math.NA · 2026-09-09 · No. 110

Numerical Analysis, 2026-09-09.

1 new papers in math.NA. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Selective boundary condition reduction via learned error gating

    Daniel Fernández, Dominik Penk, Dominik Riedelbauch

    math.NA · cs.LG

    Parametric PDEs can admit different boundary conditions with different accuracy and computational cost. We introduce a framework for learning when one reduced boundary condition can replace another: paired solutions train a neural network to estimate the resulting domain and boundary errors, and the simpler condition is used only when both predicted errors meet prescribed tolerances. We focus on singular limits in applications, in which a...

    arxiv.org/abs/2609.08461 · PDF

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