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  • 1
    Electronic Resource
    Electronic Resource
    DECUHR: an algorithm for automatic integration of singular functions over a hyperrectangular region (1994)
    Springer
    Numerical algorithms 8 (1994), S. 201-220 
    Details
    ISSN: 1572-9265
    Keywords: Automatic ; adaptive ; cubature ; singularity ; extrapolation ; stability ; 65D30 ; 65-04 ; 65B05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We describe an automatic cubature algorithm for functions that have a singularity on the surface of the integration region. The algorithm combines an adaptive subdivision strategy with extrapolation. The extrapolation uses a non-uniform subdivision that can be directly incorporated into the subdivision strategy used for the adaptive algorithm. The algorithm is designed to integrate a vector function over ann-dimensional rectangular region and a FORTRAN implementation is included.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02142691
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