Publications

2024

127) Raffaele D'Ambrosio, Stefano Di Giovacchino, Strong backward error analysis of symplectic integrators for stochastic Hamiltonian systems, Appl. Math. Comput. 467, article number 128488 (2024). pdf

126) Raffaele D'Ambrosio, Hugo de la Cruz, Carmela Scalone, A Magnus-based integrator for Brownian parametric semi-linear oscillators, Appl. Math. Comput. 472, article number 128610 (2024). pdf

125) Afsaneh Moradi, Raffaele D'Ambrosio, Random periodic solutions of SDEs: existence, uniqueness and numerical issues, Comm. Nonlin. Sci. Numer. Simul 128, article number 107586 (2024). pdf

124) Afsaneh Moradi, Jeremy Chouchoulis, Raffaele D'Ambrosio, Jochen Schutz, Jacobian-Free Explicit Multiderivative General Linear Methods for Hyperbolic Conservation Laws, Numer. Algorithms 97, 1823–1858, (2024). pdf

123) A. Bazzani, R. D'Ambrosio, P. Freguglia, E. Venturino, A probabilistic phenotype dynamical model for sympatric speciation: some properties and numerical results, J. Biol. Sys., doi: 10.1142/S0218339024400096 (2024). 

2023

122) Raffaele D'Ambrosio, Stefano Di Giovacchino, Long-term analysis of stochastic Hamiltonian systems under time discretizations, SIAM J. Sci. Comput. 45(2), A257-A288 (2023). pdf

121) Raffaele D’Ambrosio, Stefano Di Giovacchino, Numerical conservation issues for the stochastic Korteweg-de Vries equation, J. Comput. Appl. Math. 424, article number 114967 (2023). pdf

120) Raffaele D’Ambrosio, Stefano Di Giovacchino, Giuseppe Giordano, Beatrice Paternoster, On the conservative character of discretizations to Itô-Hamiltonian systems with small noise, Appl. Math. Lett. 138, article number 108529 (2023). pdf

119) F. Antonelli, R. D'Ambrosio, I. Gallo, Analysis of non-linear approximated value equation under multiple risk factors and stochastic intensities, Comput. Math. with Appl. 140, 24-32 (2023). pdf

118) Raffaele D’Ambrosio, Stefano Di Giovacchino, How do Monte Carlo estimates affect stochastic geometric numerical integration?, Int. J. Comput. Math. 100(1), 192-208 (2023). 

117) Raffaele D’Ambrosio, Afsane Moradi, Carmela Scalone, A long term analysis of stochastic theta methods for mean reverting linear process with jumps, Appl. Numer. Math. 185, 516-529 (2023). 

116) Raffaele D’Ambrosio, Nicola Guglielmi, Carmela Scalone, Destabilising nonnormal stochastic differential equations, Discrete Continuous Dyn. Syst. Ser. B 28(3), 1632-1642 (2023). pdf

115) A. Moradi, R. D'Ambrosio, B. Paternoster, Variable stepsize multivalue collocation methods, Appl. Numer. Math. 190, 1-14 (2023).

114) R. D’Ambrosio, S. Di Giovacchino, C. Scalone, Principles of stochastic geometric numerical integrations: Dissipative problems and stochastic oscillators,  AIP Conf. Proc. 2849, 020002 (2023). 

113) D. Conte, R. D’Ambrosio, G. Giordano, S. Mottola, B.  Paternoster, Stiff problems nowadays: Novel numerics and fake news,  AIP Conf. Proc. 2849, 020004 (2023).

112) N. Carissimo, R. D’Ambrosio, M. Guzzo, S. Labarile, C. Scalone, Forecasting in Shipments: Comparison of Machine Learning Regression Algorithms on Industrial Applications for Supply Chain, in Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2023, Lecture Notes in Computer Science, vol 13957. Springer, Cham. 462-470 (2023).

