About optimal loss function for training physics-informed neural networks under respecting causality. - Vasiliy A. Es'kin; Danil V. Davydov; Ekaterina D. Egorova; Alexey O. Malkhanov; Mikhail A. Akhukov; Mikhail E. Smorkalov (CoRR, 2023)

Catenary and Mercator projection. - Mikhail A. Akhukov; Vasiliy A. Es'kin; Mikhail E. Smorkalov (CoRR, 2024)

Separable Physics-Informed Neural Networks for the solution of elasticity problems. - Vasiliy A. Es'kin; Danil V. Davydov; Julia V. Gur'eva; Alexey O. Malkhanov; Mikhail E. Smorkalov (CoRR, 2024)

About rectified sigmoid function for enhancing the accuracy of Physics-Informed Neural Networks. - Vasiliy A. Es'kin; Alexey O. Malkhanov; Mikhail E. Smorkalov (CoRR, 2024)

Are two hidden layers still enough for the physics-informed neural networks? - Vasiliy A. Es'kin; Alexey O. Malkhanov; Mikhail E. Smorkalov (J. Comput. Phys., 2025)

Physics-informed neural networks and neural operators for a study of EUV electromagnetic wave diffraction from a lithography mask. - Vasiliy A. Es'kin; Egor V. Ivanov (CoRR, 2025)