IntegrateOnRectangle(FuncDouble, Double, Double, Double, Double, Double, Double, Int32) Method |
Approximates a 2-dimensional definite integral using an Nth order Gauss-Legendre rule over the rectangle [a,b] x [c,d].
Namespace: Altaxo.CalcAssembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax public static double OnRectangle(
Func<double, double, double> f,
double invervalBeginA,
double invervalEndA,
double invervalBeginB,
double invervalEndB,
int order
)
Parameters
- f FuncDouble, Double, Double
- The 2-dimensional analytic smooth function to integrate.
- invervalBeginA Double
- Where the interval starts for the first (inside) integral, exclusive and finite.
- invervalEndA Double
- Where the interval ends for the first (inside) integral, exclusive and finite.
- invervalBeginB Double
- Where the interval starts for the second (outside) integral, exclusive and finite.
- invervalEndB Double
- Where the interval ends for the second (outside) integral, exclusive and finite.
- order Int32
- Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly.
Return Value
DoubleApproximation of the finite integral in the given interval.
See Also