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# ODE-toolbox: Automatic selection and generation of integration schemes for systems of ordinary differential equations

Linssen, Charl; Morrison, Abigail; Eppler, Jochen Martin

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<dc:creator>Linssen, Charl</dc:creator>
<dc:creator>Morrison, Abigail</dc:creator>
<dc:creator>Eppler, Jochen Martin</dc:creator>
<dc:date>2020-05-28</dc:date>
<dc:description>Choosing the optimal solver for systems of ordinary differential equations (ODEs) is a critical step in dynamical systems simulation. ODE-toolbox is a Python package that assists in solver benchmarking, and recommends solvers on the basis of a set of user-configurable heuristics. For all dynamical equations that admit an analytic solution, ODE-toolbox generates propagator matrices that allow the solution to be calculated at machine precision. For all others, first-order update expressions are returned based on the Jacobian matrix.

In addition to continuous dynamics, discrete events can be used to model instantaneous changes in system state, such as a neuronal action potential. These can be generated by the system under test, as well as applied as external stimuli, making ODE-toolbox particularly well-suited for applications in computational neuroscience.</dc:description>
<dc:identifier>https://zenodo.org/record/3822082</dc:identifier>
<dc:identifier>10.5281/zenodo.3822082</dc:identifier>
<dc:identifier>oai:zenodo.org:3822082</dc:identifier>
<dc:relation>doi:10.5281/zenodo.1412608</dc:relation>
<dc:relation>doi:10.5281/zenodo.3822081</dc:relation>
<dc:relation>url:https://zenodo.org/communities/hbp</dc:relation>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:subject>differential equation</dc:subject>
<dc:subject>ODE</dc:subject>
<dc:subject>numerical integration</dc:subject>
<dc:subject>simulation</dc:subject>
<dc:subject>solver</dc:subject>
<dc:subject>propagator matrix</dc:subject>
<dc:subject>symbolic analysis</dc:subject>
<dc:subject>dynamic system</dc:subject>
<dc:title>ODE-toolbox: Automatic selection and generation of integration schemes for systems of ordinary differential equations</dc:title>
<dc:type>info:eu-repo/semantics/other</dc:type>
<dc:type>software</dc:type>
</oai_dc:dc>

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