Conte, D.; Martin-Vaquero, J.; Pagano, G.; Paternoster, B. Stability theory of TASE-Runge-Kutta methods with inexact Jacobian. arXiv:2401.10088 Preprint, arXiv:2401.10088 [math.NA] (2024). MSC: 65L04 65L06 65L07 65L20 65M12 65M20 BibTeX Cite \textit{D. Conte} et al., ``Stability theory of TASE-Runge-Kutta methods with inexact Jacobian'', Preprint, arXiv:2401.10088 [math.NA] (2024) Full Text: arXiv OA License
Moradi, A.; D’Ambrosio, R.; Paternoster, B. Variable stepsize multivalue collocation methods. (English) Zbl 1521.65057 Appl. Numer. Math. 190, 1-14 (2023). MSC: 65L04 65L06 65L60 65L20 PDFBibTeX XMLCite \textit{A. Moradi} et al., Appl. Numer. Math. 190, 1--14 (2023; Zbl 1521.65057) Full Text: DOI
Conte, Dajana; Moradi, Leila; Paternoster, Beatrice Frequency evaluation for adapted peer methods. (English) Zbl 1506.65103 Comput. Appl. Math. 42, No. 2, Paper No. 78, 16 p. (2023). MSC: 65L06 65L12 PDFBibTeX XMLCite \textit{D. Conte} et al., Comput. Appl. Math. 42, No. 2, Paper No. 78, 16 p. (2023; Zbl 1506.65103) Full Text: DOI
Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice Time-accurate and highly-stable explicit peer methods for stiff differential problems. (English) Zbl 07656633 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107136, 20 p. (2023). MSC: 65Lxx 65Mxx 34Axx PDFBibTeX XMLCite \textit{D. Conte} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107136, 20 p. (2023; Zbl 07656633) Full Text: DOI
D’Ambrosio, R.; Di Giovacchino, S.; Giordano, G.; Paternoster, B. On the conservative character of discretizations to Itô-Hamiltonian systems with small noise. (English) Zbl 1524.65029 Appl. Math. Lett. 138, Article ID 108529, 8 p. (2023). MSC: 65C30 60H10 60H35 65P10 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Appl. Math. Lett. 138, Article ID 108529, 8 p. (2023; Zbl 1524.65029) Full Text: DOI
Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model. (English) Zbl 1503.65167 J. Comput. Appl. Math. 419, Article ID 114790, 17 p. (2023). MSC: 65M06 35K57 92-10 PDFBibTeX XMLCite \textit{D. Conte} et al., J. Comput. Appl. Math. 419, Article ID 114790, 17 p. (2023; Zbl 1503.65167) Full Text: DOI
Conte, D.; Guarino, N.; Pagano, G.; Paternoster, B. On the advantages of nonstandard finite differences discretizations for differential problems. (Russian. English summary) Zbl 1518.65078 Sib. Zh. Vychisl. Mat. 25, No. 3, 269-287 (2022). MSC: 65L12 65M06 PDFBibTeX XMLCite \textit{D. Conte} et al., Sib. Zh. Vychisl. Mat. 25, No. 3, 269--287 (2022; Zbl 1518.65078) Full Text: DOI MNR
Abdi, A.; Conte, D.; D’Ambrosio, R.; Paternoster, B. Multivalue second derivative collocation methods. (English) Zbl 1506.65118 Appl. Numer. Math. 182, 344-355 (2022). MSC: 65L60 65L04 PDFBibTeX XMLCite \textit{A. Abdi} et al., Appl. Numer. Math. 182, 344--355 (2022; Zbl 1506.65118) Full Text: DOI
Cardone, Angelamaria; Conte, Dajana; Paternoster, Beatrice Stability of two-step spline collocation methods for initial value problems for fractional differential equations. (English) Zbl 1495.65239 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106726, 17 p. (2022). MSC: 65R20 34A08 65L60 65L05 65L20 PDFBibTeX XMLCite \textit{A. Cardone} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106726, 17 p. (2022; Zbl 1495.65239) Full Text: DOI
Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice Two-step peer methods with equation-dependent coefficients. (English) Zbl 1499.65272 Comput. Appl. Math. 41, No. 4, Paper No. 140, 21 p. (2022). MSC: 65L05 65L07 65L12 65L20 PDFBibTeX XMLCite \textit{D. Conte} et al., Comput. Appl. Math. 41, No. 4, Paper No. 140, 21 p. (2022; Zbl 1499.65272) Full Text: DOI
