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

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

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

Line integral methods which preserve all invariants of conservative problems

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

The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity

(2011) Luigi Brugnano et al.   APPLIED MATHEMATICS AND COMPUTATION

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

Energy-preserving Runge-Kutta methods

(2009) Elena Celledoni et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A new class of energy-preserving numerical integration methods

(2008) G R W Quispel et al.   Journal of Physics A-Mathematical and Theoretical