Numerical methods provide approximations that are useful for solving problems in engineering and sciences. They can be used for structural analysis, traffic simulations, weather prediction, analyzing groundwater and pollutant movement, and estimating water flow. Numerical methods allow engineers to create mathematical models of systems, solve those models using computer programs, and check the results to predict behavior. They are applied to calculate loads on structures, collision avoidance in traffic, temperature and precipitation predictions, and tracking groundwater movement.