1 citations · 1 across the 4 of their papers we have counts for
4 papers
Function Approximation in Numerically Rank-Deficient Bases
Astrid Herremans, Daan Huybrechs
We study linear function approximation in a finite basis under finite-precision arithmetic. In a highly non-orthogonal basis, certain directions are only weakly represented, so tha…
Multivariate rational approximation of functions with curves of singularities
Nicolas Boullé, Astrid Herremans, Daan Huybrechs
Functions with singularities are notoriously difficult to approximate with conventional approximation schemes. In computational applications, they are often resolved with low-order…
Efficient Function Approximation in Enriched Approximation Spaces
Astrid Herremans, Daan Huybrechs
An enriched approximation space is the span of a conventional basis with a few extra functions included, for example to capture known features of the solution to a computational pr…
Resolution of singularities by rational functions
Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
Results on the rational approximation of functions containing singularities are presented. We build further on the ''lightning method'', recently proposed by Trefethen and collabor…