From formal numerical solutions of elliptic PDE’s to the true ones
Z. Wiener, Yosef Yomdin · Mathematics of Computation · 1999
We propose a discretization scheme for a numerical solution of elliptic PDE’s, based on local representation of functions, by their Taylor polynomials (jets). This scheme utilizes jet calculus to provide a very high order of accuracy for a relatively small number of unknowns involved.