Multivariate rational approximation of functions with curves of singularities

N Boullé, A Herremans, D Huybrechs - SIAM Journal on Scientific Computing, 2024 - SIAM
Functions with singularities are notoriously difficult to approximate with conventional
approximation schemes. In computational applications, they are often resolved with low …

Fast barycentric rational interpolations for complex functions with some singularities

S Yang, S Xiang - Calcolo, 2023 - Springer
Based on Cauchy's integral formula and conformal maps, this paper presents a new method
for constructing barycentric rational interpolation formulae for complex functions, which may …

[HTML][HTML] A barycentric trigonometric Hermite interpolant via an iterative approach

G Elefante - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this work we construct an Hermite interpolant starting from basis functions that satisfy a
Lagrange property. In fact, we extend and generalise an iterative approach, introduced by …