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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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


Authors: Z. Wiener and Y. Yomdin
Journal: Math. Comp. 69 (2000), 197-235
MSC (1991): Primary 65N06, 65N15, 35J05
Published electronically: August 19, 1999
MathSciNet review: 1654018
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

Z. Wiener
Affiliation: Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel
Email: mswiener@pluto.mscc.huji.ac.il

Y. Yomdin
Affiliation: Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel
Email: yomdin@wisdom.weizmann.ac.il

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01147-3
PII: S 0025-5718(99)01147-3
Received by editor(s): October 14, 1994
Received by editor(s) in revised form: May 23, 1997
Published electronically: August 19, 1999
Article copyright: © Copyright 1999 American Mathematical Society