Difference between numerical method and analysis? - Answers

Numerical methods are computational techniques used to obtain approximate solutions to mathematical problems that may be difficult or impossible to solve analytically, such as differential equations or complex integrals. In contrast, mathematical analysis focuses on the rigorous study of functions, limits, continuity, and other foundational concepts, often seeking exact solutions and proofs. While numerical methods provide practical tools for solving real-world problems, analysis provides the theoretical framework that underpins these methods. Together, they complement each other in the field of applied mathematics.