Publications

List of Pubblications

Journal Articles

2026

D. Conte , G. Pagano , T. Roldán. (2026). High order nonstandard finite-difference methods. Applied Mathematics and Computation, vol. 510.
DOI: 10.1016/j.amc.2025.129681

D. Conte , S. Iscaro , G. Pagano , B. Paternoster. (2026). Adapted numerical modeling for fake news diffusion on social networks. Journal of Computational and Applied Mathematics, vol. 477.
DOI: 10.1016/j.cam.2025.117196

D. Breda , D. Conte , R. D'Ambrosio , I. Santaniello , M. Tanveer. (2026). Sparse identification of nonlinear dynamics for stochastic delay differential equations. Journal of Computational and Applied Mathematics, vol. 479.
DOI: 10.1016/j.cam.2025.117247

D. Conte , R. D’Ambrosio , A. Montano , B. Paternoster. (2026). Stabilization of stochastic Runge-Kutta methods by TASE operators. Communications in Nonlinear Science and Numerical Simulation, vol. 159.
DOI: 10.1016/j.cnsns.2026.109883

G. Frasca-Caccia , D. Conte , B. Paternoster. (2026). Fast solution of a phase-field model of pitting corrosion. Journal of Computational Physics, vol. 553.
DOI: 10.1016/j.jcp.2026.114717

M. Casillo , F. Colace , D. Conte , M. Lombardi , D. Santaniello , C. Valentino. (2026). A context-aware recommender system-based framework for improving cultural experiences. User Modeling and User-Adapted Interaction, vol. 36.
DOI: 10.1007/s11257-025-09437-1

D. Conte , I. Montijano J., G. Pagano , B. Paternoster , L. Rández. (2026). General Runge–Kutta TASE Methods for Reaction–Diffusion Problems. Journal of Scientific Computing, vol. 106.
DOI: 10.1007/s10915-026-03184-0

2025

L. Aceto , D. Conte , G. Pagano. (2025). MODIFIED TASE RUNGE-KUTTA METHODS FOR INTEGRATING STIFF DIFFERENTIAL EQUATIONS. SIAM Journal on Scientific Computing, vol. 47.
DOI: 10.1137/24M1667336

R. Katani , S. Shahmorad , D. Conte. (2025). Approximate solution of multi-term fractional differential equations via a block-by-block method. Journal of Computational and Applied Mathematics, vol. 453.
DOI: 10.1016/j.cam.2024.116135

C. Valentino , G. Pagano , D. Conte , B. Paternoster , F. Colace , M. Casillo. (2025). Step-by-step time discrete Physics-Informed Neural Networks with application to a sustainability PDE model. Mathematics and Computers in Simulation, vol. 230.
DOI: 10.1016/j.matcom.2024.10.043

2024

D. Conte , L. Moradi , B. Paternoster. (2024). Exponentially fitted IMEX peer methods for an advection-diffusion problem. Computational Methods for Differential Equations, vol. 12.
DOI: 10.22034/cmde.2023.53247.2248

D. Conte , J. Martin-Vaquero , G. Pagano , B. Paternoster. (2024). STABILITY THEORY OF TASE-RUNGE-KUTTA METHODS WITH INEXACT JACOBIAN. SIAM Journal on Scientific Computing, vol. 46.
DOI: 10.1137/24M1631869

D. Conte , L. Moradi , B. Paternoster , H. Podhaisky. (2024). Collocation methods for nonlinear Volterra integral equations with oscillatory kernel. Applied Numerical Mathematics, vol. 203.
DOI: 10.1016/j.apnum.2024.05.002

D. Conte , E. Farsimadan , L. Moradi , F. Palmieri , B. Paternoster. (2024). Numerical solution of delay Volterra functional integral equations with variable bounds. Applied Numerical Mathematics, vol. 200.
DOI: 10.1016/j.apnum.2023.05.002

D. COnte , E. Cuesta , C. Valentino. (2024). Non-stationary wave relaxation methods for general linear systems of Volterra equations: convergence and parallel GPU implementation. Numerical Algorithms, vol. 95.
DOI: 10.1007/s11075-023-01567-0

