Solving problems involving symptoms that have a non-linear response requires many iterations.

In a very simple example below we see that a stone thrown with a high force hits the water's surface — and takes few "iterations" before being submerged. In simulation, many iterations are often needed before reaching the desired solution.

Mathematically, the Newton-Raphson method is nothing but a numerical algorithm to find the roots of a function with successively better approximations.

Lecture

Let us see in this lecture video how we use this algorithm to solve our simulation problems: