math.NA · 2026-08-25 · No. 95

Numerical Analysis, 2026-08-25.

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

    Inertial Manifold Neural Operator for Dissipative Time-Dependent Partial Differential Equations

    Xiaoyang Xie, Clarence W. Rowley

    math.NA · cs.LG · math.DS

    In this paper, we introduce the Inertial Manifold Neural Operator (IMNO) for solving dissipative time-dependent partial differential equations (PDEs). The long-time dynamics of such systems often exhibit an effective low-dimensional structure due to dissipation. Unlike standard neural operator architectures such as the Fourier Neural Operator (FNO), IMNO explicitly leverages the low-dimensional structure to achieve better physical...

    arxiv.org/abs/2608.23546 · PDF

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