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523 results on '"D'Ambrosio, Raffaele"'

1. Strong backward error analysis of stochastic Poisson integrators

Author

D'Ambrosio, Raffaele and Di Giovacchino, Stefano

Subjects
Mathematics - Numerical Analysis
Abstract

We address our attention to the numerical time discretization of stochastic Poisson systems via Poisson integrators. The aim of the investigation regards the backward error analysis of such integrators to reveal their ability of being structure-preserving, for long times of integration. In particular, we first provide stochastic modified equations suitable for such integrators and then we rigorously study them to prove accurate estimates on the long-term numerical error along the dynamics generated by stochastic Poisson integrators, with reference to the preservation of the random Hamiltonian conserved along the exact flow of the approximating Wong-Zakai Poisson system. Finally, selected numerical experiments confirm the effectiveness of the theoretical analysis.

Published
2024

14. On the numerical solution of stochastic oscillators driven by time-varying and random forces

Author

D'Ambrosio, Raffaele and Scalone, Carmela

Subjects
Mathematics - Numerical Analysis
Abstract

In this work, we provide a specifc trigonometric stochastic numerical method for linear oscillators with high constant frequencies, driven by a nonlinear time-varying force and a random force. We present some theoretical considerations and numerical experiments on popular related physical models.

Published
2021

15. Forecasting in Shipments: Comparison of Machine Learning Regression Algorithms on Industrial Applications for Supply Chain

Author

Carissimo, Nunzio, D’Ambrosio, Raffaele, Guzzo, Milena, Labarile, Sabino, Scalone, Carmela, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Taniar, David, editor, Apduhan, Bernady O., editor, Braga, Ana Cristina, editor, Garau, Chiara, editor, and Stratigea, Anastasia, editor

Published
2023
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18. Mean-square contractivity of stochastic $\theta$-methods

Author

D'Ambrosio, Raffaele and Di Giovacchino, Stefano

Subjects
Mathematics - Numerical Analysis
Abstract

The paper is focused on the nonlinear stability analysis of stochastic $\theta$-methods. In particular, we consider nonlinear stochastic differential equations such that the mean-square deviation between two solutions exponentially decays, i.e., a mean-square contractive behaviour is visible along the stochastic dynamics. We aim to make the same property visible also along the numerical dynamics generated by stochastic $\theta$-methods: this issue is translated into sharp stepsize restrictions depending on parameters of the problem, here accurately estimated. A selection of numerical tests confirming the effectiveness of the analysis and its sharpness is also provided.

Published
2020
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19. Drift-preserving numerical integrators for stochastic Hamiltonian systems

Author

Chen, Chuchu, Cohen, David, D'Ambrosio, Raffaele, and Lang, Annika

Subjects
Mathematics - Numerical Analysis, Mathematics - Probability, 65C20. 65C30. 60H10. 60H35
Abstract

The paper deals with numerical discretizations of separable nonlinear Hamiltonian systems with additive noise. For such problems, the expected value of the total energy, along the exact solution, drifts linearly with time. We present and analyze a time integrator having the same property for all times. Furthermore, strong and weak convergence of the numerical scheme along with efficient multilevel Monte Carlo estimators are studied. Finally, extensive numerical experiments illustrate the performance of the proposed numerical scheme.

Published
2019
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22. A Modified SEIR Model: Stiffness Analysis and Application to the Diffusion of Fake News

Author

D’Ambrosio, Raffaele, Díaz de Alba, Patricia, Giordano, Giuseppe, Paternoster, Beatrice, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Hendrix, Eligius M. T., editor, Taniar, David, editor, and Apduhan, Bernady O., editor

Published
2022
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27. A PROBABILISTIC PHENOTYPE DYNAMICAL MODEL FOR SYMPATRIC SPECIATION: SOME PROPERTIES AND NUMERICAL RESULTS.