D. Conte , S. González-Pinto , D. Hernández-Abreu , G. Pagano. (2024). On Approximate Matrix Factorization and TASE W-Methods for the Time Integration of Parabolic Partial Differential Equations. Journal of Scientific Computing, vol. 100.
DOI: 10.1007/s10915-024-02579-1

F. Colace , D. Conte , G. Pagano , B. Paternoster , C. Valentino. (2024). PHYSICS-INFORMED NEURAL NETWORKS FOR A LITHIUM-ION BATTERIES MODEL: A CASE OF STUDY. Advances in Computational Science and Engineering, vol. 2.
DOI: 10.3934/acse.2024018

V. Arya , W. Attar R., A. Alhomoud , M. Casillo , F. Colace , D. Conte , M. Lombardi , D. Santaniello , C. Valentino. (2024). FANE: A FAke NEws Detector Based on Syntactic, Semantic, and Social Features Bayesian Analysis. International Journal on Semantic Web and Information Systems, vol. 20.
DOI: 10.4018/IJSWIS.360785

L. Aceto , D. Conte , G. Pagano. (2024). On a generalization of time-accurate and highly-stable explicit operators for stiff problems. Applied Numerical Mathematics, vol. 200.
DOI: 10.1016/j.apnum.2023.04.001

2023

D. Conte , G. Frasca-Caccia. (2023). Exponentially fitted methods with a local energy conservation law. Advances in Computational Mathematics, vol. 49.
DOI: 10.1007/s10444-023-10049-9

D. Conte , G. Pagano , B. Paternoster. (2023). Nonstandard finite differences numerical methods for a vegetation reaction–diffusion model. Journal of Computational and Applied Mathematics, vol. 419.
DOI: 10.1016/j.cam.2022.114790

M. Casillo , F. Colace , D. Conte , M. Lombardi , D. Santaniello , C. Valentino. (2023). Context-aware recommender systems and cultural heritage: a survey. Journal of Ambient Intelligence and Humanized Computing, vol. 14.
DOI: 10.1007/s12652-021-03438-9

D. Conte , L. Moradi , B. Paternoster. (2023). Frequency evaluation for adapted peer methods. Computational and Applied Mathematics, vol. 42.
DOI: 10.1007/s40314-023-02223-y

D. Conte , G. Pagano , B. Paternoster. (2023). Time-accurate and highly-stable explicit peer methods for stiff differential problems. Communications in Nonlinear Science and Numerical Simulation, vol. 119.
DOI: 10.1016/j.cnsns.2023.107136

M. Castiello , D. Conte , S. Iscaro. (2023). Using Epidemiological Models to Predict the Spread of Information on Twitter. Algorithms, vol. 16.
DOI: 10.3390/a16080391

G. Frasca-Caccia , C. Valentino , F. Colace , D. Conte. (2023). An overview of differential models for corrosion of cultural heritage artefacts. Mathematical Modelling of Natural Phenomena, vol. 18.
DOI: 10.1051/mmnp/2023031

2022

A. Cardone , D. Conte , B. Paternoster. (2022). Stability of two-step spline collocation methods for initial value problems for fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, vol. 115.
DOI: 10.1016/j.cnsns.2022.106726

D. Conte , G. Frasca-Caccia. (2022). A MATLAB code for the computational solution of a phase field model for pitting corrosion. Dolomites Research Notes on Approximation, vol. 15.
DOI: 10.14658/pupj-drna-2022-2-5

D. Conte , G. Pagano , B. Paternoster. (2022). Two classes of linearly implicit numerical methods for stiff problems: analysis and MATLAB software. Dolomites Research Notes on Approximation, vol. 15.
DOI: 10.14658/pupj-drna-2022-2-6

D. Conte , N. Guarino , G. Pagano , B. Paternoster. (2022). Positivity-preserving and elementary stable nonstandard method for a COVID-19 SIR model. Dolomites Research Notes on Approximation, vol. 15.
DOI: 10.14658/pupj-drna-2022-5-7

F. Colace , D. Conte , M. De Santo , M. Lombardi , D. Santaniello , C. Valentino. (2022). A content-based recommendation approach based on singular value decomposition. Connection Science, vol. 34.
DOI: 10.1080/09540091.2022.2106943

