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numerical-pde-solvers

topic1 events
papersTODAY 04:00 UTC

Attention-Based Flux Scheme Targets Spurious Oscillations in Finite-Volume Solvers

A new arXiv preprint proposes a conservative finite-volume method on fixed grids in which an attention mechanism selects upstream information to build the numerical flux. The scheme is conditioned on the CFL constraint so that a shock can propagate across multiple cells in a single update without being smeared or broken. The work sits at the intersection of numerical PDE solvers and machine learning attention architectures.

attention/numerical-methods/simulation/arxiv