Author

BAZZANI, ARMANDO, D’AMBROSIO, RAFFAELE, FREGUGLIA, PAOLO, and VENTURINO, EZIO

Abstract

Sympatric speciation is an important phenomenon in Evolution: a population being able to express two different phenotypes gives rise to a new species without a physical separation from the original population. In this paper, we describe a model that describes the sympatric speciation process using a population dynamics approach. Our aim is to point out some dynamical features that could be observed in a population where a sympatric speciation process is going on. Some interesting stochastic effects are discussed by means of numerical simulations. [ABSTRACT FROM AUTHOR]

Published
2024
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28. Asymptotic Quadrature Based Numerical Integration of Stochastic Damped Oscillators

Author

D’Ambrosio, Raffaele, Scalone, Carmela, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Misra, Sanjay, editor, Garau, Chiara, editor, Blečić, Ivan, editor, Taniar, David, editor, Apduhan, Bernady O., editor, Rocha, Ana Maria A.C., editor, Tarantino, Eufemia, editor, and Torre, Carmelo Maria, editor

Published
2021
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29. Optimal -Methods for Mean-Square Dissipative Stochastic Differential Equations

Author

D’Ambrosio, Raffaele, Di Giovacchino, Stefano, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Misra, Sanjay, editor, Garau, Chiara, editor, Blečić, Ivan, editor, Taniar, David, editor, Apduhan, Bernady O., editor, Rocha, Ana Maria A. C., editor, Tarantino, Eufemia, editor, and Torre, Carmelo Maria, editor

Published
2021
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30. Continuous Extension of Euler-Maruyama Method for Stochastic Differential Equations

Author

Conte, Dajana, D’Ambrosio, Raffaele, Giordano, Giuseppe, Paternoster, Beatrice, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Misra, Sanjay, editor, Garau, Chiara, editor, Blečić, Ivan, editor, Taniar, David, editor, Apduhan, Bernady O., editor, Rocha, Ana Maria A. C., editor, Tarantino, Eufemia, editor, and Torre, Carmelo Maria, editor

Published
2021
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32. User-Friendly Expressions of the Coefficients of Some Exponentially Fitted Methods

Author

Conte, Dajana, D’Ambrosio, Raffaele, Giordano, Giuseppe, Ixaru, Liviu Gr., Paternoster, Beatrice, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Misra, Sanjay, editor, Garau, Chiara, editor, Blečić, Ivan, editor, Taniar, David, editor, Apduhan, Bernady O., editor, Rocha, Ana Maria A.C., editor, Tarantino, Eufemia, editor, Torre, Carmelo Maria, editor, and Karaca, Yeliz, editor

Published
2020
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33. Multivalue Almost Collocation Methods with Diagonal Coefficient Matrix

Author

Conte, Dajana, D’Ambrosio, Raffaele, D’Arienzo, Maria Pia, Paternoster, Beatrice, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Misra, Sanjay, editor, Garau, Chiara, editor, Blečić, Ivan, editor, Taniar, David, editor, Apduhan, Bernady O., editor, Rocha, Ana Maria A.C., editor, Tarantino, Eufemia, editor, Torre, Carmelo Maria, editor, and Karaca, Yeliz, editor

Published
2020
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34. Parallel Numerical Solution of a 2D Chemotaxis-Stokes System on GPUs Technology

Author

D’Ambrosio, Raffaele, Di Giovacchino, Stefano, Pera, Donato, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Krzhizhanovskaya, Valeria V., editor, Závodszky, Gábor, editor, Lees, Michael H., editor, Dongarra, Jack J., editor, Sloot, Peter M. A., editor, Brissos, Sérgio, editor, and Teixeira, João, editor

Published
2020
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46. Stochastic Numerical Models of Oscillatory Phenomena

Author

D’Ambrosio, Raffaele, Moccaldi, Martina, Paternoster, Beatrice, Rossi, Federico, Barbosa, Simone Diniz Junqueira, Series Editor, Chen, Phoebe, Series Editor, Filipe, Joaquim, Series Editor, Kotenko, Igor, Series Editor, Sivalingam, Krishna M., Series Editor, Washio, Takashi, Series Editor, Yuan, Junsong, Series Editor, Zhou, Lizhu, Series Editor, Pelillo, Marcello, editor, Poli, Irene, editor, Roli, Andrea, editor, Serra, Roberto, editor, Slanzi, Debora, editor, and Villani, Marco, editor

Published
2018
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