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

Z. Wiener; Y. Yomdin

doi:10.1090/s0025-5718-99-01147-3

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

Z. Wiener^*, Y. Yomdin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	197-235
Number of pages	39
Journal	Mathematics of Computation
Volume	69
Issue number	229
DOIs	https://doi.org/10.1090/s0025-5718-99-01147-3
State	Published - Jan 2000
Externally published	Yes

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

Abstract

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