math.NA · 2026-10-02 · No. 131

Numerical Analysis, 2026-10-02.

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

    Kolmogorov-Arnold Networks for Free-Boundary Partial Differential Equations

    Tan Phuong Dong Le

    math.NA · cs.LG

    We study free-boundary problems within a physics-informed framework using Kolmogorov-Arnold network (KAN) approximations. The proposed approach incorporates obstacle constraints, partial differential equation (PDE) inequalities, complementarity conditions, and boundary conditions through residual-based loss functions. We consider a linear elliptic obstacle problem, a nonlinear $p$-Laplacian obstacle problem, and a time-dependent one-phase...

    arxiv.org/abs/2610.02084 · PDF

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