On the convergence of the Nyström method for the integral equation eigenvalue problem |
| |
Authors: | Alastair Spence |
| |
Affiliation: | (1) School of Mathematics, Univ. of Bath, Claverton Down, BA2 7AY Bath, England |
| |
Abstract: | Summary Approximate solutions of the linear integral equation eigenvalue problem can be obtained by the replacement of the integral by a numerical quadrature formula and then collocation to obtain a linear algebraic eigenvalue problem. This method is often called the Nyström method and a framework for its error analysis was introduced by Noble [15]. In this paper the convergence of the method is considered when the integral operator is a compact operator from a Banach spaceX intoX. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|