Moradi, Leila; Conte, Dajana; Farsimadan, Eslam; Palmieri, Francesco; Paternoster, Beatrice Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations. (English) Zbl 1476.49011 Comput. Appl. Math. 40, No. 4, Paper No. 157, 15 p. (2021). MSC: 49J21 33C47 26A33 PDFBibTeX XMLCite \textit{L. Moradi} et al., Comput. Appl. Math. 40, No. 4, Paper No. 157, 15 p. (2021; Zbl 1476.49011) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice Multivalue mixed collocation methods. (English) Zbl 1510.65169 Appl. Math. Comput. 409, Article ID 126346, 14 p. (2021). MSC: 65L60 65L04 PDFBibTeX XMLCite \textit{D. Conte} et al., Appl. Math. Comput. 409, Article ID 126346, 14 p. (2021; Zbl 1510.65169) Full Text: DOI
D’Ambrosio, R.; Giordano, G.; Paternoster, B.; Ventola, A. Perturbative analysis of stochastic Hamiltonian problems under time discretizations. (English) Zbl 1471.60083 Appl. Math. Lett. 120, Article ID 107223, 7 p. (2021). MSC: 60H10 65C30 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Appl. Math. Lett. 120, Article ID 107223, 7 p. (2021; Zbl 1471.60083) Full Text: DOI
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice Adapted numerical modeling for advection-reaction-diffusion problems on a bidimensional spatial domain. (English) Zbl 1473.65100 Int. J. Math. Comput. Sci. 16, No. 4, 1803-1829 (2021). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Int. J. Math. Comput. Sci. 16, No. 4, 1803--1829 (2021; Zbl 1473.65100) Full Text: Link
D’Ambrosio, Raffaele; Paternoster, Beatrice Multivalue collocation methods free from order reduction. (English) Zbl 1458.65073 J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021). MSC: 65L04 65L60 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021; Zbl 1458.65073) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice Improved \(\vartheta\)-methods for stochastic Volterra integral equations. (English) Zbl 1453.65016 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105528, 11 p. (2021). MSC: 65C30 60H20 45M10 45D05 PDFBibTeX XMLCite \textit{D. Conte} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105528, 11 p. (2021; Zbl 1453.65016) Full Text: DOI
Conte, Dajana; Mohammadi, Fakhrodin; Moradi, Leila; Paternoster, Beatrice Exponentially fitted two-step peer methods for oscillatory problems. (English) Zbl 1449.65150 Comput. Appl. Math. 39, No. 3, Paper No. 174, 19 p. (2020). MSC: 65L04 65L05 PDFBibTeX XMLCite \textit{D. Conte} et al., Comput. Appl. Math. 39, No. 3, Paper No. 174, 19 p. (2020; Zbl 1449.65150) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. (English) Zbl 1449.65149 Comput. Appl. Math. 39, No. 3, Paper No. 171, 12 p. (2020). MSC: 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{D. Conte} et al., Comput. Appl. Math. 39, No. 3, Paper No. 171, 12 p. (2020; Zbl 1449.65149) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice Adapted explicit two-step peer methods. (English) Zbl 1476.65127 J. Numer. Math. 27, No. 2, 69-83 (2019). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{D. Conte} et al., J. Numer. Math. 27, No. 2, 69--83 (2019; Zbl 1476.65127) Full Text: DOI
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice A spectral method for stochastic fractional differential equations. (English) Zbl 1469.65026 Appl. Numer. Math. 139, 115-119 (2019). Reviewer: Michael Plum (Karlsruhe) MSC: 65C30 34A08 60H10 PDFBibTeX XMLCite \textit{A. Cardone} et al., Appl. Numer. Math. 139, 115--119 (2019; Zbl 1469.65026) Full Text: DOI
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems. (English) Zbl 1498.65187 Comput. Phys. Commun. 226, 55-66 (2018). MSC: 65N06 35K57 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Comput. Phys. Commun. 226, 55--66 (2018; Zbl 1498.65187) Full Text: DOI
Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice Stability issues for selected stochastic evolutionary problems: a review. (English) Zbl 1432.65009 Axioms 7, No. 4, Paper No. 91, 14 p. (2018). MSC: 65C30 60H15 45D05 PDFBibTeX XMLCite \textit{A. Cardone} et al., Axioms 7, No. 4, Paper No. 91, 14 p. (2018; Zbl 1432.65009) Full Text: DOI
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
