output
20152024
most citedSpectrally resolved resonant propulsion of dielectric microspheres

48 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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2 papers · 1 filter

math.NA2024★ 7 cited

Are Two Hidden Layers Still Enough for the Physics-Informed Neural Networks?

Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov

The article discusses the development of various methods and techniques for initializing and training neural networks with a single hidden layer, as well as training a separable ph…

math.NA2023★ 5 cited

About optimal loss function for training physics-informed neural networks under respecting causality

Vasiliy A. Es'kin, Danil V. Davydov, Ekaterina D. Egorova +3

A method is presented that allows to reduce a problem described by differential equations with initial and boundary conditions to the problem described only by differential equatio…