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Extrapolation Methods for Computing Supersingular Integral on a Circle
Last modified: 2017-07-05
Abstract
The trapezoidal rule for the computation of supersingula integrals
on circle is discussed, and the asymptotic
expansion of error function is obtained. A series to approach the
singular point is constructed. The extrapolation algorithm is
presented and the convergence rate is proved. Some numerical results
are also reported to confirm the theoretical results and show the
efficiency of the algorithms.
on circle is discussed, and the asymptotic
expansion of error function is obtained. A series to approach the
singular point is constructed. The extrapolation algorithm is
presented and the convergence rate is proved. Some numerical results
are also reported to confirm the theoretical results and show the
efficiency of the algorithms.
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