TY - JOUR
T1 - Determining the locations and discontinuities in the derivatives of functions
AU - Archibald, Rick
AU - Gelb, Anne
AU - Yoon, Jungho
N1 - Funding Information:
Anne Gelb has been supported in part by NSF grants CNS 0324957, DMS 0510813, DMS 0608844, and NIH No. EB 025533-01. Jungho Yoon has been supported by the grant Seoul Research and Business Development Program 10646.
Funding Information:
Rick Archibald has been supported by the Householder Fellowship in Scientific Computing sponsored by the DOE Applied Mathematical Sciences program. Program of Oak Ridge National Laboratory (ORNL), managed by UT-Battelle, LLC for the US Department of Energy under Contract No. DE-AC05-00OR22725. Oak Ridge National Lab, PO Box 2008, MS6367, Oak Ridge, TN 37831-6367.
PY - 2008/5
Y1 - 2008/5
N2 - 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.
AB - 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.
KW - Derivative discontinuities
KW - Edge detection
KW - Piecewise smooth functions
KW - Polynomial annihilation
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U2 - 10.1016/j.apnum.2007.01.018
DO - 10.1016/j.apnum.2007.01.018
M3 - Article
AN - SCOPUS:41149154047
SN - 0168-9274
VL - 58
SP - 577
EP - 592
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 5
ER -