论文标题

基于光学应用中Zakharov-Shabat系统的广义Cayley变换的快速六阶算法

Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system in optical applications

论文作者

Medvedev, Sergey, Chekhovskoy, Igor, Vaseva, Irina, Fedoruk, Mikhail

论文摘要

基于广义的Cayley变换,构建了Zakharov-Shabat系统第六个保守的一步方案的家族。指数积分器是一种特殊情况。基于有理近似的方案允许使用快速算法来解决大量光谱参数值的初始问题。

Based on the generalized Cayley transform, a family of conservative one-step schemes of the sixth order of accuracy for the Zakharov-Shabat system is constructed. The exponential integrator is a special case. Schemes based on rational approximation allow the use of fast algorithms to solve the initial problem for a large number of values of the spectral parameter.

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