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Assimulo: A unified framework for ODE solvers

Andersson, Christian LU ; Führer, Claus LU and Akesson, Johan (2015) In Mathematics and Computers in Simulation 116. p.26-43
Abstract
During the last three decades, a vast variety of methods to numerically solve ordinary differential equations and differential algebraic equations has been developed and investigated. The methods are mostly freely available in different programming languages and with different interfaces. Accessing them using a unified interface is a need not only of the research community and for education purposes but also to make them available in industrial contexts. An industrial model of a dynamic system is usually not just a set of differential equations. The models today may contain discrete controllers, impacts or friction resulting in discontinuities that need to be handled by a modern solver in a correct and efficient way. Additionally, the... (More)
During the last three decades, a vast variety of methods to numerically solve ordinary differential equations and differential algebraic equations has been developed and investigated. The methods are mostly freely available in different programming languages and with different interfaces. Accessing them using a unified interface is a need not only of the research community and for education purposes but also to make them available in industrial contexts. An industrial model of a dynamic system is usually not just a set of differential equations. The models today may contain discrete controllers, impacts or friction resulting in discontinuities that need to be handled by a modern solver in a correct and efficient way. Additionally, the models may produce an enormous amount of data that puts strain on the simulation software. In this paper, Assimulo is presented. It is a unified high-level interface to solvers of ordinary differential equations and is designed to satisfy the needs in research and education together with the requirements for solving industrial models with discontinuities and data handling. It combines original classical and modern solvers independent of their programming language with a well-structured Python/Cython interface. This allows to easily control parameter setting and discontinuity handling for a wide range of problem classes. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Simulation, Ordinary differential equations, Differential-algebraic, equations, Python, Functional mock-up interface
in
Mathematics and Computers in Simulation
volume
116
pages
26 - 43
publisher
Elsevier
external identifiers
  • wos:000357240400002
  • scopus:84930823998
ISSN
0378-4754
DOI
10.1016/j.matcom.2015.04.007
language
English
LU publication?
yes
id
884fbb08-7705-4521-b13c-4c96921d1720 (old id 7790979)
date added to LUP
2015-09-02 16:06:08
date last changed
2017-10-08 03:14:23
@article{884fbb08-7705-4521-b13c-4c96921d1720,
  abstract     = {During the last three decades, a vast variety of methods to numerically solve ordinary differential equations and differential algebraic equations has been developed and investigated. The methods are mostly freely available in different programming languages and with different interfaces. Accessing them using a unified interface is a need not only of the research community and for education purposes but also to make them available in industrial contexts. An industrial model of a dynamic system is usually not just a set of differential equations. The models today may contain discrete controllers, impacts or friction resulting in discontinuities that need to be handled by a modern solver in a correct and efficient way. Additionally, the models may produce an enormous amount of data that puts strain on the simulation software. In this paper, Assimulo is presented. It is a unified high-level interface to solvers of ordinary differential equations and is designed to satisfy the needs in research and education together with the requirements for solving industrial models with discontinuities and data handling. It combines original classical and modern solvers independent of their programming language with a well-structured Python/Cython interface. This allows to easily control parameter setting and discontinuity handling for a wide range of problem classes.},
  author       = {Andersson, Christian and Führer, Claus and Akesson, Johan},
  issn         = {0378-4754},
  keyword      = {Simulation,Ordinary differential equations,Differential-algebraic,equations,Python,Functional mock-up interface},
  language     = {eng},
  pages        = {26--43},
  publisher    = {Elsevier},
  series       = {Mathematics and Computers in Simulation},
  title        = {Assimulo: A unified framework for ODE solvers},
  url          = {http://dx.doi.org/10.1016/j.matcom.2015.04.007},
  volume       = {116},
  year         = {2015},
}