Numerical simulations

Numerical simulations are computer-based methods used to model and analyze complex systems or phenomena by breaking them down into smaller, manageable calculations. These simulations use mathematical equations to approximate how a system behaves under different conditions, enabling scientists and engineers to predict outcomes without physical experiments. Examples include weather forecasting, designing airplanes, or simulating earthquake effects. They help us understand and visualize processes that are too large, small, fast, or dangerous to study directly, making them powerful tools for decision-making and innovation.