Title
Numerical methods for Fredholm integral equations with singular right-hand sides
Abstract
Fredholm integral equations with the right-hand side having singularities at the endpoints are considered. The singularities are moved into the kernel that is subsequently regularized by a suitable one-to-one map. The Nyström method is applied to the regularized equation. The convergence, stability and well conditioning of the method is proved in spaces of weighted continuous functions. The special case of the weakly singular and symmetric kernel is also investigated. Several numerical tests are included.
Year
DOI
Venue
2010
10.1007/s10444-009-9137-4
Adv. Comput. Math.
Keywords
Field
DocType
Fredholm integral equations,Projection methods,Nyström method,65R20,45E05
Nyström method,Continuous function,Mathematical optimization,Fredholm integral equation,Mathematical analysis,Integral equation,Numerical analysis,Fredholm theory,Integral transform,Mathematics,Volterra integral equation
Journal
Volume
Issue
ISSN
33
3
1019-7168
Citations 
PageRank 
References 
2
0.51
5
Authors
2
Name
Order
Citations
PageRank
L. Fermo120.51
M. G. Russo230.91