On a Class of Conjugate Symplectic Hermite-Obreshkov One-Step Methods with Continuous Spline Extension
The class of A-stable symmetric one-step Hermite–Obreshkov (HO) methods introduced by F.Loscalzo in 1968 for dealing with initial value problems is analyzed.Such schemes have the peculiarity of admitting a multiple knot spline extension collocating the differential Motorcycle Kit equation at the mesh points.As a new result, it is shown that t