Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:accuracy |
first-order
|
| gptkbp:application |
biology
economics engineering physics |
| gptkbp:category |
finite difference method
|
| gptkbp:field |
gptkb:mathematics
numerical analysis |
| gptkbp:form |
y_{n+1} = y_n + h f(x_n, y_n)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's method
|
| gptkbp:input |
initial value problem
|
| gptkbp:introducedIn |
1768
|
| gptkbp:limitation |
numerical instability
low accuracy |
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:output |
approximate solution
|
| gptkbp:relatedTo |
gptkb:Runge-Kutta_methods
gptkb:Heun's_method gptkb:improved_Euler's_method |
| gptkbp:step |
h
|
| gptkbp:supportsAlgorithm |
explicit method
|
| gptkbp:type |
first-order method
|
| gptkbp:usedFor |
solving ordinary differential equations
|
| gptkbp:bfsParent |
gptkb:Runge–Kutta_methods
gptkb:ODE gptkb:Ordinary_Differential_Equations |
| gptkbp:bfsLayer |
6
|