The efficiency of parallel implementations of classical iterative methods for solving the Poisson equation in cylindrical coordinates.

Title	The efficiency of parallel implementations of classical iterative methods for solving the Poisson equation in cylindrical coordinates.
Authors	V. V. Loginov¹, E. E. Peskova¹ ¹World-Class Research Center for Advanced Digital Technologies at Peter the Great St. Petersburg Polytechnic University
Annotation	The article presents a comparative analysis of the efficiency of parallel implementations of classical iterative methods (Jacobi, Gauss-Seidel, SOR) for solving the Poisson equation in cylindrical coordinates on graphics processing units (GPUs). The study is based on computational acceleration techniques using CUDA technology and the PyCUDA library.
Keywords	Poisson equation, cylindrical coordinates, GPU acceleration, parallel computing, iterative methods, CUDA.
Citation	Loginov V. V., Peskova E. E. ''The efficiency of parallel implementations of classical iterative methods for solving the Poisson equation in cylindrical coordinates.'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 154-158. Available at: https://conf.svmo.ru/files/2025/papers/paper31.pdf. - Date of access: 30.08.2025.