Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system in optical applications
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2020
- DOI:
- 10.48550/arXiv.2011.11380
- arXiv:
- arXiv:2011.11380
- Bibcode:
- 2020arXiv201111380M
- Keywords:
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- Mathematics - Numerical Analysis