001     889382
005     20240313094933.0
037 _ _ |a FZJ-2021-00265
100 1 _ |a Linssen, Charl
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245 _ _ |a ODE-toolbox: Automatic selection and generation of integration schemes for systems of ordinary differential equations
250 _ _ |a 2.2
260 _ _ |c 2021
336 7 _ |a Software
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336 7 _ |a OTHER
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336 7 _ |a Software
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520 _ _ |a 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.
536 _ _ |a 574 - Theory, modelling and simulation (POF3-574)
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700 1 _ |a Jain, S.
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700 1 _ |a Morrison, Abigail
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700 1 _ |a Eppler, Jochen Martin
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856 4 _ |u https://doi.org/10.5281/zenodo.4245012
909 C O |o oai:juser.fz-juelich.de:889382
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910 1 _ |a Forschungszentrum Jülich
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910 1 _ |a University of Cologne, Faculty of Mathematics and Natural Sciences, Department of Physics
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910 1 _ |a Forschungszentrum Jülich
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914 1 _ |y 2021
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