Runge-Kutta methods

GPTKB entity

Statements (34)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:advantage higher accuracy than Euler method
more computationally intensive than Euler method
gptkbp:application biology
engineering
finance
physics
gptkbp:canBe adaptive
fixed step size
gptkbp:category initial value problem
gptkbp:field applied mathematics
numerical analysis
gptkbp:firstPublished 1900
gptkbp:generalizes gptkb:Euler_method
gptkbp:grapeVariety gptkb:classical_fourth-order_Runge-Kutta_method
gptkb:explicit_Runge-Kutta_method
gptkb:implicit_Runge-Kutta_method
https://www.w3.org/2000/01/rdf-schema#label Runge-Kutta methods
gptkbp:namedAfter gptkb:Carl_Runge
gptkb:Wilhelm_Kutta
gptkbp:notation gptkb:Butcher_tableau
gptkbp:order can be of any order
gptkbp:relatedTo gptkb:Butcher_tableau
gptkb:Euler_method
stability analysis
stiff equations
gptkbp:type single-step method
gptkbp:usedFor solving ordinary differential equations
gptkbp:usedIn gptkb:MATLAB
gptkb:Python_(SciPy)
software for scientific computing
gptkbp:bfsParent gptkb:ODE
gptkb:Ordinary_Differential_Equations
gptkbp:bfsLayer 6