2022

111) Raffaele D’Ambrosio, Book review: “B-Series: Algebraic Analysis of Numerical Methods” by John C. Butcher, European Mathematical Society Magazine 124, 63-64 (2022). pdf

110) Raffaele D’Ambrosio, Stefano Di Giovacchino, Numerical preservation issues in stochastic dynamical systems by θ-methods, J. Comput. Dyn. 9(2), 123-131 (2022). pdf

109) Ali Abdi, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Multivalue second derivative collocation methods, Appl. Numer. Math. 182, 344-355 (2022).

108) Angelamaria Cardone, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Multivalue Collocation Methods for Ordinary and Fractional Differential Equations, Mathematics 10(2), 185 (2022). pdf

107) Raffaele D’Ambrosio, Patricia Diaz de Alba, Giuseppe Giordano, Beatrice Paternoster, A Modified SEIR Model: Stiffness Analysis and Application to the Diffusion of Fake News, in ICCSA 2022, O. Gervasi et al. (Eds.), Lecture Notes in Computer Science, 90-104, Springer Nature Switzerland (2022). pdf

106) R. D’Ambrosio, S. Mottola, B. Paternoster, Stiffness Ratio and the Diffusion of Fake News. In: Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conf. Proc. 2425, 090004 (2022). 

105) D. Conte, R. D’Ambrosio, M.P. D’Arienzo, B. Paternoster, Semi-implicit Multivalue Almost Collocation Methods. In: Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conf. Proc. 2425, 090005 (2022). 

104) R. D’Ambrosio, G. Giordano, B. Paternoster, Numerical Conservation Issues for Stochastic Hamiltonian Problems. In: Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conf. Proc. 2425, 090007 (2022). 

103) D. Breda, J.K. Canci, R. D’Ambrosio, An Invitation to Stochastic Differential Equations in Healthcare, Quantitative Models in Life Science Business, SpringerBriefs in Economics, 97-110 (2022).

2021

102) Evelyn Buckwar, Raffaele D’Ambrosio, Exponential mean-square stability properties of stochastic linear multistep methods, Adv. Comput. Math. 47, article number 55 (2021). pdf

101) Evelyn Buckwar, Raffaele D’Ambrosio, Correction to: Exponential mean-square stability properties of stochastic linear multistep methods, Adv. Comput. Math. 47(6), 78 (2021). pdf

100) Raffaele D’Ambrosio, Giuseppe Giordano, Serena Mottola, Beatrice Paternoster, Stiffness Analysis to Predict the Spread Out of Fake Information, Future Internet 13(9), article number 222 (2021). pdf

99) Raffaele D'Ambrosio, Carmela Scalone, Filon quadrature for stochastic oscillators driven by time-varying forces, Appl. Numer. Math. 169, 21-31 (2021). pdf

98) Marcello Antonio Budroni, Giovanni Pagano, Dajana Conte, Beatrice Paternoster, Raffaele D'Ambrosio, Sandra Ristori, Ali Abou-Hassan, Federico Rossi, Synchronization scenarios induced by delayed communication in arrays of diffusively coupled autonomous chemical oscillators, Phys. Chem. Chem. Phys. 23(32), 17606-17615 (2021). pdf

97) Raffaele D'Ambrosio, Martina Moccaldi, Beatrice Paternoster, Adapted numerical modeling for advection-reaction-diffusion problems on a bidimensional spatial domain, Int. J. Math. Comput. Sci. 16(4), 1803-1829 (2021). pdf

96) Dajana Conte, Raffaele D'Ambrosio, Maria Pia D'Arienzo, Beatrice Paternoster, Multivalue mixed collocation methods, Appl. Math. Comp. 409, article number 126346 (2021). pdf

95) Raffaele D'Ambrosio, Giuseppe Giordano, Beatrice Paternoster, Andrea Ventola, Perturbative analysis of stochastic Hamiltonian problems under time discretizations, Appl. Math. Lett. 409, article number 107223 (2021). pdf

