RungeKuttaAlgorithm Class |
The basic Runge-Kutta integration algorithm used by the integrators, it's Butcher Tableau, and the derivative information computed during integration.
y[n+1] = y[n] + h * Sum(i=0 to s){ b[i]*k[i] }
k[i] = f(t[n] + c[i]*h, y[n] + Sum(j=0 to i-1){ a[i,j] * k[j] } )
Inheritance HierarchyNamespace: AGI.Foundation.NumericalMethods.Advanced
Assembly: AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 24.3.420.0 (24.3.420.0)
SyntaxThe RungeKuttaAlgorithm type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | RungeKuttaAlgorithm(RungeKuttaAlgorithm, CopyContext) | Initializes a new instance as a copy of an existing instance. |
 | RungeKuttaAlgorithm(Double, Double, Double) | Initializes a new instance of a Runge-Kutta algorithm with the given Butcher Tableau. y[n+1] = y[n] + h * Sum(i=0 to s){ b[i]*k[i] } k[i] = f(t[n] + c[i]*h, y[n] + Sum(j=0 to i-1){ a[i,j] * k[j] } ) |
Properties| Name | Description | |
|---|---|---|
 | Coefficients |
Gets the coefficients "a".
These represent the factors multiplying the derivatives to provide the intermediate state information.
|
| DerivativeFunction |
Gets the delegate which defines the first order differential equation representing the
derivative of the dependent variables as a function of independent variable and dependent variables.
|
| Derivatives |
Gets the derivative information used in the algorithm. These represent the
values of "k" in the Butcher Tableau for each dependent variable, with the
first index representing the stage "i" and the second representing the index
of the dependent variable.
|
| IsThreadSafe |
Gets a value indicating whether the methods on this instance are safe to call from
multiple threads simultaneously.
|
| NumberOfStages |
Gets the total number of stages in this instance of the Runge-Kutta integrator.
|
| Stages |
Gets the coefficients "c".
These represent the factors multiplying the step size by which to advance the independent variable at each stage.
|
| Weights |
Gets the coefficients "b".
These represent the coefficients of the "k" stages summed together to represent the slope.
|
 | WorkingArray |
Gets the working array used as a means to efficiently update the intermediate state information
when calling the derivative DerivativeFunction.
|
Methods| Name | Description | |
|---|---|---|
| Clone |
Clones this object using the specified context.
|
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object.) |
| Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.) |
| GetHashCode | Serves as the default hash function. (Inherited from Object.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| Initialize |
Initializes the derivative DerivativeFunction and the working arrays used during integration.
|
| Integrate |
Compute an integration step and update the final dependent variables and store the Derivatives.
|
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) |
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
See Also