The generalized Euler-Maclaurin formula for the numerical solution of Abel-type integral equations
The generalized Euler-Maclaurin formula for the numerical solution of Abel-type integral equations
复制标题
Abel型积分方程数值解的广义欧拉-麦克劳林公式
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
J. Tausch
中科院分区：
文献类型：
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作者：
J. Tausch
Navot[12]将欧拉-麦克劳林公式推广到奇异积分。本文将这一结果应用于阿贝尔型积分方程的求积分规则。本文给出了稳定性和收敛性分析，并给出了与理论相吻合的数值结果。当与求积分算子的快速方法结合使用时，该方法特别有用。
An extension of the Euler-Maclaurin formula to singular integrals was introduced by Navot [12]. In this paper this result is applied to derive a quadrature rule for integral equations of the Abel type. We present a stability and convergence analysis and numerical results that are in good agreement with the theory. The method is particularly useful when combined with fast methods for evaluating integral operators.