Algorithms for multidimensional numerical integration with singularities
نویسندگان
چکیده
منابع مشابه
Numerical indefinite integration of functions with singularities
We derive an indefinite quadrature formula, based on a theorem of Ganelius, for Hp functions, for p > 1, over the interval (−1, 1). The main factor in the error of our indefinite quadrature formula is O(e−π √ ), with 2N nodes and 1 p + 1 q = 1. The convergence rate of our formula is better than that of the Stenger-type formulas by a factor of √ 2 in the constant of the exponential. We conjectur...
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1978
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/21.4.355