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice; Rossi, Federico Adapted numerical modelling of the Belousov-Zhabotinsky reaction. (English) Zbl 1406.92797 J. Math. Chem. 56, No. 10, 2876-2897 (2018). MSC: 92E20 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., J. Math. Chem. 56, No. 10, 2876--2897 (2018; Zbl 1406.92797) Full Text: DOI
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice Numerical preservation of long-term dynamics by stochastic two-step methods. (English) Zbl 1396.65011 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2763-2773 (2018). MSC: 65C30 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2763--2773 (2018; Zbl 1396.65011) 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
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice On the stability of \(\vartheta\)-methods for stochastic Volterra integral equations. (English) Zbl 1398.65348 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2695-2708 (2018). MSC: 65R20 65C30 45D05 PDFBibTeX XMLCite \textit{D. Conte} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2695--2708 (2018; Zbl 1398.65348) Full Text: DOI
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts. (English) Zbl 1448.65135 Comput. Math. Appl. 74, No. 5, 1029-1042 (2017). MSC: 65M20 65M06 65L05 35K51 65M50 35B45 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Comput. Math. Appl. 74, No. 5, 1029--1042 (2017; Zbl 1448.65135) Full Text: DOI
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice Exponentially fitted IMEX methods for advection-diffusion problems. (English) Zbl 1375.65121 J. Comput. Appl. Math. 316, 100-108 (2017). MSC: 65M20 35K20 35Q35 65M06 65M12 PDFBibTeX XMLCite \textit{A. Cardone} et al., J. Comput. Appl. Math. 316, 100--108 (2017; Zbl 1375.65121) Full Text: DOI
Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice Numerical solution of time fractional diffusion systems. (English) Zbl 1372.65228 Appl. Numer. Math. 116, 82-94 (2017). MSC: 65M06 35K05 35R11 65M70 65M12 35K57 PDFBibTeX XMLCite \textit{K. Burrage} et al., Appl. Numer. Math. 116, 82--94 (2017; Zbl 1372.65228) Full Text: DOI Link
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
Conte, Dajana; Paternoster, Beatrice Parallel methods for weakly singular Volterra integral equations on GPUs. (English) Zbl 1357.65315 Appl. Numer. Math. 114, 30-37 (2017). MSC: 65R20 45D05 45G05 65Y05 45G15 PDFBibTeX XMLCite \textit{D. Conte} and \textit{B. Paternoster}, Appl. Numer. Math. 114, 30--37 (2017; Zbl 1357.65315) 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; Paternoster, Beatrice Modified Gauss-Laguerre exponential fitting based formulae. (English) Zbl 1349.65098 J. Sci. Comput. 69, No. 1, 227-243 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. Conte} and \textit{B. Paternoster}, J. Sci. Comput. 69, No. 1, 227--243 (2016; Zbl 1349.65098) 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; Paternoster, Beatrice Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods. (English) Zbl 1327.65180 J. Comput. Appl. Math. 294, 436-445 (2016). MSC: 65M20 65M06 35K57 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, J. Comput. Appl. Math. 294, 436--445 (2016; Zbl 1327.65180) Full Text: DOI
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice General Nyström methods in Nordsieck form: error analysis. (English) Zbl 1329.65150 J. Comput. Appl. Math. 292, 694-702 (2016). MSC: 65L06 65L70 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., J. Comput. Appl. Math. 292, 694--702 (2016; Zbl 1329.65150) Full Text: DOI
Cardone, A.; Ixaru, L. Gr.; Paternoster, B.; Santomauro, G. Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution. (English) Zbl 07313351 Math. Comput. Simul. 110, 125-143 (2015). MSC: 65R20 65D32 45M15 PDFBibTeX XMLCite \textit{A. Cardone} et al., Math. Comput. Simul. 110, 125--143 (2015; Zbl 07313351) Full Text: DOI
D’Ambrosio, Raffaele; Paternoster, Beatrice A general framework for the numerical solution of second order odes. (English) Zbl 07313350 Math. Comput. Simul. 110, 113-124 (2015). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, Math. Comput. Simul. 110, 113--124 (2015; Zbl 07313350) Full Text: DOI
