211 citations · 225 across the 7 of their papers we have counts for
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math.NA2021★ 3 cited
Data-driven method to learn the most probable transition pathway and stochastic differential equations
Jianyu Hu, Dongfang Li, Jinqiao Duan +1
Transition phenomena between metastable states play an important role in complex systems due to noisy fluctuations. In this paper, the physics informed neural networks (PINNs) are…
math.NA2021★ 1 cited
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations
Waixiang Cao, Dongfang Li, Zhimin Zhang
In this paper, we present and analyze an energy-conserving and linearly implicit scheme for solving the nonlinear wave equations. Optimal error estimates in time and superconvergen…
math.NA2021★ 4 cited
Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations
Dongfang Li, Hongyu Qin, Jiwei Zhang
An essential feature of the subdiffusion equations with the -order time fractional derivative is the weak singularity at the initial time. The weak regularity of the solution is…