【摘要】 用分离奇异性方法构造了具有高代数精度的含Cauchy核奇异积分的Gauss-Kronrod求积公式,给出了计算求积系数的简洁方法和表达式,导出了求积公式余项表达式.对求积公式在计算机上用Matlab编程进行了数值实验,数值实验结果与理论分析一致.更多还原

【Abstract】 We establish a high accuracy Gauss-Kronrod quadrature formula for singular integrals with Cauchy kernel by using the separating singularity method.The new method for computing the coefficients and the remainder term of the formula are derived.Numerical experimental results with Matlab are consistent with our theoretical analysis.更多还原