98. G. Ciampa, G. Crippa, T. Cortopassi, R. D'Ambrosio, S. Spirito, A priori error estimates for the θ-method for the flow of nonsmooth velocity fields, accepted for publication on SIAM J. Numer. Anal.
97. R. D'Ambrosio, F. V. Difonzo, Stochastic KdV equation with multiplicative noise: 𝜀-expansion and numerical conservation aspects, accepted for publication on Appl. Numer. Math.Â
96. D. Breda, D. Conte, R. D'Ambrosio, I. Santaniello, M. Tanveer, Sparse identification of nonlinear dynamics for stochastic delay differential equations, J. Comput. Appl. Math. 479, article number 117247 (2026). pdf
95. R. D'Ambrosio, H. Biščević, Time integration of dissipative stochastic PDEs, Appl. Numer. Math. 222, 1-16 (2026). pdfÂ
94. R. D'Ambrosio, H. Biščević, S. Di Giovacchino, Contractivity of stochastic  θ-methods under non-global Lipschitz conditions, Appl. Math. Comput. 505, article number 129527 (2025). pdfÂ
93. R. D'Ambrosio, S. Di Giovacchino, Strong backward error analysis of symplectic integrators for stochastic Hamiltonian systems, Appl. Math. Comput. 467, article number 128488 (2024). pdf
92. R. D'Ambrosio, H. de la Cruz, C. Scalone, A Magnus-based integrator for Brownian parametric semi-linear oscillators, Appl. Math. Comput. 472, article number 128610 (2024). pdf
91. A. Moradi, R. D'Ambrosio, Random periodic solutions of SDEs: existence, uniqueness and numerical issues, Comm. Nonlin. Sci. Numer. Simul 128, article number 107586 (2024). pdf
90. A. Moradi, J. Chouchoulis, R. D'Ambrosio, J. Schutz, Jacobian-Free Explicit Multiderivative General Linear Methods for Hyperbolic Conservation Laws, Numer. Algorithms 97, 1823–1858, (2024). link
89. 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.  32(4), 1427–1439 (2024). linkÂ
88. R. D'Ambrosio, S. Di Giovacchino, Long-term analysis of stochastic Hamiltonian systems under time discretizations, SIAM J. Sci. Comput. 45(2), A257-A288 (2023). pdf
87. R. D’Ambrosio, S. Di Giovacchino, Numerical conservation issues for the stochastic Korteweg-de Vries equation, J. Comput. Appl. Math. 424, article number 114967 (2023). pdf
86. R. D’Ambrosio, S. Di Giovacchino, G. Giordano, B. Paternoster, On the conservative character of discretizations to Itô-Hamiltonian systems with small noise, Appl. Math. Lett. 138, article number 108529 (2023). pdf
85. 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
84. R. D’Ambrosio, S. Di Giovacchino, How do Monte Carlo estimates affect stochastic geometric numerical integration?, Int. J. Comput. Math. 100(1), 192-208 (2023). linkÂ
83. R. D’Ambrosio, A. Moradi, C. Scalone, A long term analysis of stochastic theta methods for mean reverting linear process with jumps, Appl. Numer. Math. 185, 516-529 (2023). pdfÂ
82. R. D’Ambrosio, N. Guglielmi, C. Scalone, Destabilising nonnormal stochastic differential equations, Discrete Continuous Dyn. Syst. Ser. B 28(3), 1632-1642 (2023). pdf
81. A. Moradi, R. D'Ambrosio, B. Paternoster, Variable stepsize multivalue collocation methods, Appl. Numer. Math. 190, 1-14 (2023). pdfÂ
80. R. D’Ambrosio, Book review: “B-Series: Algebraic Analysis of Numerical Methods” by John C. Butcher, European Mathematical Society Magazine 124, 63-64 (2022). pdf
79. R. D’Ambrosio, S. Di Giovacchino, Numerical preservation issues in stochastic dynamical systems by θ-methods, J. Comput. Dyn. 9(2), 123-131 (2022). pdf
78. A. Abdi, D. Conte, R. D'Ambrosio, B. Paternoster, Multivalue second derivative collocation methods, Appl. Numer. Math. 182, 344-355 (2022). pdfÂ
77. A. Cardone, D. Conte, R. D'Ambrosio, B. Paternoster, Multivalue Collocation Methods for Ordinary and Fractional Differential Equations, Mathematics 10(2), 185 (2022). pdf
76. E. Buckwar, R. D’Ambrosio, Exponential mean-square stability properties of stochastic linear multistep methods, Adv. Comput. Math. 47, article number 55 (2021). link and corrigendumÂ
75. R. D’Ambrosio, G. Giordano, S. Mottola, B. Paternoster, Stiffness Analysis to Predict the Spread Out of Fake Information, Future Internet 13(9), article number 222 (2021). pdf
74. R. D'Ambrosio, C. Scalone, Filon quadrature for stochastic oscillators driven by time-varying forces, Appl. Numer. Math. 169, 21-31 (2021). pdf
73. M.A. Budroni, G. Pagano, D. Conte, B. Paternoster, R. D'Ambrosio, S. Ristori, A. 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
72. R. D'Ambrosio, M. Moccaldi, B. 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
71. D. Conte, R. D'Ambrosio, M.P. D'Arienzo, B. Paternoster, Multivalue mixed collocation methods, Appl. Math. Comp. 409, article number 126346 (2021). pdf
70. R. D'Ambrosio, G. Giordano, B. Paternoster, A. Ventola, Perturbative analysis of stochastic Hamiltonian problems under time discretizations, Appl. Math. Lett. 409, article number 107223 (2021). pdf
69. R. D'Ambrosio, S. Di Giovacchino, Mean-square contractivity of stochastic theta-methods, Comm. Nonlin. Sci. Numer. Simul. 96, article number 105671 (2021). pdf
68. R. D'Ambrosio, S. Di Giovacchino, Nonlinear stability issues for stochastic Runge-Kutta methods, Comm. Nonlin. Sci. Numer. Simul. 94, article number 105549 (2021). pdf
67. D. Conte, R. D'Ambrosio, B. Paternoster, Improved theta-methods for stochastic Volterra integral equations, Comm. Nonlin. Sci. Numer. Simul. 93, article number 105528 (2021). pdf
66. R. D'Ambrosio, B. Paternoster, Multivalue collocation methods free from order reduction, J. Comput. Appl. Math. 387, article number 112515 (2021). pdf
65. R. D’Ambrosio, C. Scalone, Two-step Runge-Kutta methods for stochastic differential equations, Appl. Math. Comput. 403, article number 125930 (2021). pdf
64. R. D'Ambrosio, C. Scalone, On the numerical structure preservation of nonlinear damped stochastic oscillators, Numer. Algorithms 86(3), 933-952 (2021). pdf
63. C. Chen, D. Cohen, R. D'Ambrosio, A. Lang, Drift-preserving numerical integrators for stochastic Hamiltonian systems, Adv. Comput. Math. 46, art. no.:27 (2020). pdf
62. V. Citro, R. D'Ambrosio, Nearly conservative multivalue methods with extended bounded parasitism, Appl. Numer Math. 152, 221-230 (2020). pdf
61. D. Conte, R. D'Ambrosio, G. Pagano, B. Paternoster, Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems, Comput. Appl. Math. 39(3), 171 (2020). pdf
60. V. Citro, R. D'Ambrosio, S. Di Giovacchino, A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations, Appl. Math. Lett. 102, 106098 (2020). pdf
59. V. Citro, R. D'Ambrosio, Long-term analysis of stochastic theta-methods for damped stochastic oscillators, Appl. Numer Math. 150, 18-26 (2020). pdf
58. D. Conte, R. D'Ambrosio, M.P. D'Arienzo, B. Paternoster, One-point spectrum Nordsieck almost collocation methods, Int. J. Circ. Sys. Sign. Proc. 14, 266-275 (2020). pdf
57. A. Cardone, R. D’Ambrosio, B. Paternoster, A spectral method for stochastic fractional differential equations, Applied Numerical Mathematics 139, 115–119 (2019). pdf
56. A. Bazzani, R. D’Ambrosio, P. Freguglia, E. Venturino, M. Del Gallo, C. Ercole, F. Matteucci, A dynamical model for sympatric speciation in an ecological niche, Theor. Biol. Forum 112(1-2), 13-20 (2019). link
55. D. Conte, R. D'Ambrosio, M. Moccaldi B. Paternoster, Adapted explicit two-step peer methods, J. Numer. Math. 27(2), 69-83 (2019). pdf
54. R. D'Ambrosio, M. Moccaldi, B. Paternoster, Adapted IMEX Numerical Methods for Reaction-Diffusion Problems, Int. J. Circ. Sys. Sign. Proc. 13, 507-515 (2019). pdf
53. A. Cardone, D. Conte, R. D’Ambrosio, B. Paternoster, Stability Issues for Selected Stochastic Evolutionary Problems: A Review, Axioms 7(4), 91 (2018). pdf
52. A. Cardone, D. Conte, R. D’Ambrosio, B. Paternoster, Collocation Methods for Volterra Integral and Integro-Differential Equations: A Review, Axioms 7(3), 45 (2018). pdf
51. R. D’Ambrosio, M. Moccaldi, B. Paternoster, F. Rossi, Adapted numerical modelling of the Belousov-Zhabotinsky reaction, Journal of Mathematical Chemistry 56(10), 2867-2897 (2018). pdf
