Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems

Time finite element methods: A unified framework for numerical discretizations of ODEs

(2012) Wensheng Tang et al.   APPLIED MATHEMATICS AND COMPUTATION

A simple framework for the derivation and analysis of effective one-step methods for ODEs

(2012) Luigi Brugnano et al.   APPLIED MATHEMATICS AND COMPUTATION

Parametric symplectic partitioned Runge–Kutta methods with energy-preserving properties for Hamiltonian systems

(2012) Dongling Wang et al.   COMPUTER PHYSICS COMMUNICATIONS

On conjugate symplecticity of B-series integrators

(2012) E. Hairer et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Line integral methods which preserve all invariants of conservative problems

(2012) Luigi Brugnano et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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

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

A note on the efficient implementation of Hamiltonian BVMs

(2011) Luigi Brugnano et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Error growth in the numerical integration of periodic orbits

(2011) M. Calvo et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Energy-Preserving Integrators and the Structure of B-series

(2010) Elena Celledoni et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS