| OdeRungeKutta Class |
Solves an initial-value problem for ordinary differential
equations using the Runge-Kutta-Verner fifth-order and
sixth-order method.
Inheritance HierarchyNamespace: Imsl.Math
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0
SyntaxThe OdeRungeKutta type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | OdeRungeKutta | Constructs an ODE solver to solve the initial value
problem dy/dt = f(t,y).
|
Methods| Name | Description | |
|---|---|---|
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object.) |
 | ExamineStep |
Called before and after each internal step.
(Inherited from ODE.) |
| 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 a hash function for a particular type. (Inherited from Object.) |
| GetMaximumStepsize | Returns the maximum internal step size.
(Inherited from ODE.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) |
| SetMaximumStepsize | Sets the maximum internal step size.
(Overrides ODESetMaximumStepsize(Double).) |
| Solve | Integrates the ODE system from t to tEnd.
|
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
| Vnorm | Returns the norm of a vector.
(Inherited from ODE.) |
Properties| Name | Description | |
|---|---|---|
 | Floor | The value used in the norm computation.
(Inherited from ODE.) |
| InitialStepsize | The initial internal step size.
(Inherited from ODE.) |
| MaxSteps | The maximum number of internal steps allowed.
(Inherited from ODE.) |
| MinimumStepsize | The minimum internal step size.
(Inherited from ODE.) |
| NormMethod | The error norm.
(Inherited from ODE.) |
| Scale | The scaling factor.
(Inherited from ODE.) |
| Tolerance | The error tolerance.
(Inherited from ODE.) |
RemarksClass OdeRungeKutta finds an approximation to the solution
of a system of first-order differential equations of the form
with given initial data. The class
attempts to keep the global error proportional to a user-specified tolerance.
This class is efficient for nonstiff systems where the derivative
evaluations are not expensive.
OdeRungeKutta is based on a code designed by Hull, Enright and Jackson (1976, 1977). It uses Runge-Kutta formulas of order five and six developed by J. H. Verner.
See Also