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backward Euler method
Numerical method for solving differential equations
Also known as Euler backward method · backward Euler's method · implicit Euler method
- Instance of
Overview
All data
13 statements · 8% with external sources · numbers in brackets are citations
- Defining formula
y_{n+1}=y_{n}+h f\left(t_{n+1}, y_{n+1}\right)
- Has characteristic
- L-stability
- number of steps quantity: 1
- order of convergence numeric value: 1 · characteristic of: global error
- number of stages quantity: 1
- Followed by
- trapezoidal rule criterion used: number of steps
- Butcher tableau
\begin{array}{l|l}1 & 1 \\ \hline & 1 \end{array}
On other databases
3 identifiers linking backward Euler method across the web's reference databases