Publication Type
Journal
Journal Name
Applied Numerical Mathematics
Publication Date
Page Numbers
577 to 592
Volume
58
Issue
5
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.
