classical Runge-Kutta method
GPTKB entity
Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
gptkb:Runge-Kutta_method |
| gptkbp:alsoKnownAs |
gptkb:RK4
|
| gptkbp:appliesTo |
gptkb:mathematics
computational science engineering physics |
| gptkbp:category |
initial value problem solver
|
| gptkbp:citation |
gptkb:Butcher_tableau
|
| gptkbp:globalTruncationError |
O(h^4)
|
| https://www.w3.org/2000/01/rdf-schema#label |
classical Runge-Kutta method
|
| gptkbp:input |
partial differential equations
initial value step size |
| gptkbp:introduced |
gptkb:Carl_Runge
gptkb:Wilhelm_Kutta |
| gptkbp:introducedIn |
1900
|
| gptkbp:isExplicit |
true
|
| gptkbp:localTruncationError |
O(h^5)
|
| gptkbp:numberOfStages |
4
|
| gptkbp:order |
4
|
| gptkbp:output |
approximate solution
|
| gptkbp:relatedTo |
gptkb:Heun's_method
gptkb:Euler_method gptkb:Dormand-Prince_method |
| gptkbp:requires |
function evaluation
|
| gptkbp:stable |
conditionally stable
|
| gptkbp:step |
single-step method
|
| gptkbp:usedFor |
solving ordinary differential equations
|
| gptkbp:bfsParent |
gptkb:Gill's_algorithm
gptkb:Heun's_method |
| gptkbp:bfsLayer |
7
|