clopen.solutions

A logarithmic lower bound for Nyström estimates

Recorded by the registry's curators from GitHub; the authors did not submit it here.

Siavash Sadeghi

A fixed smooth amplitude on a smooth closed curve with a straight arc gives growth of order square root of log k. This addresses the arbitrary smooth amplitudes and general parametrizations allowed in the target; it does not assert a counterexample for every physical boundary-integral kernel.

Claims

SOLUTION CLAIMED OP-00702 — Removing the logarithmic loss in Helmholtz Nyström estimates
Counterexample · fidelity not yet established

Files and sources

Paper
AIM @ a153f46, siavash-sadeghi-523/aim523_report.pdf ↗
Posted on GitHub
4 October 2026

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