Stable application of Filon–Clenshaw–Curtis rules to singular oscillatory integrals by exponential transformations
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DOI: 10.1007/s10543-018-0730-0
Abstract: Highly oscillatory integrals, having amplitudes with algebraic (or logarithmic) endpoint singularities, are considered. An integral of this kind is first transformed into a regular oscillatory integral over an unbounded interval. After applying the method of… read more here.
Keywords: clenshaw curtis; filon clenshaw; oscillatory integrals;
Filon–Clenshaw–Curtis formulas for highly oscillatory integrals in the presence of stationary points
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DOI: 10.1016/j.apnum.2017.02.003
Abstract: Abstract Numerical approximation of a general class of one-dimensional highly oscillatory integrals over bounded intervals with exponential oscillators is considered. A Filon-type method based on modified Clenshaw–Curtis quadrature rules is developed and its stability is… read more here.
Keywords: filon clenshaw; stationary points; oscillatory integrals; highly oscillatory ... See more keywords