math.NA · 2026-06-11 · No. 20

Numerical Analysis, 2026-06-11.

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

    Adjoint Method versus Physics-Informed Neural Networks in PDE-Constrained Inverse Problems

    Zhen Zhang, Alessandro Alla, George Em Karniadakis

    math.NA · cs.LG

    Inverse problems governed by partial differential equations (PDEs) are central to computational mechanics and are commonly solved by adjoint-based optimization, while physics-informed neural networks (PINNs) have emerged as a flexible alternative. Their relative performance remains difficult to assess because the two approaches are often compared under different formulations, parameterizations, optimizers, and regularization choices. We...

    arxiv.org/abs/2606.12337 · PDF

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