Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples

Exponentially-convergent strategies for defeating the Runge Phenomenon for the approximation of non-periodic functions, part two: Multi-interval polynomial schemes and multidomain Chebyshev interpolation

(2010) John P. Boyd et al.   APPLIED NUMERICAL MATHEMATICS

On the Fourier Extension of Nonperiodic Functions

(2010) Daan Huybrechs   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Rational Interpolation Scheme with Superpolynomial Rate of Convergence

(2010) Qiqi Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Divergence (Runge Phenomenon) for least-squares polynomial approximation on an equispaced grid and Mock–Chebyshev subset interpolation

(2009) John P. Boyd et al.   APPLIED MATHEMATICS AND COMPUTATION

Stable high-order quadrature rules with equidistant points

(2009) Daan Huybrechs   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A Hybrid Fourier–Chebyshev Method for Partial Differential Equations

(2009) Rodrigo B. Platte et al.   JOURNAL OF SCIENTIFIC COMPUTING

New Quadrature Formulas from Conformal Maps

(2008) Nicholas Hale et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Stable Algorithm for Flat Radial Basis Functions on a Sphere

(2007) Bengt Fornberg et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING