1 citations · 2 across the 2 of their papers we have counts for
4 papers · 1 filter
Learning Ecological and Epidemic Processes using Neural ODEs, Kolmogorov-Arnold Network ODEs and SINDy
Maria Vasilyeva, Zheng Wei, Kelum Gajamannage +3
We consider epidemic and ecological models to investigate their coupled dynamics. Starting with the classical Susceptible-Infected-Recovered (SIR) model for basic epidemic behavior…
Numerical investigation and factor analysis of the spatial-temporal multi-species competition problem
Maria Vasilyeva, Youwen Wang, Sergei Stepanov +1
In this work, we consider the spatial-temporal multi-species competition model. A mathematical model is described by a coupled system of nonlinear diffusion-reaction equations. We…
Space-Time Nonlinear Upscaling Framework Using Non-local Multi-continuum Approach
Wing T. Leung, Eric T. Chung, Yalchin Efendiev +2
In this paper, we develop a space-time upscaling framework that can be used for many challenging porous media applications without scale separation and high contrast. Our main focu…
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques
Maria Vasilyeva, Wing T. Leung, Eric T. Chung +2
In this work, we present a novel nonlocal nonlinear coarse grid approximation using a machine learning algorithm. We consider unsaturated and two-phase flow problems in heterogeneo…