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Symbolically Derived Jacobians Using Automatic Differentiation - Enhancement of the OpenModelica Compiler

Authors :
Lennart Ochel
Bernhard Bachmann
Willi Braun
Source :
Linköping Electronic Conference Proceedings.
Publication Year :
2011
Publisher :
Linköping University Electronic Press, 2011.

Abstract

Jacobian matrices are used in a wide range of applications - from solving the original DAEs to sensitivity analysis. Using Automatic Dierentiation the necessary partial derivatives can be provided eciently within a Modelica-Tool. This paper describes the corresponding implementation work within the OpenModelica Compiler (OMC) to create a symbolic derivative module. This new OMC-feature generates symbolically partial derivatives in order to calculate Jacobian matrices with respect to dierent variables. Applications

Details

ISSN :
16503686
Database :
OpenAIRE
Journal :
Linköping Electronic Conference Proceedings
Accession number :
edsair.doi...........61a239326567e557a8a685d2cd8f2cb2
Full Text :
https://doi.org/10.3384/ecp11063495