4 papers
A Rational Discrete Collocation Method for Second Kind Fredholm Equations
Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella +1
In this work we present a novel discrete collocation method for the numerical solution of Fredholm integral equations of the second kind in the space of continuous functions equipp…
De la Vallée Poussin type approximation for solving some Fredholm integral equations
Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella +1
In the present paper, we introduce a numerical method for second-kind Fredholm integral equations (FIEs) based on de la Vallée Poussin-type (VP) polynomial approximations at Jacobi…
A product integration rule on equispaced nodes for highly oscillating integrals
Luisa Fermo, Domenico Mezzanotte, Donatella Occorsio
This paper provides a product integration rule for highly oscillating integrands, based on equally spaced nodes. The stability and the error estimate are proven in the space of con…
On the numerical solution of Volterra integral equations on equispaced nodes
Luisa Fermo, Domenico Mezzanotte, Donatella Occorsio
In the present paper, a Nystrom-type method for second kind Volterra integral equations is introduced and studied. The method makes use of generalized Bernstein polynomials, define…