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Barycentric Lagrange interpolation. (English) Zbl 1061.65006

Summary: Barycentric interpolation is a variant of Lagrange polynomial interpolation that is fast and stable. It deserves to be known as the standard method of polynomial interpolation.

MSC:

65D05 Numerical interpolation
65L10 Numerical solution of boundary value problems involving ordinary differential equations
41A05 Interpolation in approximation theory
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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