A. Cardone , D. Conte , R. D’ambrosio , B. Paternoster. (2022). Multivalue Collocation Methods for Ordinary and Fractional Differential Equations. Mathematics, vol. 10.
DOI: 10.3390/math10020185

D. Conte , N. Guarino , G. Pagano , B. Paternoster. (2022). On the Advantages of Nonstandard Finite Difference Discretizations for Differential Problems. Numerical Analysis and Applications, vol. 15.
DOI: 10.1134/S1995423922030041

A. Abdi , D. Conte , R. D'Ambrosio , B. Paternoster. (2022). Multivalue second derivative collocation methods. Applied Numerical Mathematics, vol. 182.
DOI: 10.1016/j.apnum.2022.08.011

D. Conte , G. Frasca-Caccia. (2022). Exponentially fitted methods that preserve conservation laws. Communications in Nonlinear Science and Numerical Simulation, vol. 109.
DOI: 10.1016/j.cnsns.2022.106334

D. Conte , G. Pagano , B. Paternoster. (2022). Two-step peer methods with equation-dependent coefficients. Computational and Applied Mathematics, vol. 41.
DOI: 10.1007/s40314-022-01844-z

F. Colace , D. Conte , M. De Santo , M. Lombardi , B. Paternoster , D. Santaniello , C. Valentino. (2022). Recommender systems: a novel approach based on singular value decomposition. International Journal of Electrical and Computer Engineering, vol. 12.
DOI: 10.11591/ijece.v12i6.pp6513-6521

2021

D. Conte , R. D'Ambrosio , B. Paternoster. (2021). Improved ϑ-methods for stochastic Volterra integral equations. Communications in Nonlinear Science and Numerical Simulation, vol. 93.
DOI: 10.1016/j.cnsns.2020.105528

D. Conte , R. D'Ambrosio , P. D'Arienzo M., B. Paternoster. (2021). Multivalue mixed collocation methods. Applied Mathematics and Computation, vol. 409.
DOI: 10.1016/j.amc.2021.126346

F. Mohammadi , L. Moradi , D. Conte. (2021). Discrete Chebyshev Polynomials for Solving Fractional Variational Problems. Statistics, Optimization and Information Computing, vol. 9.
DOI: 10.19139/soic-2310-5070-991

A. Budroni M., G. Pagano , D. Conte , B. Paternoster , R. D'Ambrosio , S. Ristori , A. Abou-Hassan , F. Rossi. (2021). Synchronization scenarios induced by delayed communication in arrays of diffusively coupled autonomous chemical oscillators. Physical Chemistry Chemical Physics, vol. 23.
DOI: 10.1039/d1cp02221k

L. Moradi , D. Conte , E. Farsimadan , F. Palmieri , B. Paternoster. (2021). Optimal control of system governed by nonlinear volterra integral and fractional derivative equations. Computational and Applied Mathematics, vol. 40.
DOI: 10.1007/s40314-021-01541-3

A. Abdi , D. Conte. (2021). Implementation of general linear methods for Volterra integral equations. Journal of Computational and Applied Mathematics, vol. 386.
DOI: 10.1016/j.cam.2020.113261

2020

A. Abdi , D. Conte. (2020). Implementation of second derivative general linear methods. Calcolo, vol. 57.
DOI: 10.1007/s10092-020-00370-w

D. Conte. (2020). Dynamical low-rank approximation to the solution of parabolic differential equations. Applied Numerical Mathematics, vol. 156.
DOI: 10.1016/j.apnum.2020.05.011

D. Conte , F. Mohammadi , L. Moradi , B. Paternoster. (2020). Exponentially fitted two-step peer methods for oscillatory problems. Computational and Applied Mathematics, vol. 39.
DOI: 10.1007/s40314-020-01202-x

A. Cardone , D. Conte. (2020). Stability analysis of spline collocation methods for fractional differential equations. Mathematics and Computers in Simulation, vol. 178.
DOI: 10.1016/j.matcom.2020.07.004

D. Conte , S. Shahmorad , Y. Talaei. (2020). New fractional Lanczos vector polynomials and their application to system of Abel–Volterra integral equations and fractional differential equations. Journal of Computational and Applied Mathematics, vol. 366.
DOI: 10.1016/j.cam.2019.112409

