Semi-implicit Euler method

The semi-implicit Euler method, also called symplectic Euler, semi-explicit Euler, Euler-Cromer and Newton-Størmer-Verlet, is a modification of the Euler method for solving Hamilton's equations, a system of ordinary differential equations that arises in classical mechanics. The lead states that it is a symplectic integrator and hence yields better results than the standard Euler method. The many alternative names reflect how often the same simple scheme was rediscovered in different corners of physics and computing, and readers will meet whichever name their own field prefers.