Spectral-Refiner: Fine-Tuning of Accurate Spatiotemporal Neural Operator for Turbulent Flows

S Cao, F Brarda, R Li, Y Xi - arXiv preprint arXiv:2405.17211, 2024 - arxiv.org
Recent advancements in operator-type neural networks have shown promising results in
approximating the solutions of spatiotemporal Partial Differential Equations (PDEs) …

Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy

M Bachmayr, W Dahmen, M Oster - arXiv preprint arXiv:2405.20065, 2024 - arxiv.org
This paper is about learning the parameter-to-solution map for systems of partial differential
equations (PDEs) that depend on a potentially large number of parameters covering all PDE …