数学
搭配(遥感)
离散化
混叠
理论(学习稳定性)
趋同(经济学)
指数函数
数学分析
应用数学
能量(信号处理)
傅里叶变换
时间离散化
时间演化
物理
计算机科学
统计
量子力学
机器学习
人工智能
欠采样
经济
经济增长
作者
Wenbin Chen,Weijia Li,Zhiwen Luo,Chengen Wang,Xiaoming Wang
出处
期刊:Mathematical Modelling and Numerical Analysis
[EDP Sciences]
日期:2019-11-18
卷期号:54 (3): 727-750
被引量:41
摘要
In this paper, a stabilized second order in time accurate linear exponential time differencing (ETD) scheme for the no-slope-selection thin film growth model is presented. An artificial stabilizing term $ A{\tau }^2\frac{\mathrm{\partial }{\Delta }^2u}{\mathrm{\partial }t}$ is added to the physical model to achieve energy stability, with ETD-based multi-step approximations and Fourier collocation spectral method applied in the time integral and spatial discretization of the evolution equation, respectively. Long time energy stability and detailed 𝓁∞(0, T ;𝓁 2 ) error analysis are provided based on the energy method, with a careful estimate of the aliasing error. In addition, numerical experiments are presented to demonstrate the energy decay and convergence rate.
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