Qags |
Adaptive integration with singularities.
Inheritance HierarchyNamespace: Altaxo.Calc.Integration
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class QagsIntegration : IntegrationBase
The QagsIntegration type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | QagsIntegration | Creates an instance of this integration class with a default integration rule and default debug flag setting. |
| QagsIntegration(Boolean) | Creates an instance of this integration class with a default integration rule and specified debug flag setting. |
| QagsIntegration(gsl_integration_rule, Boolean) | Creates an instance of this integration class with specified integration rule and specified debug flag setting. |
Properties| Name | Description | |
|---|---|---|
  | DefaultIntegrationRule | Returns the default integration rule used for this class. |
Methods| Name | Description | |
|---|---|---|
| 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) |
| Integrate(FuncDouble, Double, Double, Double, Double, Double, Int32, Double, Double) | Adaptive integration with (unknown) singularities using the integration rule and debug setting given in the constructor.. |
| Integrate(FuncDouble, Double, Double, Double, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double) | Adaptive integration with (unknown) singularities. |
| Integration(FuncDouble, Double, Double, Double, Double, Double, Int32, Double, Double) | Adaptive integration with (unknown) singularities. |
| Integration(FuncDouble, Double, Double, Double, Double, Double, Int32, Double, Double, Object) | Adaptive integration with (unknown) singularities. |
| Integration(FuncDouble, Double, Double, Double, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double) | Adaptive integration with (unknown) singularities. |
| Integration(FuncDouble, Double, Double, Double, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double, Object) | Adaptive integration with (unknown) singularities. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
Remarks
The presence of an integrable singularity in the integration region causes an adaptive routine
to concentrate new subintervals around the singularity. As the subintervals decrease in size
the successive approximations to the integral converge in a limiting fashion. This approach
to the limit can be accelerated using an extrapolation procedure. The QAGS algorithm
combines adaptive bisection with the Wynn epsilon-algorithm to speed up the integration
of many types of integrable singularities.
Ref.: Gnu Scientific library reference manual (http://www.gnu.org/software/gsl/)
See Also