**Abstract**

This chapter is focused on creation, accuracy, and simulation of two-parameter control of a mathematical model of motion of aircraft in a flying simulator. We are discussing many of the important advances in applied aircraft modeling. Modeling on various computer architectures (central, distributed, parallel) has an impact on a structure of a mathematical model of aircraft. An important part is the way of description of a numerical method and its accuracy, use of distributed memory system, and shared memory system are presented in the chapter. Motivation of this research is implementation of the general-purpose message passing interface and graphics processing units as inexpensive arithmeticprocessing units bring a relevant amount of computing power to desktop personal computers. The chapter is focused on exploitation of parallel techniques of simulation features, computation time of parallel methods of implementation, and improved simulation of a continuous mathematical model of aircraft motion in a flying simulator. The use and application of modeling methods and parallel simulation techniques determine the structure of the mathematical model used in the flying simulator. The effectiveness of our solution is confirmed by providing simulation results obtained by two-parameter control of the mathematical model of aircraft motion.

**Keywords:** mathematical model, block structured model, message passing interface, parallel architecture of modeling, graphics processing unit
