Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators

[摘要] In this paper a local spline approximation method, defined for any function f epsilon L(1)[-1, 1], is applied to evaluate Cauchy principal value integrals and convergence results with an error bound are established. Some comparisons with other methods and numerical examples are given.

[发布日期] 1996-12-17

[关键词] Cauchy singular integrals;approximating splines;B-splines