This book covers the fundamentals as well as contemporary developments of numerical simulation. The simulation applications in macro as well as micro electrodynamics and scientific applications are also presented. Latest numerical methodologies, as well as software, the most precise and enhanced in treating the physical phenomena, are applied for the purpose of explanation of the investigated processes in terms of numbers. Since it plays a significant role in theoretical research, this book regarding simulation of several physical procedures will serve as a useful tool for researchers as well as scientists, applied mathematicians, and post-graduate students.