Spectral method for solving the system of equations of Schro¨dinger-Klein-Gordon field

Spectral method for solving the system of equations of Schro¨dinger-Klein-Gordon field
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DOI:
10.1016/0377-0427(88)90265-8
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发表时间:
1988-02
影响因子:
2.4
通讯作者:
Xiang Xinmin
Xiang Xinmin
中科院分区:
数学2区
文献类型:
--
作者:
Xiang Xinmin

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本文构造了复薛定谔方程组与实际Klein-Gordon场相互作用的周期初值问题的守恒谱格式,并估计了误差为\xv;\gf;(Nk)−Φnn\xv;+xv;χ(Nk)−iXnn\xv;1=O(K2+N−(γ−1)。
In this paper, we construct the conservative spectral scheme for the periodic initial-value problem for a system of equations of the complex Schrödinger field, interacting with the real Klein—Gordon field and estimate the error which is \xV;\GF;(nk) − ΦnN\xV; + \xV;χ(nk) − iXnn\xV;1= O(k2+N−(γ−1)).