B. Wang et al., SQUARE CONSERVATION SYSTEMS AND HAMILTONIAN-SYSTEMS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 38(10), 1995, pp. 1211-1219
The internal and external relationships between the square conservatio
n scheme and the symplectic scheme are revealed by a careful study on
the interrelation between the square conservation system and the Hamil
tonian system in the linear situation, thus laying a theoretical basis
for the application and extension of symplectic schemes to square con
servations systems,and of those schemes with quadratic conservation pr
operties to Hamiltonian systems.