Computer simulation of systems has become an important tool in scientific research, mathematics, physics, and engineering design, including the simulation of systems through the motion of their constituent particles. Computer simulations reproduce the behavior of a system using a mathematical model. Compuer simulations have become a useful tool for the mathematical modeling of many natural systems in physics (computational physics), astrophysics, climatology, chemistry and biology, human systems in economics, psychology, social science, and engineering. The simulation of a system is represented as the running of the system's model. It can be used to explore and gain new insights into new technology and to estimate the performance of systems too complex for analytical solutions. A particle system is a technique in-game physics, motion graphics, and computer graphics that uses a large number of very small sprites, 3D models, or other graphic objects to simulate certain kind of "fuzzy" phenomena, which are otherwise very hard to reproduce with conventional rendering techniques - usually highly chaotic systems, natural phenomena, or processes caused by chemical reactions. This book is planned to support coursework in high-energy-density physics, to congregate the needs of latest researchers in this field, and also to provide as a reference on the fundamentals.