most citedError analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs

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math.NA2021★ 1 cited

Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs

Tim De Ryck, Siddhartha Mishra

Physics informed neural networks approximate solutions of PDEs by minimizing pointwise residuals. We derive rigorous bounds on the error, incurred by PINNs in approximating the sol…