Numerical comparisons among some methods for Hamiltonian problems

For researchers in numerical integration of Hamiltonian systems, this provides a practical comparison of methods, but it is an incremental contribution.

The paper numerically compares energy-preserving integrators and symplectic methods for Hamiltonian problems, using constant and variable stepsize. Results show that energy-preserving methods maintain energy conservation more accurately than symplectic methods, especially with variable stepsize.