math.NA · 2026-07-01 · No. 40

Numerical Analysis, 2026-07-01.

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

    Domain-Decomposed Randomized Neural Networks for Partial Differential Equations in Unbounded Domains

    Haixin Wang, Haoning Dang, Fei Wang, Shimin Guo

    math.NA · cs.LG

    Partial differential equations on unbounded domains are challenging because the exterior region must be represented without excessive truncation error. Truncation-based methods often require problem-dependent artificial boundary conditions, while global spectral bases may be inefficient for localized structures, irregular geometries, or solutions with different near-field and far-field behaviors. We propose a domain-decomposed randomized...

    arxiv.org/abs/2606.31342 · PDF

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