In this paper, we present some invariants and conservation laws of general linear methods applied to differential equation systems. We show that the quadratic invariants and symplecticity of the ...

SIAM Journal on Numerical Analysis, Vol. 35, No. 4 (Aug., 1998), pp. 1684-1708 (25 pages) This paper introduces a general technique for the construction of multistep methods capable of integrating, ...