univ. Parma (N.S.) 2, No. 1, 125-146 (2011). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{D. Conte} et al., Riv. Mat. Univ. Parma (N.S.) 2, No. 1, 125--146 (2011; Zbl 1238.65126)
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster; Beatrice; Ferro, Maria Practical construction of two-step collocation Runge-Kutta methods for ordinary differential equations. (English) Zbl 1203.65108 De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 278-288 (2010). MSC: 65L06 65L05 65L60 34A34 65L20 PDFBibTeX XMLCite \textit{D. Conte} et al., Ser. Adv. Math. Appl. Sci. 82, 278--288 (2010; Zbl 1203.65108)
Conte, Dajana; D’Ambrosio, Raffaele; Ferro, Maria; Paternoster, Beatrice Modified collocation techniques for Volterra integral equations. (English) Zbl 1203.65285 De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 268-277 (2010). MSC: 65R20 45G10 45D05 PDFBibTeX XMLCite \textit{D. Conte} et al., Ser. Adv. Math. Appl. Sci. 82, 268--277 (2010; Zbl 1203.65285)
D’Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B. Two-step almost collocation methods for ordinary differential equations. (English) Zbl 1186.65107 Numer. Algorithms 53, No. 2-3, 195-217 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 65L60 65L05 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Numer. Algorithms 53, No. 2--3, 195--217 (2010; Zbl 1186.65107) Full Text: DOI
D’Ambrosio, R.; Paternoster, B. Runge-Kutta-Nyström stability for a class of general linear methods for \(y^{\prime\prime} = f(x,y)\). (English) Zbl 1182.65128 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 444-447 (2009). MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, AIP Conf. Proc. 1168, 444--447 (2009; Zbl 1182.65128) Full Text: DOI