Carl Runge

Carl Runge was a mathematician known for developing numerical methods to approximate solutions of differential equations—mathematical expressions describing how quantities change over time or space. His work enables scientists and engineers to predict complex systems like planetary motion, heat transfer, and electrical circuits when exact solutions are difficult or impossible to find. By creating algorithms that break complicated equations into manageable steps, Runge's methods make it possible to simulate and analyze real-world phenomena with high precision, forming a foundational part of modern computational science.