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math.NA2021★ 1 cited
Gaussian rule for integrals involving Bessel functions
Eleonora Denich, Paolo Novati
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…
math.NA2021★ 11 cited
Exponentially convergent trapezoidal rules to approximate fractional powers of operators
Lidia Aceto, Paolo Novati
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 t…