Paternoster, Beatrice; De Martino, Giuseppe; D’Ambrosio, Raffaele A symmetric nearly preserving general linear method for Hamiltonian problems. (English) Zbl 1335.65098 Discrete Contin. Dyn. Syst. 2015, Suppl., 330-339 (2015). MSC: 65P10 37M15 PDFBibTeX XMLCite \textit{B. Paternoster} et al., Discrete Contin. Dyn. Syst. 2015, 330--339 (2015; Zbl 1335.65098) Full Text: DOI
D’Ambrosio, R.; Paternoster, B.; Santomauro, G. Revised exponentially fitted Runge-Kutta-Nyström methods. (English) Zbl 1311.65097 Appl. Math. Lett. 30, 56-60 (2014). MSC: 65L06 34C25 34C10 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Appl. Math. Lett. 30, 56--60 (2014; Zbl 1311.65097) 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
Conte, Dajana; Ixaru, Liviu Gr.; Paternoster, Beatrice; Santomauro, Giuseppe Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval. (English) Zbl 1291.65071 J. Comput. Appl. Math. 255, 725-736 (2014). MSC: 65D30 PDFBibTeX XMLCite \textit{D. Conte} et al., J. Comput. Appl. Math. 255, 725--736 (2014; Zbl 1291.65071) Full Text: DOI
D’Ambrosio, R.; Paternoster, B. Exponentially fitted singly diagonally implicit Runge-Kutta methods. (English) Zbl 1301.65070 J. Comput. Appl. Math. 263, 277-287 (2014). MSC: 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, J. Comput. Appl. Math. 263, 277--287 (2014; Zbl 1301.65070) 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; De Martino, Giuseppe; Paternoster, Beatrice Order conditions for general linear Nyström methods. (English) Zbl 1291.65219 Numer. Algorithms 65, No. 3, 579-595 (2014). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Numer. Algorithms 65, No. 3, 579--595 (2014; Zbl 1291.65219) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice Numerical search for algebraically stable two-step almost collocation methods. (English) Zbl 1255.65130 J. Comput. Appl. Math. 239, 304-321 (2013). MSC: 65L05 PDFBibTeX XMLCite \textit{D. Conte} et al., J. Comput. Appl. Math. 239, 304--321 (2013; Zbl 1255.65130) Full Text: DOI
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice Construction of nearly conservative multivalue numerical methods for Hamiltonian problems. (English) Zbl 1329.65305 Commun. Appl. Ind. Math. 3, No. 2, Article ID 412, 18 p. (2012). MSC: 65P10 65L05 37J05 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Commun. Appl. Ind. Math. 3, No. 2, Article ID 412, 18 p. (2012; Zbl 1329.65305)
Paternoster, Beatrice Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday. (English) Zbl 1266.65029 Comput. Phys. Commun. 183, No. 12, 2499-2512 (2012). MSC: 65D15 PDFBibTeX XMLCite \textit{B. Paternoster}, Comput. Phys. Commun. 183, No. 12, 2499--2512 (2012; Zbl 1266.65029) Full Text: DOI
D’Ambrosio, R.; Esposito, E.; Paternoster, B. General linear methods for \(y^{\prime\prime} = f(y(t))\). (English) Zbl 1275.65039 Numer. Algorithms 61, No. 2, 331-349 (2012). Reviewer: Haydar Akca (Abu Dhabi) MSC: 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Numer. Algorithms 61, No. 2, 331--349 (2012; Zbl 1275.65039) Full Text: DOI
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, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice Two-step diagonally-implicit collocation based methods for Volterra integral equations. (English) Zbl 1251.65172 Appl. Numer. Math. 62, No. 10, 1312-1324 (2012). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{D. Conte} et al., Appl. Numer. Math. 62, No. 10, 1312--1324 (2012; Zbl 1251.65172) 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
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. (English) Zbl 1246.65109 Math. Model. Anal. 17, No. 1, 65-77 (2012). Reviewer: Yajuan Sun (Beijing) MSC: 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{D. Conte} et al., Math. Model. Anal. 17, No. 1, 65--77 (2012; Zbl 1246.65109) Full Text: DOI
