We propose a new constructive procedure to factorize the fundamental real matrix of a linear system of differential equations as the product of the exponentials of a symmetric and a skew-symmetric matrix. Both matrices are explicitly constructed as series whose terms are computed recursively. The procedure is shown to converge for sufficiently small times.… (More)
We present an explicit polynomial solution method for surface generation. In this case the surface in question is characterized by some boundary configuration whereby the resulting surface conforms to a fourth order linear elliptic Partial Differential Equation , the Euler-Lagrange equation of a quadratic functional defined by a norm. In particular , the… (More)
We give a method to generate polynomial approximations to constant mean curvature surfaces with prescribed boundary.