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Paper · arXiv

Extended pseudo-spectral physics-informed neural networks for phase-field models

Phase-field models play a central role in the continuum description of phase separation, in which the bulk free-energy density and the interfacial thickness parameter determine pattern formation and microstructural evolution. In practice, these constitutive quantities are rarely known a priori and must be inferred from limited dynamical observations. In this work, an extended pseudo-spectral physics-informed neural network (ESPINN) framework is developed for the inverse identification of phase-field models from transient snapshot data. It enables the simultaneous recovery of both the bulk chemical potential and unknown gradient coefficients. Numerical experiments on the one-dimensional Ca...

AuthorsCallum Marsh, Radek Erban, Andreas Munch
Primary categoryq-bio.QM
Published23 June 2026
Last updated at source23 June 2026
q-bio.QMcs.LGmath.NAphysics.bio-ph
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