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math.NA2024
Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system
Yu Zhao, Zhennan Zhou
We consider a special type of fast reaction-diffusion systems in which the coefficients of the reaction terms of the two substances are much larger than those of the diffusion term…
math.NA2020
A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels
Yong Zhang, Yu Zhao, Zhennan Zhou
In this paper, we consider a nonlinear and nonlocal parabolic model for multi-species ionic fluids and introduce a semi-implicit finite volume scheme, which is second order accurat…