Some new aspects of rational interpolation
Mathematics of Computation
Exponential convergence of a linear rational interpolant between transformed Chebyshev points
Mathematics of Computation
Essentials of Numerical Analysis with Pocket Calculator Demonstrations
Essentials of Numerical Analysis with Pocket Calculator Demonstrations
The linear rational collocation method
Journal of Computational and Applied Mathematics
An Extension of MATLAB to Continuous Functions and Operators
SIAM Journal on Scientific Computing
A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points
SIAM Journal on Scientific Computing
Barycentric rational interpolation with no poles and high rates of approximation
Numerische Mathematik
Journal of Computational Physics
Convergence rates of derivatives of a family of barycentric rational interpolants
Applied Numerical Mathematics
On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
Journal of Computational and Applied Mathematics
Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants
SIAM Journal on Numerical Analysis
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
Numerische Mathematik
Approximation Theory and Approximation Practice (Other Titles in Applied Mathematics)
Approximation Theory and Approximation Practice (Other Titles in Applied Mathematics)
Journal of Approximation Theory
| Hi-index | 7.29 |
Well-conditioned, stable and infinitely smooth interpolation in arbitrary nodes is by no means a trivial task, even in the univariate setting considered here; already the most important case, equispaced points, is not obvious. Certain approaches have nevertheless experienced significant developments in the last decades. In this paper we review one of them, linear barycentric rational interpolation, as well as some of its applications.