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.

integral = quadratureLobatto(f, a, b, tolerance)

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

integral	Type: Real Description: integral value