In this paper, we study the numerical solution of Manakov systems by using a spectrally accurate Fourier decomposition in space, coupled with a spectrally accurate time integration. This latter relies on the use of spectral Hamiltonian Boundary Value Methods. The used approach allows to conserve all the physical invariants of the systems. Some numerical tests are reported.
Spectrally accurate space-time solution of Manakov systems / Luigi Barletti, Luigi Brugnano, Yifa Tang, Beibei Zhu. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 377:(2020), pp. 11291801-11291820. [10.1016/j.cam.2020.112918]
Spectrally accurate space-time solution of Manakov systems
Luigi Barletti;Luigi Brugnano
;
2020
Abstract
In this paper, we study the numerical solution of Manakov systems by using a spectrally accurate Fourier decomposition in space, coupled with a spectrally accurate time integration. This latter relies on the use of spectral Hamiltonian Boundary Value Methods. The used approach allows to conserve all the physical invariants of the systems. Some numerical tests are reported.
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JCAM2020.pdf
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ArXiv_1910.06040.pdf
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