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Time integration

Implicit Runge–Kutta (RK4)

Implicit formulation of the runge–kutta (rk4). A fourth-order explicit scheme for ODE initial-value problems.

This is the implicit variant of the Runge–Kutta (RK4). RK4 evaluates the derivative at four stages per step to achieve fourth-order accuracy, balancing accuracy and cost for non-stiff ODE systems.

Best suited for

ODE systems
Dynamical systems
Orbital mechanics

Implicit Runge–Kutta (RK4) by industry

See how the implicit runge–kutta (rk4) is applied across sectors:

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