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This repository implements a new analytical framework that improves thermal diffusion modeling in non-linear building materials, indicating enhanced simulation accuracy.
This repository contains the Python source code required to reproduce the numerical benchmarking, spatial convergence analysis, and physical validations accompanying the article: "Perturbative Analytical Framework for Thermal Wave Diffusion in Non-linear Building Envelopes". The provided scripts implement a frequency-domain solver based on the continuous spatial Riccati equation, extended via regular perturbation theory. This framework addresses the 64-bit floating-point overflow inherent to the standard Transfer Matrix Method (TMM) and circumvents the state-space inflation required by spatially discretized methods to model non-linear material degradation.
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Corentin Guigot (2026) studied this question.
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