publicaciones seleccionadas

• artículo académico

  • A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs’ free energy for a nonlinear combustion equation 2024
  • Un modelo fraccionario para el análisis de setas comestibles: Análisis y simulación usando el esquema L1 2024
  • Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion.  Applied Numerical Mathematics.  183:355-368. 2023
  • CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross–Pitaevskii system.  Journal of Mathematical Chemistry.  60:1272-1286. 2022
  • Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross–Pitaevskii system.  Journal of Computational and Applied Mathematics.  404. 2022
  • A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate.  Mathematics.  2021
  • A mass-and energy-conserving numerical model for a fractional Gross–Pitaevskii system in multiple dimensions.  Mathematics.  9. 2021
  • An efficient discrete model to approximate the solutions of a nonlinear double-fractional two-component gross–Pitaevskii-Type System.  Mathematics.  2021
  • On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy.  Journal of Computational and Applied Mathematics.  354:612-622. 2019

• documento de conferencia

  • A dissipation preserving method to solve a fractional generalization of a nonlinear combustion equation

• tesis

  • Dissipation-preserving methods for multidimensional nonlinear damped wave equations of fractional order.  Universidad Autónoma de Aguascalientes. Ed. Universidad Autónoma de , Aguascalientes.  2019