Optimization of Monte Carlo Integration for Estimating of the Pion Damping Width

This work presents algorithm and methods for numerical calculation of multidimensional collision integrals based on the Monte Carlo method. The source code was used for the calculation of the pion damping width in hot nuclear matter taking all possible pion-pion scattering modes into account. For optimization of the computation the parallel calculation algorithm is implemented in C++ programming language using OpenMP and NVIDIA CUDA technology. Calculations are performed on nodes with multicore CPUs and Intel Xeon Phi coprocessors and Nvidia Tesla K40 accelerator installed within heterogeneous cluster of the Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna.