Performs 3D numerical integration using the adaptive Lobatto quadrature approach. You define the integrand using a formula.
Expression to integrate. The first, second, and third integral variables must be x, y, and z, respectively.
Upper limits of the integral.
Upper limit of the first integral variable x.
Default: 1
Upper limit of the second integral variable y.
Default: 1
Upper limit of the third integral variable z.
Default: 1
Lower limits of the integral.
Lower limit of the first integral variable x.
Default: 0
Lower limit of the second integral variable y.
Default: 0
Lower limit of the third integral variable z.
Default: 0
Accuracy of the quadrature. A smaller tolerance leads to a more accurate result but requires more computation time.
How Does Tolerance Affect the Accuracy of the Quadrature?
This node compares the difference between the 4-points and 7-points Lobatto quadratures on the interval and uses tolerance to terminate the calculation iteration. If the difference is less than tolerance, this node stops the calculation iteration and moves on to the next interval.
Default: 1E-05
Error conditions that occur before this node runs.
The node responds to this input according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
Default: No error
Integral result.
Error information.
The node produces this output according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
This node evaluates the following integral:
where
To obtain high accuracy, this node divides an interval cube into sub-cubes when the integrand f(x, y, z) varies sharply.
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application