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20242026
most citedNeural network-based Godunov corrections for approximate Riemann solvers using bi-fidelity learning

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cs.CE2026

Feature tracking in physics-informed neural networks via joint optimization of nonlinear deformation manifolds: application to shocks

Akshay Thakur, Matthew Zahr

Physics-informed neural networks (PINNs) often converge to inaccurate solutions for conservation laws with shocks, because uniformly distributed collocation points undersample loca…