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causality-aware training 1partial differential equations 1physics-informed neural networks 1shock waves 1spectral methods 1stiff problems 1

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cs.LG2026

SPARC-Net: A Spectral, Causality-Aware, and Hard-Constrained Physics-Informed Architecture for Stiff and Shock-Dominated Partial Differential Equations

Divyavardhan Singh, Dimple Sonone, Hammad Mohammad +1

The paper introduces SPARC-Net, a physics-informed neural network architecture that combines spectral encoding, causality-aware training, and hard constraints to improve the soluti…