D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice Parameter estimation in exponentially fitted hybrid methods for second order differential problems. (English) Zbl 1259.65111 J. Math. Chem. 50, No. 1, 155-168 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., J. Math. Chem. 50, No. 1, 155--168 (2012; Zbl 1259.65111) 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)
D’Ambrosio, R.; Esposito, E.; Paternoster, B. Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\). (English) Zbl 1220.65088 J. Comput. Appl. Math. 235, No. 16, 4888-4897 (2011). MSC: 65L05 34A34 34C10 34C25 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., J. Comput. Appl. Math. 235, No. 16, 4888--4897 (2011; Zbl 1220.65088) Full Text: DOI
D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B. Construction of the ef-based Runge-Kutta methods revisited. (English) Zbl 1217.65146 Comput. Phys. Commun. 182, No. 2, 322-329 (2011). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Comput. Phys. Commun. 182, No. 2, 322--329 (2011; Zbl 1217.65146) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice Advances on collocation based numerical methods for ordinary differential equations and Volterra integral equations. (English) Zbl 1216.65097 Simos, Theodore E. (ed.), Recent advances in computational and applied mathematics. Dordrecht: Springer (ISBN 978-90-481-9980-8/hbk; 978-90-481-9981-5/ebook). 41-66 (2011). MSC: 65L60 65R20 65L05 34A34 65L06 45D05 45G10 PDFBibTeX XMLCite \textit{D. Conte} et al., in: Recent advances in computational and applied mathematics. Dordrecht: Springer. 41--66 (2011; Zbl 1216.65097) Full Text: DOI
D’Ambrosio, R.; Ferro, M.; Paternoster, B. Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations. (English) Zbl 1210.65133 Math. Comput. Simul. 81, No. 5, 1068-1084 (2011). MSC: 65L06 65L05 34A34 65L20 34C10 34C25 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Math. Comput. Simul. 81, No. 5, 1068--1084 (2011; Zbl 1210.65133) Full Text: DOI
Conte, D.; Esposito, E.; Paternoster, B.; Ixaru, L. Gr. Some new uses of the \(\eta _m(Z)\) functions. (English) Zbl 1205.65129 Comput. Phys. Commun. 181, No. 1, 128-137 (2010). MSC: 65D20 PDFBibTeX XMLCite \textit{D. Conte} et al., Comput. Phys. Commun. 181, No. 1, 128--137 (2010; Zbl 1205.65129) Full Text: DOI
Cardone, Angelamaria; Ixaru, Liviu Gr.; Paternoster, Beatrice Exponential fitting direct quadrature methods for Volterra integral equations. (English) Zbl 1207.65156 Numer. Algorithms 55, No. 4, 467-480 (2010). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45M15 45D05 45E10 PDFBibTeX XMLCite \textit{A. Cardone} et al., Numer. Algorithms 55, No. 4, 467--480 (2010; Zbl 1207.65156) Full Text: DOI
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.; Ferro, M.; Paternoster, B. Two-step hybrid collocation methods for \(y^{\prime\prime} = f(x,y)\). (English) Zbl 1179.65103 Appl. Math. Lett. 22, No. 7, 1076-1080 (2009). MSC: 65L60 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Appl. Math. Lett. 22, No. 7, 1076--1080 (2009; Zbl 1179.65103) 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
Cardone, A.; Conte, D.; Paternoster, B. A family of multistep collocation methods for Volterra integro-differential equations. (English) Zbl 1182.65200 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, 358-361 (2009). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{A. Cardone} et al., AIP Conf. Proc. 1168, 358--361 (2009; Zbl 1182.65200) Full Text: DOI
Conte, D.; Paternoster, B. Multistep collocation methods for Volterra integral equations. (English) Zbl 1172.65069 Appl. Numer. Math. 59, No. 8, 1721-1736 (2009). Reviewer: Neville Ford (Chester) MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{D. Conte} and \textit{B. Paternoster}, Appl. Numer. Math. 59, No. 8, 1721--1736 (2009; Zbl 1172.65069) Full Text: DOI
