Affiliation:
1. The University of Tennessee Space Institute, Tullahoma, Tennessee, USA
Abstract
A finite difference procedure for linear partial differential equations is shown to be optimal in the sense that the L2 error norm obtained from interpolating an arbitrarily large set of solutions is minimized. The method is valid for any spatial lattice of discretizing points, however, formal 6th order error equivalence is proven for the special cases of the Helmholtz and Laplace equations for a square 2-D lattice.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Acoustics and Ultrasonics
Cited by
9 articles.
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