50. R. D'Ambrosio, M. Moccaldi, B. Paternoster, Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems, Comput. Phys. Commun. 226, 55-66 (2018). pdf
49. D. Conte, R. D'Ambrosio, B. Paternoster, On the stability of theta-methods for stochastic Volterra integral equations, Discr. Cont. Dyn. Sys. - B 23(7), 2695-2708 (2018). pdf
48. R. D'Ambrosio, M. Moccaldi, B. Paternoster, Numerical preservation of long-term dynamics by stochastic two-step methods, Discr. Cont. Dyn. Sys. - B 23(7), 2763-2773 (2018). pdf
47. A. Cardone, D. Conte, R. D'Ambrosio, B. Paternoster, On Quadrature Formulas for Oscillatory Evolutionary Problems, Int. J. Circ. Sys. Sign. Proc. 12, 58-64 (2018). pdf
46. J.C. Butcher, R. D'Ambrosio, Partitioned general linear methods for separable Hamiltonian problems, Appl. Numer. Math. 117, 69-86 (2017). pdf
45. K. Burrage, A. Cardone, R. D'Ambrosio, B. Paternoster, Numerical solution of time fractional diffusion systems, Appl. Numer. Math. 116, 82-94 (2017). pdf
44. A. Cardone, R. D'Ambrosio, B. Paternoster, Exponentially fitted IMEX methods for advection-diffusion problems, J. Comput. Appl. Math. 316, 100-108 (2017). pdf
43. A. Cardone, R. D'Ambrosio, B. Paternoster, High order exponentially fitted methods for Volterra integral equations with periodic solution, Appl. Numer. Math. 114C, 18-29 (2017).pdf
42. R. D'Ambrosio, M. Moccaldi, B. Paternoster, Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts, Comput. Math. Appl. 74(5), 1029-1042 (2017). pdf
41. A. Cardone, D. Conte, R. D'Ambrosio, B. Paternoster, Stability issues in multivalue numerical methods for ordinary differential equations, Int. J. Circ. Sys. Sign. Proc. 11, 433-444 (2017). pdf
40. A. Cardone, D. Conte, R. D'Ambrosio, B. Paternoster, Multivalue Approximation of Second Order Differential Problems: a Review, Int. J. Circ. Sys. Sign. Proc. 11, 319-327 (2017). pdf
39. R. D'Ambrosio, B. 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
38. R. D'Ambrosio, B. 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
37. A. Cardone, D. Conte, R. D'Ambrosio, B. Paternoster, Modified collocation techniques for evolutionary problems, Int. J. Math. Models Methods Appl. Sci. 10, 266-273 (2016). pdf
36. R. D'Ambrosio, G. De Martino, B. Paternoster. General Nystrom methods in Nordsieck form: error analysis, J. Comput. Appl. Math. 292, 694-702 (2016). pdf
35. D. Conte, R. D'Ambrosio, B. Paternoster, GPU acceleration of waveform relaxation methods for large differential systems, Numer. Algorithms 71(2), 293-310 (2016). pdf
34. A. Cardone, D. Conte, R. D'Ambrosio, B. Paternoster, Adapted numerical methods for oscillatory evolutionary problems, Int. J. Mech. 10, 266-273 (2016). pdf
33. R. D'Ambrosio, B. Paternoster, A general framework for numerical methods solving second order differential problems, Math. Comput. Simul. 110(1), 113-124 (2015). pdf
32. R. D'Ambrosio, G. De Martino, B. Paternoster, A symmetric nearly preserving general linear method for Hamiltonian problems, Discrete Contin. Dyn. Syst., 330-339 (2015). pdf
31. R. D'Ambrosio, Ernst Hairer, Long-term stability of multi-value methods for ordinary differential equations, J. Sci. Comput. 60(3), 627-640 (2014). pdf
30. R. D'Ambrosio, G. De Martino, B. Paternoster, Numerical integration of Hamiltonian problems by G-symplectic methods, Adv. Comput. Math. 40(2), 553-575 (2014). pdf
29. R. D'Ambrosio, B. Paternoster, Exponentially fitted singly diagonally implicit Runge-Kutta methods, J. Comput. Appl. Math. 263, 277-287 (2014). pdf
28. R. D'Ambrosio, G. De Martino, B. Paternoster, Order conditions of general Nystrom methods, Numer. Algorithms 65(3), 579-595 (2014). pdf
27. R. D'Ambrosio, B. Paternoster, G. Santomauro, Revised exponentially fitted Runge-Kutta-Nystrom methods, Appl. Math. Lett. 30, 56-60 (2014). pdf
26. R. D'Ambrosio, B. Paternoster, P-stable general Nystrom methods for y''=f(x,y), J. Comput. Appl. Math. 262, 271-280 (2014). pdf
