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.
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)