Conte, D.; Jackiewicz, Z.; Paternoster, B. Two-step almost collocation methods for Volterra integral equations. (English) Zbl 1160.65066 Appl. Math. Comput. 204, No. 2, 839-853 (2008). Reviewer: Neville Ford (Chester) MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{D. Conte} et al., Appl. Math. Comput. 204, No. 2, 839--853 (2008; Zbl 1160.65066) Full Text: DOI
Paternoster, Beatrice; Shaikhet, Leonid Stability of equilibrium points of fractional difference equations with stochastic perturbations. (English) Zbl 1149.39007 Adv. Difference Equ. 2008, Article ID 718408, 21 p. (2008). MSC: 39A11 39A20 93E15 37H10 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Adv. Difference Equ. 2008, Article ID 718408, 21 p. (2008; Zbl 1149.39007) Full Text: DOI EuDML
D’Ambrosio, R.; Ferro, M.; Paternoster, B. Collocation-based two step Runge-Kutta methods for ordinary differential equations. (English) Zbl 1297.65081 Gervasi, Osvaldo (ed.) et al., Computational science and its applications – ICCSA 2008. International conference, Perugia, Italy, June 30 – July 3, 2008, Proceedings, Part II. Berlin: Springer (ISBN 978-3-540-69840-1/pbk). Lecture Notes in Computer Science 5073, 736-751 (2008). MSC: 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Lect. Notes Comput. Sci. 5073, 736--751 (2008; Zbl 1297.65081) Full Text: DOI
Conte, D.; Paternoster, B. A family of multistep collocation methods for Volterra integral equations. (English) Zbl 1152.65319 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics, Corfu, Greece, 16–20 September 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0447-2/hbk). AIP Conference Proceedings 936, 128-131 (2007). MSC: 65-XX PDFBibTeX XMLCite \textit{D. Conte} and \textit{B. Paternoster}, AIP Conf. Proc. 936, 128--131 (2007; Zbl 1152.65319) Full Text: DOI
D’Ambrosio, R.; Ferro, M.; Paternoster, B. A general family of two step collocation methods for ordinary differential equations. (English) Zbl 1152.65320 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics, Corfu, Greece, 16–20 September 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0447-2/hbk). AIP Conference Proceedings 936, 45-48 (2007). MSC: 65L60 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., AIP Conf. Proc. 936, 45--48 (2007; Zbl 1152.65320) Full Text: DOI
Paternoster, Beatrice; Shaikhet, Leonid Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. (English) Zbl 1149.39006 Adv. Difference Equ. 2007, Article ID 65012, 13 p. (2007). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 93E15 37H10 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Adv. Difference Equ. 2007, Article ID 65012, 13 p. (2007; Zbl 1149.39006) Full Text: DOI EuDML
Paternoster, Beatrice A general family of two step Runge-Kutta-Nyström methods for \(y^{\prime\prime} = f(x,y)\) based on algebraic polynomials. (English) Zbl 1157.65420 Alexandrov, Vassil N. (ed.) et al., Computational science – ICCS 2006. 6th international conference, Reading, UK, May 28–31, 2006. Proceedings, Part IV. Berlin: Springer (ISBN 3-540-34385-7/pbk). Lecture Notes in Computer Science 3994, 700-707 (2006). MSC: 65L06 PDFBibTeX XMLCite \textit{B. Paternoster}, Lect. Notes Comput. Sci. 3994, 700--707 (2006; Zbl 1157.65420) Full Text: DOI
Carpentieri, M.; Paternoster, B. Stability regions of one step mixed collocation methods for \(y''=f(x,y)\). (English) Zbl 1069.65092 Appl. Numer. Math. 53, No. 2-4, 201-212 (2005). MSC: 65L20 65L60 65L06 65L05 34A34 65L50 PDFBibTeX XMLCite \textit{M. Carpentieri} and \textit{B. Paternoster}, Appl. Numer. Math. 53, No. 2--4, 201--212 (2005; Zbl 1069.65092) Full Text: DOI
Martucci, S.; Paternoster, B. Order conditions for a general family of two step nonlinear methods for \(y''= f(x,y)\). (English) Zbl 1136.65069 Int. J. Comput. Numer. Anal. Appl. 6, No. 4, 317-327 (2004). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{S. Martucci} and \textit{B. Paternoster}, Int. J. Comput. Numer. Anal. Appl. 6, No. 4, 317--327 (2004; Zbl 1136.65069)
