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Reduce FMMs for PDE systems - #338

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alexfikl:reduce-fmm
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inducer:mainfrom
alexfikl:reduce-fmm

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@alexfikl

@alexfikl alexfikl commented Nov 6, 2026 •

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This is another chunk of #195. It adds the syzygy-based factorization of IntG systems that should reduce the number of FMMs.

TODO:

  • Actually understand the algorithm.
    • It seems like sometimes it can fail. Would be nice to figure that out.
  • Add a bunch of tests.
  • See if anything can be moved out to sumpy or pymbolic.

ROADMAP:

cc: @isuruf
xref: #195

Co-authored-by: Alexandru Fikl <alexfikl@gmail.com>
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