D. Conte , R. D’ambrosio , P. D’arienzo M., B. Paternoster. (2020). One-point spectrum nordsieck almost collocation methods. International Journal of Circuits, Systems and Signal Processing, vol. 14.
DOI: 10.46300/9106.2020.14.38

D. Conte , R. D’Ambrosio , G. Pagano , B. Paternoster. (2020). Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. Computational and Applied Mathematics, vol. 39.
DOI: 10.1007/s40314-020-01200-z

2019

D. Conte , B. Paternoster , L. Moradi , F. Mohammadi. (2019). Construction of exponentially fitted explicit peer methods. International Journal of Circuits, Systems and Signal Processing, vol. 13.

D. Conte , R. D'Ambrosio , M. Moccaldi , B. Paternoster. (2019). Adapted explicit two-step peer methods. Journal of Numerical Mathematics, vol. 27.
DOI: 10.1515/jnma-2017-0102

2018

A. Cardone , D. Conte , R. D’Ambrosio , B. Paternoster. (2018). On quadrature formulas for oscillatory evolutionary problems. International Journal of Circuits, Systems and Signal Processing, vol. 12.

A. Cardone , D. Conte , R. D'Ambrosio , B. Paternoster. (2018). Collocation methods for volterra integral and integro-differential equations: A review. Axioms, vol. 7.
DOI: 10.3390/axioms7030045

A. Cardone , D. Conte , B. Paternoster. (2018). Two-step collocation methods for fractional differential equations. Discrete and Continuous Dynamical Systems - Series B, vol. 23.
DOI: 10.3934/dcdsb.2018088

A. Cardone , D. Conte , R. D'Ambrosio , B. Paternoster. (2018). Stability issues for selected stochastic evolutionary problems: A review. Axioms, vol. 7.
DOI: 10.3390/axioms7040091

D. Conte , R. D’Ambrosio , B. Paternoster. (2018). On the stability of ϑ-methods for stochastic volterra integral equations. Discrete and Continuous Dynamical Systems - Series B, vol. 23.
DOI: 10.3934/dcdsb.2018087

G. Califano , D. Conte. (2018). Optimal Schwarz waveform relaxation for fractional diffusion-wave equations. Applied Numerical Mathematics, vol. 127.
DOI: 10.1016/j.apnum.2018.01.002

2017

D. Conte , B. Paternoster. (2017). Parallel methods for weakly singular Volterra integral equations on GPUs. Applied Numerical Mathematics, vol. 114.
DOI: 10.1016/j.apnum.2016.04.006

A. Cardone , D. Conte , R. D’Ambrosio , B. Paternoster. (2017). Stability issues in multivalue numerical methods for ordinary differential equations. International Journal of Circuits, Systems and Signal Processing, vol. 11.

G. Capobianco , D. Conte , B. Paternoster. (2017). Construction and implementation of two-step continuous methods for Volterra integral equations. Applied Numerical Mathematics, vol. 119.
DOI: 10.1016/j.apnum.2017.02.008

A. Cardone , D. Conte , R. D’Ambrosio , B. Paternoster. (2017). Multivalue approximation of second order differential problems: A review. International Journal of Circuits, Systems and Signal Processing, vol. 11.

2016

D. Conte , B. Paternoster. (2016). Modified Gauss–Laguerre Exponential Fitting Based Formulae. Journal of Scientific Computing, vol. 69.
DOI: 10.1007/s10915-016-0190-0

D. Conte , R. D’Ambrosio , B. Paternoster. (2016). GPU-acceleration of waveform relaxation methods for large differential systems. Numerical Algorithms, vol. 71.
DOI: 10.1007/s11075-015-9993-6

A. Cardone , D. Conte , R. D'Ambrosio , B. Paternoster. (2016). Modified collocation techniques for evolutionary problems. International Journal of Mathematical Models and Methods in Applied Sciences, vol. 10.

A. Cardone , D. Conte , R. D’Ambrosio , B. Paternoster. (2016). Adapted numerical methods for oscillatory evolutionary problems. International Journal of Mechanics, vol. 10.