Determining the Locations and Discontinuities in the Derivatives of Functions

Journal Article · Mon Jan 01 00:00:00 EST 2007 · Applied Numerical Mathematics

OSTI ID:931522

Archibald, Richard K ^[1]; Gelb, Anne ^[2]; Yoon, Jungho ^[3]

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1. ORNL
2. Arizona State University
3. Ewha Womans University, Seoul, South Korea

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.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). National Center for Computational Sciences (NCCS)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 931522
• Journal Information: Applied Numerical Mathematics, Vol. 1, Issue 5
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
ANNIHILATION
POLYNOMIALS
FUNCTIONS