Numerical Approximations for the Laplacian
Sponsored by Missouri Western State University Sponsored by a grant from the National Science Foundation DUE-97-51113
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The proper APA Style reference for this manuscript is:
MILLER, J. E. (1999). Numerical Approximations for the Laplacian. National Undergraduate Research Clearinghouse, 2. Available online at http://www.webclearinghouse.net/volume/. Retrieved August 24, 2017 .

Numerical Approximations for the Laplacian
JAMES E. MILLER AND BRADLEY S. JONES AND KENTON D. LEATHERMAN
TRANSYLVANIA UNIVERSITY NATURAL SCIENCES AND MATHEMATI

Sponsored by: JAMES MILLER (jmiller@mail.transy.edu)
ABSTRACT
Various finite difference formulae for the Laplacian are given in the form of stencils of a variety of types and orders. Straightforward methods for generating stencils are described. The methods are used to obtain several special-purpose stencils. The leading terms of the truncation error for several stencils of interest are computed.

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Submitted 9/11/99 3:07:34 PM
Last Edited 9/11/99 3:09:20 PM
Converted to New Site 03/09/2009

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