Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Allouch, C.¹  Sablonniere, P.²  Sbibih, D.¹  Tahrichi, M.¹ 

[1] Univ Mohammed 1, Ecole Super Technol, Lab MATSI, Oujda, Morocco

[2] Ctr Math, INSA, F-35043 Rennes, France

关键词: Integral equations;    Quadrature formulae;    Quasi-interpolation;    Singular kernels;   

DOI  :  10.1016/j.cam.2009.11.031

来源: Elsevier

【 摘 要 】

Quadrature formulae are established for product integration rules based on discrete spline quasi-interpoiants on a bounded interval. The integrand considered may have algebraic or logarithmic singularities. These formulae are then applied to the numerical solution of integral equations with weakly singular kernels. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free