94) Raffaele D'Ambrosio, Stefano Di Giovacchino, Mean-square contractivity of stochastic theta-methods, Comm. Nonlin. Sci. Numer. Simul. 96, article number 105671 (2021). pdf

93) Raffaele D'Ambrosio, Stefano Di Giovacchino, Nonlinear stability issues for stochastic Runge-Kutta methods, Comm. Nonlin. Sci. Numer. Simul. 94, article number 105549 (2021). pdf

92) Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Improved theta-methods for stochastic Volterra integral equations, Comm. Nonlin. Sci. Numer. Simul. 93, article number 105528 (2021). pdf

91) Raffaele D'Ambrosio, Beatrice Paternoster, Multivalue collocation methods free from order reduction, J. Comput. Appl. Math. 387, article number 112515 (2021). pdf

90) Raffaele D’Ambrosio, Carmela Scalone, Two-step Runge-Kutta methods for stochastic differential equations, Appl. Math. Comput. 403, article number 125930 (2021). pdf

89) Raffaele D'Ambrosio, Carmela Scalone, On the numerical structure preservation of nonlinear damped stochastic oscillators, Numer. Algorithms 86(3), 933-952 (2021). pdf

88) Raffaele D'Ambrosio, Stefano Di Giovacchino, Optimal θ-Methods for Mean-Square Dissipative Stochastic Differential Equations, in ICCSA 2021, O. Gervasi et al. (Eds.), Lecture Notes in Computer Science 12949, pp. 121-134, doi: 10.1007/978-3-030-86653-2_9, Springer Nature Switzerland (2021). pdf

87) Raffaele D'Ambrosio, Carmela Scalone, Asymptotic Quadrature Based Numerical Integration of Stochastic Damped Oscillators, in ICCSA 2021, O. Gervasi et al. (Eds.), Lecture Notes in Computer Science 12950, pp. 622-629, doi: 10.1007/978-3-030-86960-1_45, Springer Nature Switzerland (2021). pdf

86) Dajana Conte, Raffaele D'Ambrosio, Giuseppe Giordano, Beatrice Paternoster, Continuous Extension of Euler-Maruyama Method for Stochastic Differential Equations, in ICCSA 2021, O. Gervasi et al. (Eds.), Lecture Notes in Computer Science 12949, pp. 135-145, doi: 10.1007/978-3-030-86653-2_10, Springer Nature Switzerland (2021). pdf

85) G. Pagano, M.A. Budroni, R. D’ambrosio, D. Conte, A. Abou Hassan, S. Ristori, F. Rossi, B. Paternoster, A model for coupled Belousov-Zhabotinsky oscillators with delay, World Congress in Computational Mechanics and ECCOMAS Congress 2021, 700, 1-9 (2021). link

2020

84) Chuchu Chen, David Cohen, Raffaele D'Ambrosio, Annika Lang, Drift-preserving numerical integrators for stochastic Hamiltonian systems, Adv. Comput. Math. 46, art. no.:27 (2020). pdf

83) Vincenzo Citro, Raffaele D'Ambrosio, Nearly conservative multivalue methods with extended bounded parasitism, Appl. Numer Math. 152, 221-230 (2020). pdf

82) Dajana Conte, Raffaele D'Ambrosio, Giovanni Pagano, Beatrice Paternoster, Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems, Comput. Appl. Math. 39(3), 171 (2020). pdf

81) Vincenzo Citro, Raffaele D'Ambrosio, Stefano Di Giovacchino, A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations, Appl. Math. Lett. 102, 106098 (2020). pdf

80) Vincenzo Citro, Raffaele D'Ambrosio, Long-term analysis of stochastic theta-methods for damped stochastic oscillators, Appl. Numer Math. 150, 18-26 (2020). pdf

