Serna-Reyes, Adán J.; Macías-Díaz, J. E.; Reguera-López, Nuria Analysis of a scheme which preserves the dissipation and positivity of Gibbs’ energy for a nonlinear parabolic equation with variable diffusion. (English) Zbl 1498.65139 Appl. Numer. Math. 183, 355-368 (2023). MSC: 65M06 65N06 65M12 65M15 35B09 35B65 35K55 PDFBibTeX XMLCite \textit{A. J. Serna-Reyes} et al., Appl. Numer. Math. 183, 355--368 (2023; Zbl 1498.65139) Full Text: DOI
Macías-Díaz, J. E.; Vargas-Rodríguez, Héctor Analysis and simulation of numerical schemes for nonlinear hyperbolic predator-prey models with spatial diffusion. (English) Zbl 1481.65147 J. Comput. Appl. Math. 404, Article ID 113636, 16 p. (2022). MSC: 65M06 65M22 65M12 35K55 92D25 35Q92 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{H. Vargas-Rodríguez}, J. Comput. Appl. Math. 404, Article ID 113636, 16 p. (2022; Zbl 1481.65147) Full Text: DOI
Macías-Díaz, J. E.; Hendy, A. S. Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: theoretical analysis and pattern formation. (English) Zbl 1453.65274 J. Comput. Phys. 397, Article ID 108863, 21 p. (2019). MSC: 65M12 65M06 35R11 35L70 35L75 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{A. S. Hendy}, J. Comput. Phys. 397, Article ID 108863, 21 p. (2019; Zbl 1453.65274) Full Text: DOI
Macías-Díaz, J. E.; Jerez-Galiano, S.; Puri, A. Positivity-preserving methods for a linearised Fisher-KPP equation with consistency properties in the energy domain. (English) Zbl 1188.65121 J. Difference Equ. Appl. 16, No. 4, 389-405 (2010). MSC: 65M06 35L70 35Q92 92D25 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} et al., J. Difference Equ. Appl. 16, No. 4, 389--405 (2010; Zbl 1188.65121) Full Text: DOI