Work

Anti-Gauss Cubature Rules with Applications to Fredholm Integral Equations on the Square

Year: 2025

Type: article

Abstract: . The purpose of this paper is to develop the anti-Gauss cubature rule for approximating integrals defined on the square whose integrand function may have algebraic singularities at the boundaries. An application of such a rule to the numerical solution of Fredholm integral equations of the second kind is also explored. The stability, convergence, and conditioning of the proposed Nyström-type method are studied. The numerical solution of the resulting dense linear system is also investigated, and several numerical tests are presented.

Source: SIAM Journal on Scientific Computing

DOI: 10.1137/24m1631432

Authors: P. Díaz de Alba, L. Fermo, G. Rodriguez

Institutions: University of Salerno, University of Cagliari

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green