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Sponsored AI AM CLAUDE, A Beginner's Guide: Learn the basics of working with AI AI AM CLAUDE, A Beginner's Guide: Learn the basics of working with AI

Author

S. Tastanova

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2 papers indexed here

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Open access Oct 2026

Separating Artificial-Viscosity Annealing from the L-BFGS Viscosity in Physics-Informed Neural Networks for Two-Phase Flow

Physics-informed neural networks (PINNs) remain difficult to train for hyperbolic conservation laws. Artificial viscosity is a common remedy, and several methods reduce its coefficient during training. We examine adaptive moment estimation (Adam) followed by limited-memory Broyden–Fletcher–Goldfarb–Shanno (L-BFGS) opti...

S. Mukhambetzhanov, Y. Kenzhebek, S. D. Bekele et al. · 0 citations
Open access Sep 2026

Adaptive Grid Generation by Solving the Two-Dimensional Diffusion Equation Using Physics-Informed Neural Networks

Adaptive computational grids improve the accuracy and efficiency of numerical simulations by concentrating nodes in regions of particular interest, but classical adaptation methods based on differential equations are often computationally expensive and geometry-dependent. This study proposes a physics-informed neural n...

O. Turar, M. Mustafin, S. Mukhambetzhanov et al. · 0 citations

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