public class EulerIntegrator extends RungeKuttaIntegrator
The Euler algorithm is the simplest one that can be used to
integrate ordinary differential equations. It is a simple inversion
of the forward difference expression :
f'=(f(t+h)-f(t))/h
which leads to
f(t+h)=f(t)+hf'
. The interpolation scheme used for
dense output is the linear scheme already used for integration.
This algorithm looks cheap because it needs only one function evaluation per step. However, as it uses linear estimates, it needs very small steps to achieve high accuracy, and small steps lead to numerical errors and instabilities.
This algorithm is almost never used and has been included in this package only as a comparison reference for more useful integrators.
MidpointIntegrator
,
ClassicalRungeKuttaIntegrator
,
GillIntegrator
,
ThreeEighthesIntegrator
,
LutherIntegrator
isLastStep, resetOccurred, stepHandlers, stepSize, stepStart
Constructor and Description |
---|
EulerIntegrator(double step)
Simple constructor.
|
integrate, singleStep
acceptStep, addEventHandler, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCounter, getCurrentSignedStepsize, getCurrentStepStart, getEvaluations, getEvaluationsCounter, getEventHandlers, getExpandable, getMaxEvaluations, getName, getStepHandlers, initIntegration, integrate, sanityChecks, setEquations, setMaxEvaluations, setStateInitialized
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