| | Name | Description |
|---|
 | _a | Central coefficients of the Runge-Kutta scheme. See [1], page 135. |
| _a_interpolation | Additional central coefficients of the Runge-Kutta scheme optionally needed for interpolation. |
 | _absoluteTolerances |
The absolute tolerance. This is either an array of length 1 (in this case the absolute tolerances of all y values
are equal), or an array of the same size than y.
|
| _b | High order bottom side coefficients of the Runge-Kutta scheme. |
| _bhml | Differences between high order and low order bottom side coefficients of the Runge-Kutta scheme (for error estimation). |
| _c | Left side coefficients of the Runge-Kutta scheme (partitions of the step). |
| _c_interpolation |
Additional left side coefficients of the Runge-Kutta scheme optionally needed for dense output (partitions of the step).
|
| _f |
The ODE function. First argument is the independent variable (usually named x or t),
2nd argument are the current y values, and the 3rd argument adopts the derivatives dy/dx calculated by this function.
|
| _interpolationCoefficients |
The interpolation coefficients. Note that zero to third order is calculated from the y and slopes at the start and end of the step.
Thus, this coefficients only have to cover the orders 4.. n of the interpolation.
|
| _isDenseOutputPrepared | True if dense output was prepared, i.e. the array _rcont contains valid values. |
| _isFirstSameAsLastMethod | True if the last point is the same as first point (FSAL property). This is for instance true for the Dormand-Prince (RK547M) method. |
| _isKnextEvaluated |
Designates whether the slope at y_current was evaluated (for non-FSAL methods).
For FSAL methods, this value is meaningless, because the last stage always contains k_next after a step.
|
| _k | Array of derivatives at the different stages. |
| _numberOfAdditionalStagesForDenseOutput | The number of additional stages for dense output of high order. |
| _numberOfNonstiffEvaluationResults | The number of evaluation results in ThrowIfStiffnessDetected, for which the result was false (non-stiff).
This counter is re-set to zero if a stiff condition is detected.
|
| _numberOfRejectedStiffnessDetectionCalls |
The number of rejected stiffness detection calls after the last stiffness evaluation.
|
| _numberOfStages | The number of stages of this method. |
| _numberOfStiffEvaluationResults | The number of evaluation results in ThrowIfStiffnessDetected, for which the result was true (stiff).
This counter is re-set to zero if a non-stiff condition is detected.
|
| _order | Order of the Runge-Kutta method (the highest order of the embedded pair). |
| _rcont | Contains the precalcuated polynomial coefficients for dense output. |
| _relativeTolerances |
The relativ tolerances. This is either an array of length 1 (in this case the relative tolerances of all y values
are equal), or an array of the same size than y.
|
| _stepSize_current | Step size of the current step. |
| _stepSize_previous | Step size of the previous step. |
| _stepSizeFilter |
The step size filter.
|
| _stiffnessDetectionEveryNumberOfSteps |
Number of (successfull) steps between calls to stiffness detection. If this is null, then stiffness detection is disabled.
|
| _stiffnessDetectionThresholdValueSquared |
Squared value of the stiffness detection threshold.
|
| _wasSolutionPointEvaluated | True if at least one solution point was evaluated. |
| _x_current | X value at the end of the current step. |
| _x_previous | X value at the begin of the current step. |
| _y_current | Y values at the end of the current step. |
| _y_current_LocalError |
Contains the array of local errors.
|
| _y_previous | Y values at the beginning of the current step. |
| _y_stages | Array to accomodate y for calculation of the stages.
At the end of EvaluateNextSolutionPoint(Double), this array usually contains the y
of the last stage (for non-FSAL methods), or the y of the stage before the last stage (FSAL methods).
|
 | StepSize_MaxFactor | Maximum factor by which the step size can be increased. |
| StepSize_MinFactor | Minimum factor by which the step size can be decreased. |
| StepSize_SafetyFactor | Safety factor for the step size. Without this factor, the control loop for step size
would try to set the stepsize so that the relative error would be around 1. But then, if the relative error is slighly above 1, this
step would be rejected. By having a safety factor of less than 1 we get the relative error safely below 1. |
Fields