Implicit Runge–Kutta methods
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Numerical method
|
| gptkbp:advantage |
Better stability properties
|
| gptkbp:application |
gptkb:Physics
Chemistry Engineering Biology |
| 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 |
Numerical analysis
|
| gptkbp:property |
A-stability
L-stability (for some methods) |
| gptkbp:relatedTo |
gptkb:Butcher_tableau
|
| gptkbp:requires |
Solving nonlinear equations at each step
|
| gptkbp:subclassOf |
gptkb:Runge–Kutta_methods
|
| gptkbp:usedFor |
Solving ordinary differential equations
Stiff differential equations |
| gptkbp:bfsParent |
gptkb:Explicit_Runge–Kutta_methods
|
| gptkbp:bfsLayer |
8
|