79) Raffaele D'Ambrosio, Stefano Di Giovacchino, Donato Pera, Parallel Numerical Solution of a 2DChemotaxis-Stokes System on GPUs Technology, in ICCS2020, V. V. Krzhizhanovskaya et al. (Eds.), Lecture Notes in Computer Science 12137, doi: 10.1007/978-3-030-50371-0-5, Springer Nature Switzerland (2020). pdf

78) Dajana Conte, Raffaele D'Ambrosio, Giuseppe Giordano, Liviu Gr. Ixaru, Beatrice Paternoster, User-friendly expressions of the coefficients of some exponentially fitted methods, in ICCSA2020, Lecture Notes in Computer Science 12249, Chapter 4, pp. 1-16, doi: 10.1007/978-3-030-58799-4-4, Springer Nature Switzerland (2020). pdf

77) Dajana Conte, Raffaele D'Ambrosio, Maria Pia D'Arienzo, Beatrice Paternoster, Multivalue Almost Collocation Methods with Diagonal Coefficient Matrix, in ICCSA2020, Lecture Notes in Computer Science 12249, Chapter 10, pp. 1-14, 10.1007/978-3-030-58799-4-10, Springer Nature Switzerland (2020). pdf

76) Dajana Conte, Raffaele D'Ambrosio, Maria Pia D’Arienzo, Beatrice Paternoster, Singly diagonally implicit multivalue collocation methods, in International Conference on Mathematics and Computers in Science and Engineering (MACISE2020), IEEE Catalog Number: CFP20S31-ART, ISBN: 978-1-7281-6695-7 65-58 (2020). pdf

75) Dajana Conte, Raffaele D'Ambrosio, Giuseppe Giordano, Beatrice Paternoster, Regularized exponentially fitted methods for oscillatory problems, Journal of Physics: Conference Series 1564, 012013 (2020). pdf

74) Dajana Conte, Raffaele D'Ambrosio, Maria Pia D'Arienzo, Beatrice Paternoster, One-point spectrum Nordsieck almost collocation methods, Int. J. Circ. Sys. Sign. Proc. 14, 266-275 (2020). pdf

73) Dajana Conte, Raffaele D'Ambrosio, Maria Pia D’Arienzo, Beatrice Paternoster, Highly stable multivalue collocation methods, Journal of Physics: Conference Series 1564, 012012 (2020). pdf

2019

72) Angelamaria Cardone, Raffaele D’Ambrosio, Beatrice Paternoster, A spectral method for stochastic fractional differential equations, Applied Numerical Mathematics 139, 115–119 (2019). pdf

71) Armando Bazzani, Raffaele D’Ambrosio, Paolo Freguglia, Ezio Venturino, Maddalena Del Gallo, Claudia Ercole, Federica Matteucci, A dynamical model for sympatric speciation in an ecological niche, Theor. Biol. Forum 112(1-2), 13-20 (2019). Link

70) Dajana Conte, Raffaele D'Ambrosio, Martina Moccaldi Beatrice Paternoster, Adapted explicit two-step peer methods, J. Numer. Math. 27(2), 69-83 (2019). pdf

69) Raffaele D'Ambrosio, M. Moccaldi, Beatrice Paternoster, Adapted IMEX Numerical Methods for Reaction-Diffusion Problems, Int. J. Circ. Sys. Sign. Proc. 13, 507-515 (2019). pdf

2018

68) Angelamaria Cardone, Dajana Conte, Raffaele D’Ambrosio, Beatrice Paternoster, Stability Issues for Selected Stochastic Evolutionary Problems: A Review, Axioms 7(4), 91 (2018). pdf

67) Angelamaria Cardone, Dajana Conte, Raffaele D’Ambrosio, Beatrice Paternoster, Collocation Methods for Volterra Integral and Integro-Differential Equations: A Review, Axioms 7(3), 45 (2018). pdf

