A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrodinger equation
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrodinger equation
复制标题
用于一维周期性三次非线性薛定谔方程的全离散低正则积分器
DOI：
10.1007/s00211-021-01226-3
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发表时间：
2021
影响因子：
2.1
通讯作者：
Wu Yifei
中科院分区：
文献类型：
--
作者：
Li Buyang;Wu Yifei
针对一维周期三次非线性薛定谔方程构造了一个全离散、全显式的低正则性积分器。该方法可以用快速傅里叶变换在每个时间层上进行运算来实现，并证明了该方法对初始数据有一个范数误差界，而不需要任何CFL条件，其中和N分别表示时间步长和空间离散自由度。
A fully discrete and fully explicit low-regularity integrator is constructed for the one-dimensional periodic cubic nonlinear Schrödinger equation. The method can be implemented by using fast Fourier transform withoperations at every time level, and is proved to have an-norm error bound offorinitial data, without requiring any CFL condition, whereandNdenote the temporal stepsize and the degree of freedoms in the spatial discretisation, respectively.