Linearly implicit structure-preserving schemes for Hamiltonian systems
Journal article
Submitted version
![Thumbnail](/ntnu-xmlui/bitstream/handle/11250/2608978/linimp_arXiv.pdf.jpg?sequence=5&isAllowed=y)
Åpne
Permanent lenke
http://hdl.handle.net/11250/2608978Utgivelsesdato
2019Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2474]
- Publikasjoner fra CRIStin - NTNU [38294]
Sammendrag
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.