Orthogonal spline collocation methods for Schr\"{o}dinger-type equations in one space variable
Orthogonal spline collocation methods for Schr\"{o}dinger-type equations in one space variable
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DOI：
10.1007/s002110050067
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发表时间：
1994-09
影响因子：
2.1
通讯作者：
M. Robinson;G. Fairweather
中科院分区：
文献类型：
--
作者：
M. Robinson;G. Fairweather
研究了正交样条配置法在三次Schr dinger方程和二维抛物型Tappert方程半离散化中的应用. 在每种情况下，最佳orderestimate的半离散近似的误差。 对于三次薛定谔方程，我们给出了数值实验的结果，其中时间积分是使用一个例程从软件库中进行的。
We examine the use of orthogonal spline collocation for the semi-discreti\-za\-tion of the cubic Schr\"{o}dinger equation and the two-dimensional parabolic equation of Tappert. In each case, an optimal orderestimate of the error in the semidiscrete approximation is derived. For the cubic Schr\"{o}dinger equation, we present the results of numerical experiments in which the integration in time is performed using a routine from a software library.