Nystrom-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels

被引:0
|
作者
Kang, SY [1 ]
Koltracht, I
Rawitscher, G
机构
[1] Purdue Univ N Cent, Dept Math, Westville, IN 46391 USA
[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[3] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA
关键词
discontinuous kernels; fast algorithms; nonlocal potentials;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new highly accurate numerical approximation scheme based on a Gauss type Clenshaw-Curtis quadrature for Fredholm integral equations of the second kind x(t) + integral(a)(b) k(t, s)x(s)ds = y(t), whose kernel k(t, s) is either discontinuous or not smooth along the main diagonal, is presented. This scheme is of spectral accuracy when k(t, s) is infinitely differentiable away from the diagonal t = s. Relation to the singular value decomposition is indicated. Application to integro-differential Schrodinger equations with nonlocal potentials is given.
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页码:729 / 756
页数:28
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