Ixaru, Liviu G.; Paternoster, Beatrice Function fitting two-step BDF algorithms for ODEs. (English) Zbl 1107.65060 Bubak, Marian (ed.) et al., Computational science – ICCS 2004. 4th international conference, Kraków, Poland, June 6–9, 2004. Proceedings, Part IV. Berlin: Springer (ISBN 3-540-22129-8/pbk). Lecture Notes in Computer Science 3039, 443-450 (2004). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{L. G. Ixaru} and \textit{B. Paternoster}, Lect. Notes Comput. Sci. 3039, 443--450 (2004; Zbl 1107.65060) Full Text: DOI
Martucci, Silvana; Paternoster, Beatrice Vandermonde-type matrices in two step collocation methods for special second order ordinary differential equations. (English) Zbl 1107.65066 Bubak, Marian (ed.) et al., Computational science – ICCS 2004. 4th international conference, Kraków, Poland, June 6–9, 2004. Proceedings, Part IV. Berlin: Springer (ISBN 3-540-22129-8/pbk). Lecture Notes in Computer Science 3039, 418-425 (2004). MSC: 65L10 65L60 34B15 PDFBibTeX XMLCite \textit{S. Martucci} and \textit{B. Paternoster}, Lect. Notes Comput. Sci. 3039, 418--425 (2004; Zbl 1107.65066) Full Text: DOI
Paternoster, B.; Shaikhet, L. Application of the general method of Lyapunov functionals construction for difference Volterra equations. (English) Zbl 1069.39011 Comput. Math. Appl. 47, No. 8-9, 1165-1176 (2004). Reviewer: Yuan Rong (Beijing) MSC: 39A11 39A12 60H25 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Comput. Math. Appl. 47, No. 8--9, 1165--1176 (2004; Zbl 1069.39011) Full Text: DOI
Paternoster, Beatrice Two step Runge-Kutta-Nyström methods for oscillatory problems based on mixed polynomials. (English) Zbl 1147.65317 Sloot, Peter M. A. (ed.) et al., Computational science – ICCS 2003. International conference, Melbourne, Australia and St. Petersburg, Russia, June 2–4, 2003. Proceedings, Part II. Berlin: Springer (ISBN 3-540-40195-4/pbk). Lecture Notes in Computer Science 2658, 131-138 (2003). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{B. Paternoster}, Lect. Notes Comput. Sci. 2658, 131--138 (2003; Zbl 1147.65317) Full Text: DOI
Paternoster, B. Two step Runge-Kutta-Nyström methods based on algebraic polynomials. (English) Zbl 1061.65067 Rend. Mat. Appl., VII. Ser. 23, No. 2, 277-288 (2003). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{B. Paternoster}, Rend. Mat. Appl., VII. Ser. 23, No. 2, 277--288 (2003; Zbl 1061.65067)
Paternoster, Beatrice Two step Runge-Kutta-Nyström methods for \(y'' = f(x,y)\) and P-stability. (English) Zbl 1056.65071 Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21–24, 2002. Proceedings. Part 3. Berlin: Springer (ISBN 3-540-43594-8). Lect. Notes Comput. Sci. 2331, 459-466 (2002). MSC: 65L06 65L05 65L20 65L60 34A34 PDFBibTeX XMLCite \textit{B. Paternoster}, Lect. Notes Comput. Sci. 2331, 459--466 (2002; Zbl 1056.65071) Full Text: DOI
Paternoster, Beatrice General two-step Runge-Kutta methods based on algebraic and trigonometric polynomials. (English) Zbl 1031.65085 Int. J. Appl. Math. 6, No. 4, 347-362 (2001). MSC: 65L06 65L05 34A34 65L60 PDFBibTeX XMLCite \textit{B. Paternoster}, Int. J. Appl. Math. 6, No. 4, 347--362 (2001; Zbl 1031.65085)
Ixaru, L. Gr.; Paternoster, B. A Gauss quadrature rule for oscillatory integrands. (English) Zbl 0977.65019 Comput. Phys. Commun. 133, No. 2-3, 177-188 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65D32 65T40 42A16 PDFBibTeX XMLCite \textit{L. Gr. Ixaru} and \textit{B. Paternoster}, Comput. Phys. Commun. 133, No. 2--3, 177--188 (2001; Zbl 0977.65019) Full Text: DOI
Messina, E.; Paternoster, B. Efficient methods for special second-order ODEs. (English) Zbl 0987.65062 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 46, Suppl., 317-328 (2000). Reviewer: M.Plum (Karlsruhe) MSC: 65L05 34A34 34C10 65L06 34C25 PDFBibTeX XMLCite \textit{E. Messina} and \textit{B. Paternoster}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 46, 317--328 (2000; Zbl 0987.65062)
