4 citations · 6 across the 6 of their papers we have counts for
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An adaptive integrating factor midpoint method for second order evolution equations
Xianfa Hu, Fazhan Geng, Wansheng Wang
In this paper, we consider the integrating factor midpoint method for wave-type equations and derive optimal order a posteriori error estimates. We first introduce an integrating f…
Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems
Xianfa Hu, Wansheng Wang, Bin Wang +1
In this paper, two novel classes of implicit exponential Runge-Kutta (ERK) methods are studied for solving highly oscillatory systems. First of all, we analyze the symplectic condi…
Deep learning numerical methods for high-dimensional fully nonlinear PIDEs and coupled FBSDEs with jumps
Wansheng Wang, Jie Wang, Jinping Li +2
We propose a deep learning algorithm for solving high-dimensional parabolic integro-differential equations (PIDEs) and high-dimensional forward-backward stochastic differential equ…
Long time stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity
Wansheng Wang
In this paper we investigate the long time stability of the implicit Euler scheme for the Cahn-Hilliard equation with polynomial nonlinearity. The uniform estimates in and…
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations
Wansheng Wang, Mengli Mao, Zheng Wang
In this paper stability and error estimates for time discretizations of linear and semilinear parabolic equations by the two-step backward differentiation formula (BDF2) method wit…
Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory
Wansheng Wang, Qingguo Hong
In this paper, several two-grid finite element algorithms for solving parabolic integro-differential equations (PIDEs) with nonlinear memory are presented. Analysis of these algori…