Convergent difference schemes in the analysis of network-like hydrodynamic processes

Title	Convergent difference schemes in the analysis of network-like hydrodynamic processes
Authors	I. V. Guselnikova¹ ¹Peter the Great St. Petersburg Polytechnic University
Annotation	The principles of constructing convergent difference schemes in the analysis of boundary and initial boundary value problems for the Navier-Stokes-Osin system considered in the Sobolev space of vector functions with carriers in a three- dimensional network-like domain are indicated.
Keywords	Network-like domain, boundary value problem, stability and convergence of the difference scheme
Citation	Guselnikova I. V. ''Convergent difference schemes in the analysis of network-like hydrodynamic processes'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 64-68. Available at: https://conf.svmo.ru/files/2026/papers/paper75.pdf. - Date of access: 25.09.2026.