The most basic first-order procedure for solving ordinary differential equations. In this integration scheme, we predict the next position of the particle using the previous velocity. This results in inaccuracies with larger timesteps since the solution for the timestep is a tangent to the original curve imposing the problem of energy conservation.
The semi-implicit Euler integration solves the problem of energy conservation. Here, we use the current velocity instead of the previous velocity.
Also, known as the Backward Euler method. Here, we predict the next position of the particle using the next velocity(hence implicit). Thus, achieving higher accuracy but at higher computation costs.
A popular technique used in ragdoll physics and inverse kinematics. We store the previous positions of the particles instead of the velocity and predict the next position using the current position, previous position, and the acceleration.