23 citations · 28 across the 6 of their papers we have counts for
6 papers
Do we need decay-preserving error estimate for solving parabolic equations with initial singularity?
Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
Solutions exhibiting weak initial singularities arise in various equations, including diffusion and subdiffusion equations. When employing the well-known L1 scheme to solve subdiff…
-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems
Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
Numerous error estimates have been carried out on various numerical schemes for subdiffusion equations. Unfortunately most error bounds suffer from a factor or ,…
A unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn-Hilliard equation on generalized SAV approach
Yifan Wei, Jiwei Zhang, Chengchao Zhao +1
An adaptive implicit-explicit (IMEX) BDF2 scheme is investigated on generalized SAV approach for the Cahn-Hilliard equation by combining with Fourier spectral method in space. It i…
Sharp error estimate of variable time-step IMEX BDF2 scheme for parabolic integro-differential equations with initial singularity arising in finance
Chengchao Zhao, Ruoyu Yang, Yana Di +1
The recently developed technique of DOC kernels has been a great success in the stability and convergence analysis for BDF2 scheme with variable time steps. However, such an analys…
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
Chengchao Zhao, Nan Liu, Yuheng Ma +1
In this paper we consider a linearized variable-time-step two-step backward differentiation formula (BDF2) scheme for solving nonlinear parabolic equations. The scheme is construct…
A priori generalization error for two-layer ReLU neural network through minimum norm solution
Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang +1
We focus on estimating \emph{a priori} generalization error of two-layer ReLU neural networks (NNs) trained by mean squared error, which only depends on initial parameters and the…