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math.NA2020★ 3 cited
Rounding Error Analysis of Linear Recurrences Using Generating Series
Marc Mezzarobba
We develop a toolbox for the error analysis of linear recurrences with constant or polynomial coefficients, based on generating series, Cauchy's method of majorants, and simple res…
math.NA2018
Fast and rigorous arbitrary-precision computation of Gauss-Legendre quadrature nodes and weights
Fredrik Johansson, Marc Mezzarobba
We describe a strategy for rigorous arbitrary-precision evaluation of Legendre polynomials on the unit interval and its application in the generation of Gauss-Legendre quadrature r…