Arbitrary order numerical methods conserving integrals for solving dynamic equations

AbstractA number of problems in celestial mechanics, some Hamiltonian systems and non-Hamiltonian ones, may be solved numerically by a modification of polynomial extrapolation which conserves integrals. It means that it is possible to get numerical solutions of dynamic equations which possess the same properties that follow from the theoretical study. This paper is a survey of problems for which this modification may be applied