Methods of successive approximation

Mathematical methods relating to successive approximation include the following:


 * Babylonian method, for finding square roots of numbers
 * Fixed-point iteration
 * Means of finding zeros of functions:
 * Halley's method
 * Newton's method
 * Differential-equation matters:
 * Picard–Lindelöf theorem, on existence of solutions of differential equations
 * Runge–Kutta methods, for numerical solution of differential equations