References

L. N. Trefethen. Approximation Theory and Approximation Practice, Extended Edition (SIAM, Philadelphia, 2019). ↩¹

J. P. Boyd. Chebyshev and Fourier Spectral Methods. Second Edition (Dover, Mineola, New York, 2001). ↩¹ ↩²

C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang. Spectral Methods: Fundamentals in Single Domains (Springer, Berlin, Heidelberg, 2006). ↩¹

J. E. Marsden and M. West. Discrete mechanics and variational integrators. Acta Numerica 10, 357–514 (2001). ↩¹

C. Runge. Über empirische Funktionen und die Interpolation zwischen äquidistanten Ordinaten. Zeitschrift für Mathematik und Physik 46, 224–243 (1901). ↩¹

J. C. Mason and D. C. Handscomb. Chebyshev Polynomials (Chapman and Hall/CRC, Boca Raton, 2003). ↩¹ ↩²

R. T. Farouki. The Bernstein polynomial basis: A centennial retrospective. Computer Aided Geometric Design 29, 379–419 (2012). ↩¹ ↩²

W. Gautschi. Computational aspects of three-term recurrence relations. SIAM Review 9, 24–82 (1967). ↩¹

S. Olver, A. Townsend and G. M. Vasil. A practical framework for infinite-dimensional linear algebra. Proceedings of the JuliaCon Conferences 1, 5 (2020). ↩¹

J.-P. Berrut and L. N. Trefethen. Barycentric Lagrange Interpolation. SIAM Review 46, 501–517 (2004). ↩¹

N. J. Higham. The Numerical Stability of Barycentric Lagrange Interpolation. IMA Journal of Numerical Analysis 24, 547–556 (2004). ↩¹