Numerical Methods
Numerical methods are a collection of algorithms used to find approximate numerical solutions to mathematical problems that are difficult or impossible to solve analytically. Instead of deriving an exact symbolic formula, these techniques employ iterative arithmetic operations, typically performed by a computer, to progressively refine an estimate until it reaches a desired level of accuracy. This practical approach is fundamental to modern science and engineering, enabling the solution of complex real-world problems involving differential equations, optimization, large systems of linear equations, and integration.
- Introduction to Numerical Methods