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Dieu Xuan Bui

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Preprint Sep 2026

Direct and Indirect Physics-Informed Neural Networks for Dirichlet Boundary Control of Semilinear Parabolic Equations: A Conditional Error Analysis

This work develops an error estimation framework that decomposes the total error into approximation, optimization, quadrature, and soft boundary/terminal-constraint contributions and derives a quantitative linearized stability estimate and a conditional local nonlinear residual-to-error estimate.

Q. Nguyen, T. Mai, Dieu Xuan Bui · 0 citations

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