WOLFRAM SYSTEM MODELER

quadratureLobatto

Return the integral of an integrand function using an adaptive Lobatto rule

Wolfram Language

In[1]:=
SystemModel["Modelica.Math.Nonlinear.quadratureLobatto"]
Out[1]:=

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