==> Newton-Raphson method. it is a iterative process follows a set guideline to approximate one root, considering the function, its derivative, and an initial x-value.
The Newton-Raphson method uses an iterative process to approach one root of a function.The specific root that the process locates depends on the initial, arbitrarily chosen x-value.
and one good example is https://gateoverflow.in/2627/gate1995-2-15
==>Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the well-known routine called the Euler Method, used in temporal discretization for the approximate solutions of ordinary differential equations
==>Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.
==>Simpson's rule is a Newton-cotes formula for approximating the integral of a function using quadratic polynomialhttp://mathworld.wolfram.com/SimpsonsRule.html