Zobrazeno 1 - 10
of 177
pro vyhledávání: '"Novati, Paolo"'
Recently Ahmadi et al. (2021) and Tagliaferro (2022) proposed some iterative methods for the numerical solution of linear systems which, under the classical hypothesis of strict diagonal dominance, typically converge faster than the Jacobi method, bu
Externí odkaz:
http://arxiv.org/abs/2404.06800
Autor:
Denich, Eleonora, Novati, Paolo
This paper deals with the error analysis of the trapezoidal rule for the computation of Fourier type integrals, based on two double exponential transformations. The theory allows to construct algorithms in which the steplength and the number of nodes
Externí odkaz:
http://arxiv.org/abs/2308.01124
Autor:
Denich, Eleonora, Novati, Paolo
This paper deals with the computation of the Lerch transcendent by means of the Gauss-Laguerre formula. An a priori estimate of the quadrature error, that allows to compute the number of quadrature nodes necessary to achieve an arbitrary precision, i
Externí odkaz:
http://arxiv.org/abs/2302.12065
This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximated by means of a novel approach based on the splitting of the reflectio
Externí odkaz:
http://arxiv.org/abs/2211.10081
This paper introduces a very fast method for the computation of the resolvent of fractional powers of operators. The analysis is kept in the continuous setting of (potentially unbounded) self adjoint positive operators in Hilbert spaces. The method i
Externí odkaz:
http://arxiv.org/abs/2210.11076
Autor:
Denich, Eleonora, Novati, Paolo
We consider the approximation of the inverse square root of regularly accretive operators in Hilbert spaces. The approximation is of rational type and comes from the use of the Gauss-Legendre rule applied to a special integral formulation of the prob
Externí odkaz:
http://arxiv.org/abs/2202.01622
Autor:
Denich, Eleonora, Novati, Paolo
In this work we develop the Gaussian quadrature rule for weight functions involving fractional powers, exponentials and Bessel functions of the first kind. Besides the computation based on the use of the standard and the modified Chebyshev algorithm,
Externí odkaz:
http://arxiv.org/abs/2110.05051
Autor:
Aceto, Lidia, Novati, Paolo
Publikováno v:
Journal of Scientific Computing, Volume 91, article number 55, (2022)
In this paper we are interested in the approximation of fractional powers of self-adjoint positive operators. Starting from the integral representation of the operators, we apply the trapezoidal rule combined with a single-exponential and a double-ex
Externí odkaz:
http://arxiv.org/abs/2107.05860
Autor:
Denich, Eleonora, Novati, Paolo
Publikováno v:
In Applied Numerical Mathematics April 2024 198:160-175
Autor:
Aceto, Lidia, Novati, Paolo
Publikováno v:
IMA Journal of Numerical Analysis, Volume 42, Issue 2, April 2022, Pages 1598-1622
In this paper we consider some rational approximations to the fractional powers of self-adjoint positive operators, arising from the Gauss-Laguerre rules. We derive practical error estimates that can be used to select a priori the number of Laguerre
Externí odkaz:
http://arxiv.org/abs/2004.09793