719 citations · 2.3k across the 72 of their papers we have counts for
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Hybrid explicit-implicit learning for multiscale problems with time dependent source
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li +1
The splitting method is a powerful method for solving partial differential equations. Various splitting methods have been designed to separate different physics, nonlinearities, an…
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories
Yalchin Efendiev, Wing Tat Leung
In this paper, we present a general derivation of multicontinuum equations and discuss cell problems. We present constraint cell problem formulations in a representative volume ele…
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li +2
In this paper, we consider a class of convection-diffusion equations with memory effects. These equations arise as a result of homogenization or upscaling of linear transport equat…