For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good ...

This is a preview. Log in through your library . Abstract Modified optimal linear k-step methods (whose coefficients depend on the stepsize and on a parameter L) are used for the numerical integration ...

Abstract: This paper focuses on using zero-stable multistep formulae with evenly spaced off-grid points to numerically simulate differential equations originating from applied mathematics and ...

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 ...