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math.NA2022
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…
math.NA2022
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…