From formal numerical solutions of elliptic PDE’s to the true ones
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- by Z. Wiener and Y. Yomdin PDF
- Math. Comp. 69 (2000), 197-235 Request permission
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.References
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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
- MR Author ID: 185690
- Email: yomdin@wisdom.weizmann.ac.il
- Received by editor(s): October 14, 1994
- Received by editor(s) in revised form: May 23, 1997
- Published electronically: August 19, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 197-235
- MSC (1991): Primary 65N06, 65N15, 35J05
- DOI: https://doi.org/10.1090/S0025-5718-99-01147-3
- MathSciNet review: 1654018