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math.NA2019
Linearly implicit local and global energy-preserving methods for PDEs with a cubic Hamiltonian
Sølve Eidnes, Lu Li
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…
math.NA2019
Linearly implicit structure-preserving schemes for Hamiltonian systems
Sølve Eidnes, Lu Li, Shun Sato
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 c…