17 citations · 18 across the 5 of their papers we have counts for
5 papers
Numerical approximation based on deep convolutional neural network for high-dimensional fully nonlinear merged PDEs and 2BSDEs
Xu Xiao, Wenlin Qiu, Omid Nikan
This paper proposes two efficient approximation methods to solve high-dimensional fully nonlinear partial differential equations (NPDEs) and second-order backward stochastic differ…
Global behavior of temporal discretizations for Volterra integrodifferential equations with certain nonsmooth kernels
Wenlin Qiu
In this work, the z-transform is presented to analyze time-discrete solutions for Volterra integrodifferential equations (VIDEs) with nonsmooth multi-term kernels in the Hilbert sp…
Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation
Xiangyi Peng, Da Xu, Wenlin Qiu
In this paper, based on the developed nonlinear fourth-order operator and method of order reduction, a novel fourth-order compact difference scheme is constructed for the mixed-typ…
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel
Hao Chen, Mahmoud A. Zaky, Ahmed S. Hendy +1
In this paper, a two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel is proposed to reduce th…
Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity
Wenlin Qiu, Xu Xiao, Kexin Li
This paper establishes and analyzes a second-order accurate numerical scheme for the nonlinear partial integrodifferential equation with a weakly singular kernel. In the time direc…