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An Evaluation of Adaptive Latin Hypercube Sampling (ALHS) for PINNs in Solving 1D Convection–Diffusion Problems
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An Evaluation of Adaptive Latin Hypercube Sampling (ALHS) for PINNs in Solving 1D Convection–Diffusion Problems
Solving the convection-diffusion equation with high Peclet numbers presents a significant challenge for Physics-Informed Neural Networks (PINNs) due to the formation of sharp boundary layers. Traditional static sampling strategies often struggle with numerical instability and physical inconsisten...
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