1 citations · 1 across the 6 of their papers we have counts for
7 papers
A novel efficient structure-preserving exponential integrator for Hamiltonian systems
Pan Zhang, Fengyang Xiao, Lu Li
We propose a linearly implicit structure-preserving numerical method for semilinear Hamiltonian systems with polynomial nonlinearities, combining Kahan's method and exponential int…
High-order Structure-preserving Methods for Damped Hamiltonian System
Lu Li
We present a novel methodology for constructing arbitrarily high-order structure-preserving methods tailored for damped Hamiltonian systems. This method combines the idea of expone…
Approximation of Images via Generalized Higher Order Singular Value Decomposition over Finite-dimensional Commutative Semisimple Algebra
Liang Liao, Sen Lin, Lun Li +6
Low-rank approximation of images via singular value decomposition is well-received in the era of big data. However, singular value decomposition (SVD) is only for order-two data, i…
A new symmetric linearly implicit exponential integrator preserving polynomial invariants or Lyapunov functions for conservative or dissipative systems
Lu Li
We present a new linearly implicit exponential integrator that preserves the polynomial first integrals or Lyapunov functions for the conservative and dissipative stiff equations,…
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…
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…
Krylov projection methods for linear Hamiltonian systems
Elena Celledoni, Lu Li
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…