Simulation Sofware for Computational Modeling and Simulation

Abstract

When discussing the fundamental concepts of modeling continuous-time and discrete- time real-world systems in Chap. 1 it was noted that an accurate mathematical model is necessary for the use of computer simulation, which is focused on a better and/or deeper understanding of the dynamic behavior of real-world systems. The complexity of man-made systems in engineering and science, as well as the complexity of systems in biology, medicine, and nature, mostly do not allow closed analytical solutions for all the sets of linear and/or nonlinear mathematical equations as they have been outlined in Chap. 2 to describe real-world systems. Assuming that the model has successfully been described, meaning the realworld system is represented in terms of differential equations, partial differential equations, state-space equations, difference equations, queues, Petri-nets, etc., a solution of which can be obtained based on computational simulation. Using computers for solving the equations that describe real-world systems in an effective and sufficient way, numerical integration methods are of importance. This is why, for a number of years, considerable effort has been devoted to the development of simulation software for continuous-time and discrete-time systems.