Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Fermo, Luisa"'
Autor:
Fermo, Luisa, Loi, Valerio
The paper deals with the numerical approximation of the Hilbert transform on the unit circle using Szeg\"o and anti-Szeg\"o quadrature formulas. These schemes exhibit maximum precision with oppositely signed errors and allow for improved accuracy thr
Externí odkaz:
http://arxiv.org/abs/2409.07810
A global approximation method of Nystr\"om type is explored for the numerical solution of a class of nonlinear integral equations of the second kind. The cases of smooth and weakly singular kernels are both considered. In the first occurrence, the me
Externí odkaz:
http://arxiv.org/abs/2407.10842
The purpose of the paper is to provide a characterization of the error of the best polynomial approximation of composite functions in weighted spaces. Such a characterization is essential for the convergence analysis of numerical methods applied to n
Externí odkaz:
http://arxiv.org/abs/2308.06043
Publikováno v:
Appl. Math. Comput., 467:128482 (20 pages), 2024
Fredholm integral equations of the second kind that are defined on a finite or infinite interval arise in many applications. This paper discusses Nystr\"om methods based on Gauss quadrature rules for the solution of such integral equations. It is imp
Externí odkaz:
http://arxiv.org/abs/2307.11601
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 continuous functions, and some numerical tests which confirm such estimat
Externí odkaz:
http://arxiv.org/abs/2207.08881
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, defined for continuous functions and based on equally spaced points. Stabili
Externí odkaz:
http://arxiv.org/abs/2207.06736
Publikováno v:
In Applied Mathematics and Computation 15 February 2025 487
Publikováno v:
Numerical Algorithms 92, 471-502 (2023)
Overdetermined systems of first kind integral equations appear in many applications. When the right-hand side is discretized, the resulting finite-data problem is ill-posed and admits infinitely many solutions. We propose a numerical method to comput
Externí odkaz:
http://arxiv.org/abs/2201.12054
Publikováno v:
In Applied Mathematics and Computation 15 April 2024 467
Publikováno v:
In Applied Mathematics Letters February 2023 136