Abstract: Time-stepping procedures for the solution of evolution equations can be performed on parallel architecture by parallelizing the space computation at each time step. This, however, requires ...

SIAM Journal on Numerical Analysis, Vol. 18, No. 5 (Oct., 1981), pp. 808-821 (14 pages) Exponentially fitted composite, multiderivative linear multistep methods of orders up to 5 are derived. A ...

ABSTRACT: In this paper we derived a continuous linear multistep method (LMM) with step number k = 5 through collocation and interpolation techniques using power series as basis function for ...

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 ...