A class of structure-preserving discontinuous Galerkin variational time integrators for Birkhoffian systems

A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry

(2018) H. Zheng et al.   APPLIED MATHEMATICAL MODELLING

Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods

(2018) Luigi Brugnano et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On variational and symplectic time integrators for Hamiltonian systems

(2016) E. Gagarina et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Lie Group Spectral Variational Integrators

(2015) James Hall et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Variational space–time (dis)continuous Galerkin method for nonlinear free surface water waves

(2014) E. Gagarina et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A unified discontinuous Galerkin framework for time integration

(2013) Shan Zhao et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae

(2012) Luigi Brugnano et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Discrete Hamiltonian variational integrators

(2011) M. Leok et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Structure-preserving algorithms for Birkhoffian systems

(2011) Xinlei Kong et al.   JOURNAL OF GEOMETRY AND PHYSICS

Discrete mechanics and optimal control for constrained systems

(2009) S. Leyendecker et al.   OPTIMAL CONTROL APPLICATIONS & METHODS