42 citations · 51 across the 5 of their papers we have counts for
5 papers
Learning Hidden Ecological and Epidemic Processes in a Reduced-Order Space
Maria Vasilyeva, Zheng Wei, Kelum Gajamannage +3
We study data-driven learning of ecological and epidemic dynamics governed by nonlinear reaction and reaction--diffusion systems. We consider both neural approaches for learning th…
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…
Machine learning for accelerating effective property prediction for poroelasticity problem in stochastic media
Maria Vasilyeva, Aleksey Tyrylgin
In this paper, we consider a numerical homogenization of the poroelasticity problem with stochastic properties. The proposed method based on the construction of the deep neural net…