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@MISC{Linssen:889382,
author = {Linssen, Charl and Jain, S. and Morrison, Abigail and
Eppler, Jochen Martin},
title = {{ODE}-toolbox: {A}utomatic selection and generation of
integration schemes for systems of ordinary differential
equations; 2.2},
reportid = {FZJ-2021-00265},
year = {2021},
abstract = {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.},
cin = {JSC / INM-6 / IAS-6 / INM-10},
cid = {I:(DE-Juel1)JSC-20090406 / I:(DE-Juel1)INM-6-20090406 /
I:(DE-Juel1)IAS-6-20130828 / I:(DE-Juel1)INM-10-20170113},
pnm = {574 - Theory, modelling and simulation (POF3-574) / 511 -
Computational Science and Mathematical Methods (POF3-511) /
5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511) / 5232 - Computational
Principles (POF4-523) / SMHB - Supercomputing and Modelling
for the Human Brain (HGF-SMHB-2013-2017) / HBP SGA2 - Human
Brain Project Specific Grant Agreement 2 (785907) / HBP SGA3
- Human Brain Project Specific Grant Agreement 3 (945539) /
SLNS - SimLab Neuroscience (Helmholtz-SLNS) / PhD no Grant -
Doktorand ohne besondere Förderung (PHD-NO-GRANT-20170405)},
pid = {G:(DE-HGF)POF3-574 / G:(DE-HGF)POF3-511 /
G:(DE-HGF)POF4-5111 / G:(DE-HGF)POF4-5232 /
G:(DE-Juel1)HGF-SMHB-2013-2017 / G:(EU-Grant)785907 /
G:(EU-Grant)945539 / G:(DE-Juel1)Helmholtz-SLNS /
G:(DE-Juel1)PHD-NO-GRANT-20170405},
typ = {PUB:(DE-HGF)33},
url = {https://juser.fz-juelich.de/record/889382},
}