Error bounds for spline-based quadrature methods for strongly singular integrals

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:89

Article

Diethelm, K

关键词: Hadamard finite-pan integral;    Cauchy principal value integral;    spline approximation;    not-a-knot condition;    nodal spline;    quasi-interpolatory spline;   

DOI  :  10.1016/S0377-0427(97)00245-8

来源: Elsevier

【 摘 要 】

For the numerical evaluation of finite-part integrals with singularities of order p greater than or equal to 1, we give error bounds for quadrature methods based on spline approximation. These bounds behave in the same way as the optimal ones. The ideas of the proof are also useful for methods based on other approximation processes. (C) 1998 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free