Linearly implicit structure-preserving schemes for Hamiltonian systems

نویسندگان

چکیده

Kahan’s method and a two-step generalisation of the discrete gradient are both linearly implicit methods that can preserve modified energy for Hamiltonian systems with cubic Hamiltonian. These here investigated compared. The schemes applied to Korteweg–de Vries equation Camassa–Holm equation, numerical results presented analysed.

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2021

ISSN: ['0377-0427', '1879-1778', '0771-050X']

DOI: https://doi.org/10.1016/j.cam.2019.112489