implicit Runge–Kutta methods
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:advantage |
better stability properties
|
| gptkbp:contrastsWith |
gptkb:explicit_Runge–Kutta_methods
|
| gptkbp:example |
gptkb:Gauss–Legendre_methods
gptkb:Lobatto_methods gptkb:Radau_methods |
| gptkbp:feature |
implicit equations for stage values
|
| https://www.w3.org/2000/01/rdf-schema#label |
implicit Runge–Kutta methods
|
| gptkbp:namedAfter |
gptkb:Carl_Runge
gptkb:Martin_Kutta |
| gptkbp:originatedIn |
gptkb:Butcher_tableau
|
| gptkbp:property |
A-stability
L-stability (for some methods) |
| gptkbp:requires |
solving nonlinear equations at each step
|
| gptkbp:subclassOf |
gptkb:Runge–Kutta_methods
|
| gptkbp:usedFor |
solving ordinary differential equations
|
| gptkbp:usedIn |
stiff differential equations
|
| gptkbp:bfsParent |
gptkb:Runge–Kutta_method
|
| gptkbp:bfsLayer |
7
|