Energy-preserving numerical methods for differential equations: Linearly implicit methods and Krylov subspace methods
Has parts
Paper 1: Eidnes, Sølve; Li,Lu; Sato,Shun. Linearly implicit structure-preserving schemes for Hamiltonian systems https://arxiv.org/abs/1901.03573Paper 2: Linearly implicit local and global energy-preserving methods for Hamiltonian PDEs https://arxiv.org/abs/1907.02122
Paper 3: Celledoni, Elena; Li,Lu. Symplectic Lancozs and Arnoldi Method for Solving Linear Hamiltonian Systems of ODEs: Preservation of Energy and Other Invariants - The final authenticated version is available online at: https://doi.org/10.1007/978-3-319-63082-3_86
Paper 4: Li, Lu; Celledoni, Elena. Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms 2019, 81: 1361. - The final authenticated version is available online at: https://doi.org/10.1007/s11075-018-00649-8
Paper 5: Li, Lu. Rounding error analysis for the energy error of APMH