Nonstandard discrete approximationspreserving stability properties of continuous mathematical models. - Francisco Javier Solís; Benito M. Chen-Charpentier (Math. Comput. Model., 2004)

Chaos in the one-dimensional wave equation. - Francisco J. Solis; Lucas Jódar; Benito Chen (Appl. Math. Lett., 2005)

Combined nonstandard numerical methods for ODEs with polynomial right-hand sides. - Benito M. Chen-Charpentier; Dobromir T. Dimitrov; Hristo V. Kojouharov (Math. Comput. Simul., 2006)

Constructing accurate polynomial approximations for nonlinear differential initial value problems. - Benito Chen; Rafael Company; Lucas Jódar; M. D. Roselló (Appl. Math. Comput., 2007)

Mathematical modeling of bioremediation of trichloroethylene in aquifers. - Benito M. Chen-Charpentier; Hristo V. Kojouharov (Comput. Math. Appl., 2008)

Dynamical analysis of the transmission of seasonal diseases using the differential transformation method. - Abraham J. Arenas; Gilberto González-Parra; Benito M. Chen-Charpentier (Math. Comput. Model., 2009)

Random coefficient differential equation models for bacterial growth. - Dan Stanescu; Benito M. Chen-Charpentier (Math. Comput. Model., 2009)

Numerical simulation of multi-species biofilms in porous media for different kinetics. - Benito M. Chen-Charpentier; Dobromir T. Dimitrov; Hristo V. Kojouharov (Math. Comput. Simul., 2009)

A nonstandard numerical scheme of predictor-corrector type for epidemic models. - Abraham J. Arenas; Gilberto González-Parra; Benito M. Chen-Charpentier (Comput. Math. Appl., 2010)

Epidemic models with random coefficients. - Benito M. Chen-Charpentier; Dan Stanescu (Math. Comput. Model., 2010)

Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models. - Gilberto González-Parra; Abraham J. Arenas; Benito M. Chen-Charpentier (Math. Comput. Model., 2010)

Polynomial approximation of nonlinear differential systems with prefixed accuracy. - Benito M. Chen-Charpentier; Lucas Jódar; Aleksey S. Telyakovskiy (Appl. Math. Comput., 2011)

Biofilm growth on medical implants with randomness. - Benito M. Chen-Charpentier; Dan Stanescu (Math. Comput. Model., 2011)

A random differential transform method: Theory and applications. - L. Villafuerte 001; Benito M. Chen-Charpentier (Appl. Math. Lett., 2012)

Discrete and continuous approaches to modeling cell movement in the presence of a foreign stimulus. - Alicia Prieto-Langarica; Hristo V. Kojouharov; Benito M. Chen-Charpentier (Comput. Math. Appl., 2012)

Uncertainty Quantification in Simulations of Epidemics Using Polynomial Chaos. - Francisco-José Santonja; Benito M. Chen-Charpentier (Comput. Math. Methods Medicine, 2012)

Some recommendations for applying gPC (generalized polynomial chaos) to modeling: An analysis through the Airy random differential equation. - Benito M. Chen-Charpentier; J. C. Cortés; José Vicente Romero; María Dolores Roselló (Appl. Math. Comput., 2013)

Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations? - Benito M. Chen-Charpentier; Juan Carlos Cortés; José Vicente Romero; María Dolores Roselló (Appl. Math. Lett., 2013)

Upscaling from discrete to continuous mathematical models of two interacting populations. - Alicia Prieto-Langarica; Hristo V. Kojouharov; Benito M. Chen-Charpentier (Comput. Math. Appl., 2013)

Analytic and numerical solutions of a Riccati differential equation with random coefficients. - J. A. Licea; L. Villafuerte 001; Benito M. Chen-Charpentier (J. Comput. Appl. Math., 2013)

An unconditionally positivity preserving scheme for advection-diffusion reaction equations. - Benito M. Chen-Charpentier; Hristo V. Kojouharov (Math. Comput. Model., 2013)

Virus propagation with randomness. - Benito M. Chen-Charpentier; Dan Stanescu (Math. Comput. Model., 2013)

Polynomial Chaos for random fractional order differential equations. - Gilberto González-Parra; Benito M. Chen-Charpentier; Abraham J. Arenas (Appl. Math. Comput., 2014)

Parameter estimation using polynomial chaos and maximum likelihood. - Benito M. Chen-Charpentier; Dan Stanescu (Int. J. Comput. Math., 2014)

Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: A computational approach. - Benito M. Chen-Charpentier; Juan Carlos Cortés; J. A. Licea; José Vicente Romero; María Dolores Roselló; Francisco-José Santonja; Rafael J. Villanueva (Math. Comput. Simul., 2015)

A classification of slow convergence near parametric periodic points of discrete dynamical systems. - Francisco J. Solis; Benito M. Chen-Charpentier; Hristo V. Kojouharov (Int. J. Comput. Math., 2016)

A mathematical model of bone remodeling with delays. - Benito M. Chen-Charpentier; Ibrahim Diakite (J. Comput. Appl. Math., 2016)

Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order. - Abraham J. Arenas; Gilberto González-Parra; Benito M. Chen-Charpentier (Math. Comput. Simul., 2016)

Modeling plant virus propagation with delays. - Mark Jackson; Benito M. Chen-Charpentier (J. Comput. Appl. Math., 2017)

Effects of the obesity on optimal control schedules of chemotherapy on a cancerous tumor. - Roberto A. Ku-Carrillo; Sandra E. Delgadillo-Aleman; Benito M. Chen-Charpentier (J. Comput. Appl. Math., 2017)

A model of biological control of plant virus propagation with delays. - Mark Jackson; Benito M. Chen-Charpentier (J. Comput. Appl. Math., 2018)

Modeling plant virus propagation with seasonality. - Mark Jackson; Benito M. Chen-Charpentier (J. Comput. Appl. Math., 2019)

Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models. - Julia Calatayud Gregori; Benito M. Chen-Charpentier; Juan Carlos Cortés; Marc Jornet-Sanz (Symmetry, 2019)

Direct and indirect optimal control applied to plant virus propagation with seasonality and delays. - Benito M. Chen-Charpentier; Mark Jackson (J. Comput. Appl. Math., 2020)

Mathematical modeling of toxoplasmosis with multiple hosts, vertical transmission and cat vaccination. - Gilberto González-Parra; Abraham J. Arenas; Benito M. Chen-Charpentier; Sharmin Sultana (Comput. Appl. Math., 2023)

On Population Models with Delays and Dependence on Past Values. - Benito M. Chen-Charpentier (Axioms, 2024)

Building erudition in the wound healing process: an inflammation model analysis. - A. L. Patrick; Benito M. Chen-Charpentier (Int. J. Comput. Math., 2025)