High-resolution and multidimensional bifurcation diagrams in the form of point clouds as a difficult computational problem for modern parallel and massively parallel computing technologies

Abstract:

The paper compares three different approaches and technologies that have been used in real computing tasks. They compared sequential, parallel, and massively parallel algorithms to calculate two-dimensional and three-dimensional bifurcation diagrams for an electric arc model. Three-dimensional bifurcation diagrams shown in this paper are understood as a cloud of different-coloured points in the space of R,L,C parameters. When making calculations, not only the performance of the developed algorithms was compared, but also, which is very important, the workload incurred for the implementation of each of them. Parallel calculations were implemented using the OpenMP library and CPUs. Massively parallel calculations were implemented using Nvidia CUDA technology and GPU processors.