66) Raffaele D’Ambrosio, Martina Moccaldi, Beatrice Paternoster, Federico Rossi, Adapted numerical modelling of the Belousov-Zhabotinsky reaction, Journal of Mathematical Chemistry 56(10), 2867-2897 (2018). pdf

65) Raffaele D'Ambrosio, Martina Moccaldi, Beatrice Paternoster, Federico Rossi, Stochastic Numerical Models of Oscillatory Phenomena, in Artificial Life and Evolutionary Computation, Wivace 2017 Workshop, Venice, 19-21 September 2017, Springer, doi: 10.1007/978-3-319-78658-2_5 (2018). pdf

64) Raffaele D'Ambrosio, Martina Moccaldi, Beatrice Paternoster, Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems, Comput. Phys. Commun. 226, 55-66 (2018). pdf

63) Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, On the stability of theta-methods for stochastic Volterra integral equations, Discr. Cont. Dyn. Sys. - B 23(7), 2695-2708 (2018). pdf

62) Raffaele D'Ambrosio, Martina Moccaldi, Beatrice Paternoster, Numerical preservation of long-term dynamics by stochastic two-step methods, Discr. Cont. Dyn. Sys. - B 23(7), 2763-2773 (2018). pdf

61) Angelamaria Cardone, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, On Quadrature Formulas for Oscillatory Evolutionary Problems, Int. J. Circ. Sys. Sign. Proc. 12, 58-64 (2018). pdf

2017

60) John Butcher, Raffaele D'Ambrosio, Partitioned general linear methods for separable Hamiltonian problems, Appl. Numer. Math. 117, 69-86 (2017). pdf

59) Kevin Burrage, Angelamaria Cardone, Raffaele D'Ambrosio, Beatrice Paternoster, Numerical solution of time fractional diffusion systems, Appl. Numer. Math. 116, 82-94 (2017). pdf

58) Angelamaria Cardone, Raffaele D'Ambrosio, Beatrice Paternoster, Exponentially fitted IMEX methods for advection-diffusion problems, J. Comput. Appl. Math. 316, 100-108 (2017). pdf

57) Angelamaria Cardone, Raffaele D'Ambrosio, Beatrice Paternoster, High order exponentially fitted methods for Volterra integral equations with periodic solution, Appl. Numer. Math. 114C, 18-29 (2017). pdf

56) Raffaele D'Ambrosio, Martina Moccaldi, Beatrice Paternoster, Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts, Comput. Math. Appl. 74(5), 1029-1042 (2017). pdf

55) Angelamaria Cardone, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Stability issues in multivalue numerical methods for ordinary differential equations, Int. J. Circ. Sys. Sign. Proc. 11, 433-444 (2017). pdf

54) Angelamaria Cardone, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Multivalue Approximation of Second Order Differential Problems: a Review, Int. J. Circ. Sys. Sign. Proc. 11, 319-327 (2017). pdf

53) Raffaele D'Ambrosio, Martina Moccaldi, Federico Rossi, Beatrice Paternoster, On the employ of time series in the numerical treatment of differential equations modelling oscillatory phenomena. In: Advances in Artificial Life, Evolutionary Computation, and Systems Chemistry - 11th Workshop, WIVACE 2016, Fisciano, Italy, October 4-6, 2016, ed. by F. Rossi, S. Piotto, S. Concilio, Communications in Computer and Information Science, Springer (2017). pdf

52) Angelamaria Cardone, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, On the numerical treatment of selected oscillatory evolutionary problems. In: Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conference Proceedings 1836(1), 160004 (2017). pdf

2016

51) Raffaele D'Ambrosio, Beatrice Paternoster, Numerical solution of reaction-diffusion systems of lambda-omega type by trigonometrically fitted methods, J. Comput. Appl. Math. 294 C, 436-445 (2016). pdf

50) Raffaele D'Ambrosio, Beatrice Paternoster, Carmen Scalone, Numerical modeling of T-cell dynamics by reaction-diffusion problems, Int. J. Math. Models Methods Appl. Sci. 10, 321-331 (2016). pdf

