From formal numerical solutions of elliptic PDE's to the true ones

Abstract. 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.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: Z. Wiener, Yosi Yomdin
• Keywords: Discretization Scheme, MOC 2000, Numerical Solution, Taylor Polynomials