3 papers
math.NA2026
Applications of QR-based Vector-Valued Rational Approximation
Simon Dirckx
Several applications of the QR-AAA algorithm, a greedy scheme for vector-valued rational approximation, are presented. The focus is on demonstrating the flexibility and practical e…
math.NA2025
An overlapping domain decomposition method based on solution-transfer operators
Simon Dirckx, Anna Yesypenko, Per-Gunnar Martinsson
An overlapping domain decomposition method is described for variable-coefficient elliptic boundary value problems on domains that can be decomposed into slabs or shells. The method…
math.NA2024
QR-based Parallel Set-Valued Approximation with Rational Functions
Simon Dirckx, Karl Meerbergen, Daan Huybrechs
In this article a fast and parallelizable algorithm for rational approximation is presented. The method, called (P)QR-AAA, is a (parallel) set-valued variant of the AAA algorithm f…