Euler method
An explicit, first-order method for numerically solving ordinary differential equations
Also known as forward Euler method · Euler's method
- Instance of
Overview
All data
22 statements · 9% with external sources · numbers in brackets are citations
- Defining formula
y_{n+1}=y_{n}+h f(t_n, y_n)\begin{cases}U_0 = v \\ U_{n+1} = U_n + \tau f(t_n, U_n) & n = 0, \dotsc, N-1\end{cases}
- Has characteristic
- number of stages quantity: 1
- order of convergence relative to: step size · numeric value: 1 · characteristic of: global error
- number of steps quantity: 1
- Followed by
- Linear multistep method criterion used: number of steps
- Butcher tableau
\begin{array}{c|c}0 & 0 \\ \hline & 1 \\ \end{array}
On other databases
8 identifiers linking Euler method across the web's reference databases