49) Angelamaria Cardone, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Modified collocation techniques for evolutionary problems, Int. J. Math. Models Methods Appl. Sci. 10, 266-273 (2016). pdf

48) Raffaele D'Ambrosio, Giuseppe De Martino, Beatrice Paternoster. General Nystrom methods in Nordsieck form: error analysis, J. Comput. Appl. Math. 292, 694-702 (2016). pdf

47) Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, GPU acceleration of waveform relaxation methods for large differential systems, Numer. Algorithms 71(2), 293-310 (2016). pdf

46) Angelamaria Cardone, Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Adapted numerical methods for oscillatory evolutionary problems, Int. J. Mech. 10, 266-273 (2016). pdf

45) Raffaele D'Ambrosio, Some recent advances in the numerical solution of differential equations. In: Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conference Proceedings 1738, 020002 (2016). pdf

2015

44) Raffaele D'Ambrosio, Beatrice Paternoster, A general framework for numerical methods solving second order differential problems, Math. Comput. Simul. 110(1), 113-124 (2015). pdf

43) Raffaele D'Ambrosio, Giuseppe De Martino, Beatrice Paternoster, A symmetric nearly preserving general linear method for Hamiltonian problems, Discrete Contin. Dyn. Syst., 330-339 (2015). pdf

42) Raffaele D'Ambrosio, Martina Moccaldi, Beatrice Paternoster (2015). Highly stable multivalue numerical methods. In: Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conference Proceedings 1648, 150005. pdf

41) Raffaele D'Ambrosio, Multi-value numerical methods for Hamiltonian systems. In: ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013, ed. by A. Abdulle, S. Deparis, D. Kressner, F. Nobile, M. Picasso, Lecture Notes in Computer Science and Engineering vol. 103, Springer (2015). pdf

2014

40) Raffaele D'Ambrosio, Ernst Hairer, Long-term stability of multi-value methods for ordinary differential equations, J. Sci. Comput. 60(3), 627-640 (2014). pdf

39) Raffaele D'Ambrosio, Giuseppe De Martino, Beatrice Paternoster, Numerical integration of Hamiltonian problems by G-symplectic methods, Adv. Comput. Math. 40(2), 553-575 (2014). pdf

38) Raffaele D'Ambrosio, Beatrice Paternoster, Exponentially fitted singly diagonally implicit Runge-Kutta methods, J. Comput. Appl. Math. 263, 277-287 (2014). pdf

37) Raffaele D'Ambrosio, Giuseppe De Martino, Beatrice Paternoster, Order conditions of general Nystrom methods, Numer. Algorithms 65(3), 579-595 (2014). pdf

36) Raffaele D'Ambrosio, Beatrice Paternoster, Giuseppe Santomauro, Revised exponentially fitted Runge-Kutta-Nystrom methods, Appl. Math. Lett. 30, 56-60 (2014). pdf

35) Raffaele D'Ambrosio, Beatrice Paternoster, P-stable general Nystrom methods for y''=f(x,y), J. Comput. Appl. Math. 262, 271-280 (2014). pdf

34) Dajana Conte, Raffaele D'Ambrosio, Giuseppe Izzo, Zdzislaw Jackiewicz, Natural Volterra Runge-Kutta methods, Numer. Algorithms 65(3), 421-445 (2014). pdf

33) Raffaele D'Ambrosio, Beatrice Paternoster, Numerical solution of a diffusion problem by exponentially fitted finite difference methods, Springer Plus 3(1), 425-431 (2014). pdf

2013

32) Raffaele D'Ambrosio, Ernst Hairer, Christophe Zbinden, G-symplecticity implies conjugate-symplecticity of the underlying one-step method, BIT Numer. Math. 53, 867-872 (2013). pdf

