Linearly implicit structure-preserving schemes for Hamiltonian systems
Journal article
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Date
2019Metadata
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- Institutt for matematiske fag [2351]
- Publikasjoner fra CRIStin - NTNU [37215]
Abstract
Kahan’s method and a two-step generalization of the discrete gradient method are both linearly implicit methods that can preserve a modified energy for Hamiltonian systems with a cubic Hamiltonian. These methods are here investigated and compared. The schemes are applied to the Korteweg–de Vries equation and the Camassa–Holm equation, and the numerical results are presented and analysed.