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자연과학대학
수학전공
Journal papers
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Determining the locations and discontinuities in the derivatives of functions
Title
Determining the locations and discontinuities in the derivatives of functions
Authors
Archibald R.
;
Gelb A.
;
Yoon J.
Ewha Authors
윤정호
SCOPUS Author ID
윤정호
Issue Date
2008
Journal Title
Applied Numerical Mathematics
ISSN
0168-9274
Citation
Applied Numerical Mathematics vol. 58, no. 5, pp. 577 - 592
Indexed
SCI; SCIE; SCOPUS
Document Type
Article
Abstract
We introduce a method for detecting discontinuities in piecewise smooth functions and in their derivatives. The method is constructed from a local stencil of grid point values and is based on a polynomial annihilation technique. By varying the order of the method and the arrangement of the corresponding stencils, the jump discontinuities of a function and its derivatives can be identified with high order accuracy. The method is efficient and robust and can be applied to non-uniform distributions in one dimension. © 2007 IMACS.
DOI
10.1016/j.apnum.2007.01.018
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