Blar i NTNU Open på forfatter "Li, Lu"
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Energy-preserving numerical methods for differential equations: Linearly implicit methods and Krylov subspace methods
Li, Lu (Doctoral theses at NTNU;2019:272, Doctoral thesis, 2019) -
Krylov projection methods for linear Hamiltonian systems
Li, Lu; Celledoni, Elena (Journal article; Peer reviewed, 2019)We study geometric properties of Krylov projection methods for large and sparse linear Hamiltonian systems. We consider in particular energy-preservation. We discuss the connection to structure preserving model reduction. ... -
Linearly implicit local and global energy-preserving methods for Hamiltonian PDEs
Eidnes, Sølve; Li, Lu (Journal article, 2019)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 ... -
Linearly implicit structure-preserving schemes for Hamiltonian systems
Eidnes, Sølve; Li, Lu; Sato, Shun (Journal article, 2019)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 ...