Construction and implementation of asymptotic expansions for Jacobi–type orthogonal polynomials

Fast computation of Gauss quadrature nodes and weights on the whole real line

(2015) Alex Townsend et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Iteration-Free Computation of Gauss--Legendre Quadrature Nodes and Weights

(2014) I. Bogaert   SIAM JOURNAL ON SCIENTIFIC COMPUTING

The Exponentially Convergent Trapezoidal Rule

(2014) Lloyd N. Trefethen et al.   SIAM REVIEW

Nonlinear Steepest Descent and Numerical Solution of Riemann-Hilbert Problems

(2013) Sheehan Olver et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Numerical Solution of Riemann–Hilbert Problems: Random Matrix Theory and Orthogonal Polynomials

(2013) Sheehan Olver et al.   CONSTRUCTIVE APPROXIMATION

Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights

(2013) Nicholas Hale et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Fast and Well-Conditioned Spectral Method

(2013) Sheehan Olver et al.   SIAM REVIEW

A general framework for solving Riemann–Hilbert problems numerically

(2012) Sheehan Olver   NUMERISCHE MATHEMATIK

$\mathcal{O}(1)$ Computation of Legendre Polynomials and Gauss--Legendre Nodes and Weights for Parallel Computing

(2012) I. Bogaert et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Asymptotics of Orthogonal Polynomials for a Weight with a Jump on [−1,1]

(2010) A. Foulquié Moreno et al.   CONSTRUCTIVE APPROXIMATION

Accuracy and Stability of Computing High-order Derivatives of Analytic Functions by Cauchy Integrals

(2010) Folkmar Bornemann   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

On the Fourier Extension of Nonperiodic Functions

(2010) Daan Huybrechs   SIAM JOURNAL ON NUMERICAL ANALYSIS

On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials

(2009) A. Foulquié Moreno et al.   JOURNAL OF APPROXIMATION THEORY

Painlevé V and time-dependent Jacobi polynomials

(2009) Estelle Basor et al.   Journal of Physics A-Mathematical and Theoretical