WOLFRAM SYSTEM MODELER
quadratureLobattoReturn the integral of an integrand function using an adaptive Lobatto rule |
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Wolfram Language
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SystemModel["Modelica.Math.Nonlinear.quadratureLobatto"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Syntax
quadratureLobatto(function f(), a, b); quadratureLobatto(function f(), a, b, tolerance=100*Modelica.Constants.eps);
Description
Compute definite integral over function f(u,...) from u=a up to u=b using the adaptive Lobatto rule according to:
- Walter Gander:
- Adaptive Quadrature - Revisited. 1998. ftp://ftp.inf.ethz.ch/pub/publications/tech-reports/3xx/306.ps
Example
See the examples in Modelica.Math.Nonlinear.Examples.
Syntax
integral = quadratureLobatto(f, a, b, tolerance)
Inputs (4)
| f |
Type: partialScalarFunction Description: Integrand function |
|---|---|
| a |
Type: Real Description: Lower limit of integration interval |
| b |
Type: Real Description: Upper limit of integration interval |
| tolerance |
Default Value: 100 * Modelica.Constants.eps Type: Real Description: Relative tolerance for integral value |
Outputs (1)
| integral |
Type: Real Description: Integral value |
|---|