explicit Runge–Kutta methods
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:application |
initial value problems
|
| gptkbp:developedBy |
gptkb:Carl_Runge
gptkb:Martin_Kutta |
| gptkbp:example |
gptkb:Euler's_method
gptkb:classical_fourth-order_Runge–Kutta_method |
| gptkbp:feature |
do not require solving algebraic equations at each step
|
| gptkbp:field |
applied mathematics
numerical analysis |
| gptkbp:firstPublished |
1895
|
| https://www.w3.org/2000/01/rdf-schema#label |
explicit Runge–Kutta methods
|
| gptkbp:notation |
gptkb:Butcher_tableau
|
| gptkbp:property |
single-step method
explicit formula for next value order of accuracy depends on number of stages stability depends on step size |
| gptkbp:relatedTo |
gptkb:implicit_Runge–Kutta_methods
|
| gptkbp:subclassOf |
gptkb:Runge–Kutta_methods
|
| gptkbp:usedFor |
solving ordinary differential equations
|
| gptkbp:bfsParent |
gptkb:Runge–Kutta_method
|
| gptkbp:bfsLayer |
7
|