25. D. Conte, R. D'Ambrosio, G. Izzo, Z. Jackiewicz, Natural Volterra Runge-Kutta methods, Numer. Algorithms 65(3), 421-445 (2014). pdf
24. R. D'Ambrosio, B. Paternoster, Numerical solution of a diffusion problem by exponentially fitted finite difference methods, Springer Plus 3(1), 425-431 (2014). pdf
23. R. 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
22. D. Conte, R. D'Ambrosio, Z. Jackiewicz, B. Paternoster, Numerical search for algebrically stable two-step continuous Runge-Kutta methods, J. Comput. Appl. Math. 239, 304-321 (2013). pdf
21. M. Bras, A. Cardone, R. D'Ambrosio, Implementation of explicit Nordsieck methods with inherent quadratic stability, Math. Model. Anal. 18(2), 289-307 (2013). pdf
20. R. D'Ambrosio, G. De Martino, B. 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
19. R. D'Ambrosio, E. Esposito, B. Paternoster, Parameter estimation in two-step hybrid methods for second order ordinary differential equations, J. Math. Chem. 50(1), 155-168 (2012). pdf
18. D. Conte, R. D'Ambrosio, Z. Jackiewicz, B. Paternoster, A pratical approach for the derivation of algebraically stable two-step Runge-Kutta methods, Math. Model. Anal. 17(1), 65-77 (2012). pdf
17. R. D'Ambrosio, G. Izzo, Z. Jackiewicz, Search for highly stable two-step Runge-Kutta methods for ODEs, Appl. Numer. Math. 62(10), 1361-1379 (2012). pdf
16. D. Conte, R. D'Ambrosio, B. Paternoster, Two-step diagonally-implicit collocation-based methods for Volterra Integral Equations, Appl. Numer. Math. 62(10), 1312-1324 (2012). pdf
15. R. D'Ambrosio, B. Paternoster, Two-step modified collocation methods with structured coefficients matrix for Ordinary Differential Equations, Appl. Numer. Math. 62(10), 1325-1334 (2012). pdf
14. R. D'Ambrosio, E. Esposito, B. Paternoster, Exponentially fitted two-step Runge-Kutta methods: Construction and parameter selection, Appl. Math. Comp. 218(14), 7468-7480 (2012). pdf
13. R. D'Ambrosio, E. Esposito, B. Paternoster, General linear methods for y''=f(y(t)), Numer. Algorithms 61(2), 331-349 (2012). pdf
12. R. 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
11. R. D'Ambrosio, G. Izzo, Z. Jackiewicz, Perturbed MEBDF methods, Comput. Math. Appl. 63(4), 851-861 (2012). pdf
10. R. D'Ambrosio, Metodi numerici altamente stabili per equazioni funzionali, La Matematica nella SocietĂ e nella Cultura, Serie I, Vol. IV, p. 43-46 (2011). pdf
9. R. D'Ambrosio, L. Gr. Ixaru, B. Paternoster, Construction of the EF-based Runge-Kutta methods revisited, Comput. Phys. Commun. 182, 322-329 (2011). pdf
8. R. D'Ambrosio, E. Esposito, B. Paternoster, Exponentially fitted two-step hybrid for $y''=f(x,y)$, J. Comput. Appl. Math. 235, 4888-4897 (2011). pdf
7. R. D'Ambrosio, Z. Jackiewicz, Construction and implementation of highly stable two-step continuous methods for stiff differential systems, Math. Comput. Simul. 81(9), 1707-1728 (2011). pdf
6. R. D'Ambrosio, M. Ferro, B. Paternoster, Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations, Math. Comput. Simul. 81, 1068-1084 (2011). pdf
5. D. Conte, R. D'Ambrosio, B. Paternoster, Construction of diagonally implicit almost collocation methods for Volterra Integral Equations, Rivista di Matematica dell'UniversitĂ di Parma 2, 125-146 (2011). pdf
4. D. Conte, R. D'Ambrosio, Z. Jackiewicz, Two-step Runge-Kutta methods with quadratic stability functions, J. Sci. Comput. 2, 191-218 (2010). pdf
3. R. D'Ambrosio, M. Ferro, Z. Jackiewicz, B. Paternoster, Two step almost collocations methods for Ordinary Differential Equations, Numer. Algorithms 53(2-3), 195-217 (2010). pdf
2. R. D'Ambrosio, Z. Jackiewicz, Continuous Two-Step Runge-Kutta Methods for Ordinary Differential Equations, Numer. Algorithms 54(2), p. 169-193 (2010). pdf
1. R. D'Ambrosio, M. Ferro, B. Paternoster, Two-Step Hybrid Collocation Methods for y''=f(x,y), Appl. Math. Lett. 22(7), 1076-1080 (2009). pdf