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math.NA2026
A Hierarchical direct solver for Lippmann-Schwinger equations based on boundary traces
Yunhui Cai, Simon Dirckx, Joar Bagge +1
A high-order hierarchical direct solver for variable-media scattering in two dimensions is presented. Standard discretizations for these problems produce dense linear systems that…
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…