Let A be a positive integral power of a natural, conformally covariant diierential operator on tensor-spinors in a Riemannian manifold. Suppose that A is formally self-adjoint and has positive deenite leading symbol. For example, A could be the conformal Laplacian (Yamabe operator) L, or the square of the Dirac operator r =. Within the conformal class fg = e 2w g 0 j w 2 C 1 (M)g of an Einstein...

In this paper, we propose new variants of the two-step Adams-Bashforth and the one-step Adams-Moulton methods for the numerical integration of ordinary differential equations (ODEs). The methods are constructed geometrically from an exponentially fitted osculating parabola. The accuracy and stability of the proposed variants is discussed and their applicability to some initial value problems is...