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A selective review of modern stochastic modeling: SDE/SPDE numerics, data-driven identification, and generative methods with applications in biomathematics
Yassine Sabbar and Kottakkaran Sooppy Nisar Transactions on Computational Modeling and Intelligent Systems 2 10028 (2026) https://doi.org/10.65112/tcmis.10028
Full- and Low-Rank Exponential Euler Integrators for the Lindblad Equation
Hao Chen, Alfio Borzì, Denis Janković, Jean-Gabriel Hartmann and Paul-Antoine Hervieux SIAM Journal on Scientific Computing 48(1) A1 (2026) https://doi.org/10.1137/24M1690795
Adapted numerical modeling for fake news diffusion on social networks
Dajana Conte, Samira Iscaro, Giovanni Pagano and Beatrice Paternoster Journal of Computational and Applied Mathematics 477 117196 (2026) https://doi.org/10.1016/j.cam.2025.117196
Analysis of a Finite‐Difference Method Based on Nonlocal Approximations for a Nonlinear, Extended Three‐Compartmental Model of Ethanol Metabolism in the Human Body
Dynamics of Activation and Regulation of the Immune Response to Attack by Viral Pathogens Using Mathematical Modeling
Ledyz Cuesta-Herrera, Luis Pastenes, Ariel D. Arencibia, Fernando Córdova-Lepe and Cristhian Montoya Mathematics 12(17) 2681 (2024) https://doi.org/10.3390/math12172681
Dynamic survival analysis: Modelling the hazard function via ordinary differential equations
Analytical Properties and Numerical Preservation of an Age-Group Susceptible-Infected-Recovered Model: Application to the Diffusion of Information
Angelamaria Cardone, Patricia Diaz de Alba and Beatrice Paternoster Journal of Computational and Nonlinear Dynamics 19(6) (2024) https://doi.org/10.1115/1.4065437
The effect of splitting strategy on qualitative property preservation
Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions
Hong Zhang, Xu Qian, Jun Xia and Songhe Song ESAIM: Mathematical Modelling and Numerical Analysis 57(3) 1619 (2023) https://doi.org/10.1051/m2an/2023029
On the dynamics of first and second order GeCo and gBBKS schemes