Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Wang, WanSheng"'
In this paper, the a posteriori error estimates of the exponential midpoint method for time discretization are studied for linear and semilinear parabolic equations. Using the exponential midpoint approximation defined by a continuous and piecewise l
Externí odkaz:
http://arxiv.org/abs/2406.07789
Autor:
Cao, Zhangkai, Su, Jiahao, Li, Jianyu, Ying, Tao, Wang, WanSheng, Sun, Jin-Hua, Tang, Ho-Kin, Lin, Haiqing
The Landau Fermi liquid theory, a cornerstone in condensed matter physics, encounters limitations in explaining certain phenomena, like the peculiar behavior of strange metals in high-temperature superconductors. Non-Fermi liquids, like Bose metals w
Externí odkaz:
http://arxiv.org/abs/2405.13405
We derive optimal order a posteriori error estimates in the $L^\infty(L^2)$ and $L^1(L^2)$-norms for the fully discrete approximations of time fractional parabolic differential equations. For the discretization in time, we use the $L1$ methods, while
Externí odkaz:
http://arxiv.org/abs/2311.06711
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 conditions of two kinds of exponential integrators, and present a first-ord
Externí odkaz:
http://arxiv.org/abs/2306.06614
We propose a deep learning algorithm for solving high-dimensional parabolic integro-differential equations (PIDEs) and high-dimensional forward-backward stochastic differential equations with jumps (FBSDEJs), where the jump-diffusion process are deri
Externí odkaz:
http://arxiv.org/abs/2301.12895
Autor:
Wang, Wansheng
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 $H^{-1}$ and $\mathcal H^s_\alpha$ ($s=1,2,3$) spaces independent of the initial d
Externí odkaz:
http://arxiv.org/abs/2003.14399
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 with variable step-sizes are derived. An affirmative answer is provided t
Externí odkaz:
http://arxiv.org/abs/2003.03534
Autor:
Wang, Wansheng, Hong, Qingguo
In this paper, several two-grid finite element algorithms for solving parabolic integro-differential equations (PIDEs) with nonlinear memory are presented. Analysis of these algorithms is given assuming a fully implicit time discretization. It is sho
Externí odkaz:
http://arxiv.org/abs/1806.04842