public abstract class RungeKuttaIntegrator extends AbstractIntegrator
These methods are explicit Runge-Kutta methods, their Butcher arrays are as follows :
0 | c2 | a21 c3 | a31 a32 ... | ... cs | as1 as2 ... ass-1 |-------------------------- | b1 b2 ... bs-1 bs
EulerIntegrator
,
ClassicalRungeKuttaIntegrator
,
GillIntegrator
,
MidpointIntegrator
isLastStep, resetOccurred, stepHandlers, stepSize, stepStart
Modifier | Constructor and Description |
---|---|
protected |
RungeKuttaIntegrator(String name,
double[] c,
double[][] a,
double[] b,
org.apache.commons.math.ode.nonstiff.RungeKuttaStepInterpolator prototype,
double step)
Simple constructor.
|
Modifier and Type | Method and Description |
---|---|
double |
integrate(FirstOrderDifferentialEquations equations,
double t0,
double[] y0,
double t,
double[] y)
Integrate the differential equations up to the given time.
|
acceptStep, addEndTimeChecker, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getCurrentStepStart, getEvaluations, getEventHandlers, getMaxEvaluations, getName, getStepHandlers, requiresDenseOutput, resetEvaluations, sanityChecks, setEquations, setMaxEvaluations, setStateInitialized
protected RungeKuttaIntegrator(String name, double[] c, double[][] a, double[] b, org.apache.commons.math.ode.nonstiff.RungeKuttaStepInterpolator prototype, double step)
name
- name of the methodc
- time steps from Butcher array (without the first zero)a
- internal weights from Butcher array (without the first empty row)b
- propagation weights for the high order method from Butcher arrayprototype
- prototype of the step interpolator to usestep
- integration steppublic double integrate(FirstOrderDifferentialEquations equations, double t0, double[] y0, double t, double[] y) throws DerivativeException, IntegratorException
This method solves an Initial Value Problem (IVP).
Since this method stores some internal state variables made
available in its public interface during integration (ODEIntegrator.getCurrentSignedStepsize()
), it is not thread-safe.
equations
- differential equations to integratet0
- initial timey0
- initial value of the state vector at t0t
- target time for the integration
(can be set to a value smaller than t0
for backward integration)y
- placeholder where to put the state vector at each successful
step (and hence at the end of integration), can be the same object as y0EventHandler
stops it at some point.DerivativeException
- this exception is propagated to the caller if
the underlying user function triggers oneIntegratorException
- if the integrator cannot perform integrationCopyright © 2003–2018. All rights reserved.