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Differential Equations

Julia Differential Equations

Ordinary DEs

Ordinary Differential Equations (ODEs)
ModelingToolkit: define ODEs with symbolic expressions
Catalyst ODE examples

Stochastic

Stochastic Differential Equations (SDEs)
SDEs with ModelingToolkit.jl
Stochastic modeling in Catalyst

Advanced

Optimization Problems
Steady state solutions
Parallel Ensemble Simulations
Callbacks and Events
Symbolic calculations in Julia

Models

Spiking Neural Systems

Tips

Use smooth functions
Get the ODE function from ModelingToolkit
Avoid DomainErrors
ComponentArrays

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By Wen-Wei Tseng

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