Mathematics
The Euler Method and Numerical Solution of Initial Value Problems
Quick fact
The Euler method, introduced by Leonhard Euler in 1768, is one of the oldest numerical algorithms for solving differential equations, yet it remains the basis for many modern simulation techniques. Its simplicity comes at a cost: the error per step shrinks only linearly with the step size, so achieving high accuracy requires very small steps and many iterations.
Why this is interesting
Ever wondered how your GPS predicts your future position, or how a simulation of a virus spread works? Behind many such predictions lies a math problem that can't be solved with a pencil and paper — but a simple 'guess and check' algorithm called the Euler method steps in to save the day.