A new class of energy-preserving numerical integration methods 论文

2008Journal of Physics A Mathematical and Theoretical引用 440
Numerical methods for differential equationsMatrix Theory and AlgorithmsAdvanced Numerical Methods in Computational Mathematics

摘要

The first ever energy-preserving B-series numerical integration method for (ordinary) differential equations is presented and applied to several Hamiltonian systems. Related novel Lie algebraic results are also discussed.