31) Dajana Conte, Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Beatrice Paternoster, Numerical search for algebrically stable two-step continuous Runge-Kutta methods, J. Comput. Appl. Math. 239, 304-321 (2013). pdf

30) Michal Bras, Angelamaria Cardone, Raffaele D'Ambrosio, Implementation of explicit Nordsieck methods with inherent quadratic stability, Math. Model. Anal. 18(2), 289-307 (2013). pdf

2012

29) Raffaele D'Ambrosio, Giuseppe De Martino, Beatrice Paternoster, Construction of nearly conservative multivalue numerical methods for Hamiltonian problems, Commun. Appl. Ind. Math. 3(2), e-412, doi:10.1685/journal.caim.412 (2012). pdf

28) Raffaele D'Ambrosio, Elena Esposito, Beatrice Paternoster, Parameter estimation in two-step hybrid methods for second order ordinary differential equations, J. Math. Chem. 50(1), 155-168 (2012). pdf

27) Dajana Conte, Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Beatrice Paternoster, A pratical approach for the derivation of algebraically stable two-step Runge-Kutta methods, Math. Model. Anal. 17(1), 65-77 (2012). pdf

26) Raffaele D'Ambrosio, Giuseppe Izzo, Zdzislaw Jackiewicz, Search for highly stable two-step Runge-Kutta methods for ODEs, Appl. Numer. Math. 62(10), 1361-1379 (2012). pdf

25) Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Two-step diagonally-implicit collocation-based methods for Volterra Integral Equations, Appl. Numer. Math. 62(10), 1312-1324 (2012). pdf

24) Raffaele D'Ambrosio, Beatrice Paternoster, Two-step modified collocation methods with structured coefficients matrix for Ordinary Differential Equations, Appl. Numer. Math. 62(10), 1325-1334 (2012). pdf

23) Raffaele D'Ambrosio, Elena Esposito, Beatrice Paternoster, Exponentially fitted two-step Runge-Kutta methods: Construction and parameter selection, Appl. Math. Comp. 218(14), 7468-7480 (2012). pdf

22) Raffaele D'Ambrosio, Elena Esposito, Beatrice Paternoster, General linear methods for y''=f(y(t)), Numer. Algorithms 61(2), 331-349 (2012). pdf

21) Raffaele D'Ambrosio, On the G-symplecticity of two-step Runge-Kutta methods, Commun. Appl. Ind. Math. 3(1), doi: 10.1685/journal.caim.000403 (2012). pdf

20) Raffaele D'Ambrosio, Giuseppe Izzo, Zdzislaw Jackiewicz, Perturbed MEBDF methods, Comput. Math. Appl. 63(4), 851-861 (2012). pdf

19) Raffaele D'Ambrosio, Beatrice Paternoster, Diagonally implicit exponentially fitted Runge-Kutta methods with equation dependent coefficients. In: AIP Conference Proceedings, Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras. Vol. 1479, p. 1185-1188 (2012). pdf

2011

18) Raffaele D'Ambrosio, Metodi numerici altamente stabili per equazioni funzionali, La Matematica nella Società e nella Cultura, Serie I, Vol. IV, p. 43-46 (2011). pdf

17) Raffaele D'Ambrosio, Liviu Gr. Ixaru, Beatrice Paternoster, Construction of the EF-based Runge-Kutta methods revisited, Comput. Phys. Commun. 182, 322-329 (2011). pdf

16) Raffaele D'Ambrosio, Elena Esposito, Beatrice Paternoster, Exponentially fitted two-step hybrid for $y''=f(x,y)$, J. Comput. Appl. Math. 235, 4888-4897 (2011). pdf

15) Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Construction and implementation of highly stable two-step continuous methods for stiff differential systems, Math. Comput. Simul. 81(9), 1707-1728 (2011). pdf

14) Raffaele D'Ambrosio, Maria Ferro, Beatrice Paternoster, Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations, Math. Comput. Simul. 81, 1068-1084 (2011). pdf

13) Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Construction of diagonally implicit almost collocation methods for Volterra Integral Equations, Rivista di Matematica dell'Università di Parma 2, 125-146 (2011). pdf

2010

12) Dajana Conte, Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Two-step Runge-Kutta methods with quadratic stability functions, J. Sci. Comput. 2, 191-218 (2010). pdf

11) Raffaele D'Ambrosio, Maria Ferro, Zdzislaw Jackiewicz, Beatrice Paternoster, Two step almost collocations methods for Ordinary Differential Equations, Numer. Algorithms 53(2-3), 195-217 (2010). pdf

10) Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Continuous Two-Step Runge-Kutta Methods for Ordinary Differential Equations, Numer. Algorithms 54(2), p. 169-193 (2010). pdf

9) Dajana Conte, Raffaele D'Ambrosio, Beatrice Paternoster, Advances on collocation based numerical methods for Ordinary Differential Equations and Volterra Integral Equations. In: Recent Advances in Computational and Applied Mathematics, ed. by Theodore E. Simos (Springer). p. 41-66, ISBN: 9789048199808 (2010). pdf

8) Dajana Conte, Raffaele D'Ambrosio, Maria Ferro, Beatrice Paternoster, Piecewise-polynomial approximants for solutions of Functional Equations. In: I. Capuzzo Dolcetta, M. Transirico, A. Vitolo. Percorsi Incrociati (in ricordo di Vittorio Cafagna). p. 101-113, Rubbettino Editore, ISBN: 9788849828542 (2010). pdf

2009

7) Raffaele D'Ambrosio, Maria Ferro, Beatrice Paternoster, Two-Step Hybrid Collocation Methods for y''=f(x,y), Appl. Math. Lett. 22(7), 1076-1080 (2009). pdf

6) Raffaele D'Ambrosio, Giuseppe Izzo, Zdzislaw Jackiewicz, Highly Stable General Linear Methods for Differential Systems. In: AIP Conference Proceedings, Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras. Vol. 1168(1), 21-24 (2009). pdf

5) Dajana Conte, Raffaele D'Ambrosio, Maria Ferro, Beatrice Paternoster, Practical construction of Two-Step Collocation Runge-Kutta methods for Ordinary Differential Equations. In: Applied and Industrial Mathematics in Italy III, ed. by E. De Bernardis; R. Spigler; V. Valente, 278-288 (World Scientific Publishing), ISBN: 9789814280297 (2009). pdf

4) Raffaele D'Ambrosio, Beatrice Paternoster, Runge-Kutta-Nystrom Stability for a Class of General Linear Methods for y''=f(x,y). In: AIP Conference Proceedings, Numerical Analysis and Applied Mathematics, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras. Vol. 1168 (1), p. 444-447 (2009). pdf

3) Dajana Conte, Raffaele D'Ambrosio, Maria Ferro, Beatrice Paternoster, Modified Collocation Techniques for Volterra Integral Equations. In: Applied and Industrial Mathematics in Italy III, ed. by E. De Bernardis; R. Spigler; V. Valente. p. 268-277, World Scientific Publishing, ISBN: 9789814280297 (2009). pdf

2008

2) Raffaele D'Ambrosio, Maria Ferro, Beatrice Paternoster, Collocation-Based Two-Step Runge-Kutta Methods for Ordinary Differential Equations. In: Computational Science and Its Applications ICCSA 2008. Lecture Notes in Computer Science, vol. 5073/2008, p. 736-751, Springer. ISBN: 9783540698401, ISSN: 1611-3349 (2008). pdf

2007

1) Raffaele D'Ambrosio, Maria Ferro, Beatrice Paternoster, A general family of two step collocation methods for Ordinary Differential Equations. In: AIP Conference Proceedings, NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, ed. by T. E. Simos, G. Psihoyios, Ch. Tsitouras. Vol. 936, p. 45-49 (2007). pdf