math.NA · 2026-06-30 · No. 39

Numerical Analysis, 2026-06-30.

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

    McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation

    Jiwei Jia, Xinliang Liu, Juntao Wang, Jinchao Xu

    math.NA · cs.AI · math-ph

    Solving heterogeneous Helmholtz equations at high wavenumbers remains challenging because the discretized operator is indefinite, pollution degrades phase accuracy, and scalar coarse-grid correction can discard the local phase and propagation-direction information carried by oscillatory errors. We propose Multi-channel Multigrid (McMg), a learned phase-space multigrid preconditioner for heterogeneous Helmholtz equations. Rather than...

    arxiv.org/abs/2606.30495 · PDF

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