Paternoster, B. A phase-fitted collocation-based Runge-Kutta-Nyström method. (English) Zbl 0979.65063 Appl. Numer. Math. 35, No. 4, 339-355 (2000). Reviewer: Riccardo Fazio (Messina) MSC: 65L06 65L60 65L05 34A34 PDFBibTeX XMLCite \textit{B. Paternoster}, Appl. Numer. Math. 35, No. 4, 339--355 (2000; Zbl 0979.65063) Full Text: DOI
Paternoster, B.; Shaikhet, L. About stability of nonlinear stochastic difference equations. (English) Zbl 0959.60056 Appl. Math. Lett. 13, No. 5, 27-32 (2000). MSC: 60H25 39A10 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Appl. Math. Lett. 13, No. 5, 27--32 (2000; Zbl 0959.60056) Full Text: DOI
Cafaro, Massimo; Paternoster, Beatrice Analysis of stability of rational approximations through computer algebra. (English) Zbl 1072.65512 Ganzha, V. G. (ed.) et al., Computer algebra in scientific computing. CASC ’99. Proceedings of the 2nd workshop, Munich, Germany, May 31 - June 4, 1999. Berlin: Springer (ISBN 3-540-66047-X). 25-36 (1999). MSC: 65L06 PDFBibTeX XMLCite \textit{M. Cafaro} and \textit{B. Paternoster}, in: Computer algebra in scientific computing. CASC '99. Proceedings of the 2nd workshop, Munich, Germany, May 31 - June 4, 1999. Berlin: Springer. 25--36 (1999; Zbl 1072.65512)
Ixaru, L. Gr.; Paternoster, B. A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y''=f(x,y)\). (English) Zbl 0934.65079 J. Comput. Appl. Math. 106, No. 1, 87-98 (1999). Reviewer: R.Fazio(Messina) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{L. Gr. Ixaru} and \textit{B. Paternoster}, J. Comput. Appl. Math. 106, No. 1, 87--98 (1999; Zbl 0934.65079) Full Text: DOI
Paternoster, B. Order bound for a family of parallel Runge-Kutta-Nyström methods through computer algebra. (English) Zbl 0999.65068 Comput. Math. Appl. 35, No. 9, 107-119 (1998). MSC: 65L06 65L05 65L20 34A34 65Y05 68W30 PDFBibTeX XMLCite \textit{B. Paternoster}, Comput. Math. Appl. 35, No. 9, 107--119 (1998; Zbl 0999.65068) Full Text: DOI
Paternoster, Beatrice; Sessa, Maria I. A workload characterization by clustering technique. (English) Zbl 0993.68089 Comput. Artif. Intell. 17, No. 4, 365-382 (1998). Reviewer: Marián Vajteršic (Bratislava) MSC: 68T10 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{M. I. Sessa}, Comput. Artif. Intell. 17, No. 4, 365--382 (1998; Zbl 0993.68089)
Paternoster, B. Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. (English) Zbl 0927.65097 Appl. Numer. Math. 28, No. 2-4, 401-412 (1998). Reviewer: Iulian Coroian (Baia Mare) MSC: 65L06 65L05 34C25 34A34 PDFBibTeX XMLCite \textit{B. Paternoster}, Appl. Numer. Math. 28, No. 2--4, 401--412 (1998; Zbl 0927.65097) Full Text: DOI
Crisci, Maria Rosaria; Paternoster, Beatrice Parallel Runge-Kutta-Nyström methods. (English) Zbl 0928.65087 Ric. Mat. 47, No. 1, 125-147 (1998). MSC: 65L06 34A34 65L05 65L20 65Y05 PDFBibTeX XMLCite \textit{M. R. Crisci} and \textit{B. Paternoster}, Ric. Mat. 47, No. 1, 125--147 (1998; Zbl 0928.65087)
Paternoster, B.; Cafaro, M. Compuation of the interval of stability of Runge-Kutta-Nyström methods. (English) Zbl 0908.65071 J. Symb. Comput. 25, No. 3, 383-394 (1998). Reviewer: E.Hairer (Genève) MSC: 65L20 65L05 65L06 34A34 68W30 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{M. Cafaro}, J. Symb. Comput. 25, No. 3, 383--394 (1998; Zbl 0908.65071) Full Text: DOI
Paternoster, B. Composite symplectic Runge-Kutta(-Nyström) methods. (English) Zbl 0891.65084 Dyn. Syst. Appl. 6, No. 2, 231-241 (1997). Reviewer: J.B.Butler jun.(Portland) MSC: 65L06 65L05 37J99 PDFBibTeX XMLCite \textit{B. Paternoster}, Dyn. Syst. Appl. 6, No. 2, 231--241 (1997; Zbl 0891.65084)
Crisci, M. R.; Paternoster, B.; Russo, E. Fully parallel Runge-Kutta-Nyström methods for ODEs with oscillating solutions. (English) Zbl 0782.65090 Appl. Numer. Math. 11, No. 1-3, 143-158 (1993). Reviewer: R.Scherer (Karlsruhe) MSC: 65L06 65Y05 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{M. R. Crisci} et al., Appl. Numer. Math. 11, No. 1--3, 143--158 (1993; Zbl 0782.65090) Full Text: DOI