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Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

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**Describe the bug 🐞** When performing a GSA on the Serial function runs quicker than the parallel counterpart. I have included the same test with an ODE version to highlight...

bug

**Describe the bug 🐞** Unexpected large memory usage proportional to `tspan[2]-tspan[1]` when solving a Delay Differential Equation with an oscillatory driving function. This might not be a bug, and may...

bug

method ambiguity detection maybe can't cope with these weird types? ``` julia> DelayDiffEq.SciMLBase.SciMLSolution Union{SciMLSolution, DESolution} (alias for Union{SciMLBase.AbstractEnsembleSolution, SciMLBase.AbstractNoTimeSolution, SciMLBase.AbstractNoiseProcess, SciMLBase.AbstractTimeseriesSolution}) julia> DelayDiffEq.SciMLBase.DESolution Union{SciMLSolution, DESolution} (alias for Union{SciMLBase.AbstractEnsembleSolution, SciMLBase.AbstractNoTimeSolution, SciMLBase.AbstractNoiseProcess,...

I cannot resize a DDE problem using callbacks. I would appreciate if someone could check if they can replicate the error, please. MWE: ``` using DifferentialEquations # define simple DDE...

https://github.com/SciML/OrdinaryDiffEq.jl/pull/1762 but for DDEs.

Hello I was playing around with the DDE solver on some equations and consistently Dopri5 doesn't integrate properly. MWE : ```jl using DifferentialEquations using DelimitedFiles using PyPlot using Metrics #...

The following example shows that - similar to the example in the [tests](https://github.com/SciML/DelayDiffEq.jl/blob/master/test/interface/ad.jl) - ForwardDiff and finite differencing (here FiniteDifferences, in the tests FiniteDiff) produces similar gradients and Jacobians. However,...

Originally posted in [JuliaLang](https://discourse.julialang.org/t/speeding-up-dde-that-interpolates-past-value-at-3-indices/67970/3): Here’re two MWEs (one implemented with idxs and the other with in-place history function): ``` # Example 1 using DifferentialEquations; using BenchmarkTools; function computeNFkBFluxes!(nettFlux, concentration, delay,...

We use the interpolation interface for evaluating the history function but we don't support efficient evaluations for multiple time points yet.

Mackey and Glass plot 1 before: ![Capture](https://user-images.githubusercontent.com/1814174/117691984-86cb3680-b18a-11eb-9262-b1aa4e2ac1b8.PNG) Then: ![Capture](https://user-images.githubusercontent.com/1814174/117692165-c09c3d00-b18a-11eb-857c-6cd9b5fd6158.PNG) That's non-stiff. And stiff quorum sensing before: ![Capture](https://user-images.githubusercontent.com/1814174/117692304-e32e5600-b18a-11eb-942b-c3f511338e2f.PNG) and after: ![Capture](https://user-images.githubusercontent.com/1814174/117692382-f7725300-b18a-11eb-93bb-c346b6e590f2.PNG)