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This project refers to extension of computing possibilities of CBDA program for computations in GPU. The program is used to calculate the beam dynamics in accelerator physics. Originally the CBDA program was written for CPU architectures. As these calculations require a large volume of computations it was decided to port the computing part of the code to GPU architectures with the use of CUDA. As result of the performed work an acceleration of up to 90 times on Tesla C1060 graphics video card has been obtained.