most citedAcceleration strategy of source iteration method for the stationary phonon Boltzmann transport equation

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stat.ML2026

Guided Flow Matching for Forward and Inverse PDE Problems with Sparse Observations: Algorithm and Theory

Xifeng Zhang, Jin Zhao

Reconstructing PDE solutions from sparse observations is a core challenge in scientific computing. We present FM4PDE, a flow-matching generative framework that learns the joint dis…