Author

D. A. Tarkhov

2 papers indexed here

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Open access Sep 2026

Construction of a multilayer solution of the Duffing equation based on analytical modification of numerical methods

Context and relevance. The purpose of the article is to study a new approach to constructing approximate solutions of parametric differential equations. The new approach combines the analytical modification of iterative formulas of conventional numerical methods with physically informed neural networks. The new method...

I.Yu. Vandakurov, D. A. Tarkhov, S. A. Shemyakina · Modelling and Data Analysis · 0 citations

Open access Sep 2026

Embedding Physics-Informed Neural Networks into Numerical Schemes for Modeling Dynamical Systems

Context and relevance. Physics-Informed Neural Networks (PINNs) are considered a promising tool for mathematical modeling of dynamical systems described by differential equations. However, classical PINN approaches require repeated computation of high-order derivatives, which leads to significant computational costs an...

I. A. Velikorechanin, T. Lazovskaya, D. A. Tarkhov · Modelling and Data Analysis · 0 citations