math.NA · 2026-07-23 · No. 62

Numerical Analysis, 2026-07-23.

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

    A Structure-Adaptive Random Feature Method for High-Dimensional Elliptic PDEs

    Jiale Linghu, Hao Dong, Yangshuai Wang

    math.NA · cs.LG

    Random-feature methods reduce high-dimensional elliptic PDE collocation to linear coefficient problems, but full-dimensional trial spaces overlook lower-dimensional structure. We introduce the Hierarchical Analysis-of-Variance Random Feature Method (HA-RFM), which selects coordinate blocks using closed Sobol indices of the PDE residual, identifies oblique low-rank features from fitted-predictor gradients, and couples all retained features in...

    arxiv.org/abs/2607.19786 · PDF

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