DOP853 (FsODE)

FsODE

Documentation for 0.0.2

DOP853 Type

Namespace: Altaxo.Calc.Ode
Assembly: AltaxoCore.Redist.dll
Base Type: RungeKuttaExplicitBase

Runge-Kutta method of 8th order of Dormand and Prince. Supports step size control, stiffness detection and dense output. If dense output is not needed, it is recommended to use RK8713M instead, which gives slighly better accuracy.

References:

[1] Hairer, Ordinary differential equations I, 2nd edition, 1993.

[2] Söderlind et al., Adaptive Time-Stepping and Computational Stability, 2003

For the coefficients see or the original Fortran version:

Constructors

Constructor	Description
`DOP853()` Full Usage: `DOP853()`

Instance members

Instance member	Description
`this.A` Full Usage: `this.A` Returns: `float[][]` Modifiers: abstract	Returns: `float[][]`
`this.A_Interpolation` Full Usage: `this.A_Interpolation` Returns: `float[][]` Modifiers: abstract	Returns: `float[][]`
`this.BH` Full Usage: `this.BH` Returns: `float[]` Modifiers: abstract	Returns: `float[]`
`this.BHML` Full Usage: `this.BHML` Returns: `float[]` Modifiers: abstract	Returns: `float[]`
`this.C` Full Usage: `this.C` Returns: `float[]` Modifiers: abstract	Returns: `float[]`
`this.C_Interpolation` Full Usage: `this.C_Interpolation` Returns: `float[]` Modifiers: abstract	Returns: `float[]`
`this.Initialize` Full Usage: `this.Initialize` Parameters: x : `float` - The initial x value. y : `float[]` - The initial y values. f : `Action<float, float[], float[]>` - Calculation of the derivatives. First argument is x value, 2nd argument are the current y values. The 3rd argument is an array that store the derivatives. Returns: `RungeKuttaExplicitBase` This instance (for a convenient way to chain this method with sequence creation). Modifiers: abstract	Initializes the Runge-Kutta method. x : `float` The initial x value. y : `float[]` The initial y values. f : `Action<float, float[], float[]>` Calculation of the derivatives. First argument is x value, 2nd argument are the current y values. The 3rd argument is an array that store the derivatives. Returns: `RungeKuttaExplicitBase` This instance (for a convenient way to chain this method with sequence creation).
`this.InterpolationCoefficients` Full Usage: `this.InterpolationCoefficients` Returns: `float[][]` Modifiers: abstract	Returns: `float[][]`
`this.NumberOfAdditionalStagesForDenseOutput` Full Usage: `this.NumberOfAdditionalStagesForDenseOutput` Returns: `int` Modifiers: abstract	Returns: `int`
`this.NumberOfStages` Full Usage: `this.NumberOfStages` Returns: `int` Modifiers: abstract	Returns: `int`
`this.Order` Full Usage: `this.Order` Returns: `int` Modifiers: abstract	Returns: `int`
`this.StiffnessDetectionThresholdValue` Full Usage: `this.StiffnessDetectionThresholdValue` Returns: `float` Modifiers: abstract	Returns: `float`