Linearly implicit local and global energy-preserving methods for Hamiltonian PDEs
Journal article
Submitted version
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Åpne
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http://hdl.handle.net/11250/2608981Utgivelsesdato
2019Metadata
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- Institutt for matematiske fag [2474]
- Publikasjoner fra CRIStin - NTNU [38294]
Sammendrag
We present linearly implicit methods that preserve discrete approximations to local and global energy conservation laws for multi-symplectic PDEs with cubic invariants. The methods are tested on the one-dimensional Korteweg–de Vries equation and the two-dimensional Zakharov–Kuznetsov equation; the numerical simulations confirm the conservative properties of the methods, and demonstrate their good stability properties and superior running speed when compared to fully implicit schemes.