Paper Info
Title
A Nyström method for integral equations with fixed singularities of Mellin type in weighted Lp spaces.
Abstract
We consider integral equations of the second kind with fixed singularities of Mellin type. According to the behavior of the Mellin kernel, we first determine suitable weighted Lp spaces where we look for the solution. Then, for its approximation, we propose a numerical method of Nystrm type based on a GaussJacobi quadratura formula. Actually, a slight modification of the classical procedure is introduced in order to prove convergence results in weighted Lp spaces. Moreover, a preconditioning technique allows us to solve well conditioned linear systems. We show the efficiency of the proposed method through some numerical tests.
Year
DOI
Venue
2017
10.1016/j.amc.2017.01.027
Applied Mathematics and Computation
Keywords
Field
DocType
Mellin kernel,Integral equation of Mellin type,Nyström method,Lagrange interpolation,Gaussian rule
Kernel (linear algebra),Nyström method,Mathematical optimization,Linear system,Mathematical analysis,Lp space,Integral equation,Ramanujan's master theorem,Numerical analysis,Mellin inversion theorem,Mathematics
Journal
Volume
Issue
ISSN
303
C
0096-3003
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
M. C. De Bonis1175.60
C. Laurita2113.29