1 citations · 2 across the 9 of their papers we have counts for
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On a Modified Random Genetic Drift Model: Derivation and a Structure-Preserving Operator-Splitting Discretization
Chi-An Chen, Chun Liu, Yiwei Wang
One of the fundamental mathematical models for studying random genetic drift is the Kimura equation, derived as the large-population limit of the discrete Wright-Fisher model. Howe…
On pattern formation in the thermodynamically-consistent variational Gray-Scott model
Wenrui Hao, Chun Liu, Yiwei Wang +1
In this paper, we explore pattern formation in a four-species variational Gary-Scott model, which includes all reverse reactions and introduces a virtual species to describe the bi…
On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang
In this paper, we provide a detailed theoretical analysis of the numerical scheme introduced in J. Comput. Phys. 436 (2021) 110253 for the reaction kinetics of a class of chemical…
Energetic Variational Neural Network Discretizations of Gradient Flows
Ziqing Hu, Chun Liu, Yiwei Wang +1
We present a structure-preserving Eulerian algorithm for solving -gradient flows and a structure-preserving Lagrangian algorithm for solving generalized diffusions. Both algor…