Numerical Methods
Definition
Numerical methods are techniques used to approximate solutions to mathematical problems when exact solutions are difficult or impossible to find analytically. These methods involve using algorithms, computations, and iterative processes to obtain numerical approximations.
Analogy
Consider numerical methods as using calculators or computers to solve complex math problems. Just like how you rely on technology when faced with challenging calculations, numerical methods provide us with tools to find approximate solutions when traditional methods fall short.
Related terms
Newton's Method: An iterative method for finding the roots of a function by repeatedly improving an initial guess.
Euler's Method: A numerical method used to approximate solutions to ordinary differential equations.
Trapezoidal Rule: A numerical integration technique that approximates the area under a curve by dividing it into trapezoids.
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