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CRAN-RELEASE

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This package was submitted to CRAN on 2020-08-25.
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Once it is accepted, delete this file and tag the release (commit 529107a).
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This package was submitted to CRAN on 2020-08-26.
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Once it is accepted, delete this file and tag the release (commit 40a3d4c).

vignettes/ode.Rmd

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![precise_solution](https://user-images.githubusercontent.com/1814174/39012651-e03124e6-43c9-11e8-8496-bbee87987a37.png)
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We can also choose to use a different algorithm. The choice is done using a string that matches the Julia syntax. See
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[the ODE tutorial for details](https://diffeq.sciml.ai/dev/tutorials/ode_example#Choosing-a-Solver-Algorithm-1).
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The list of choices for ODEs can be found at the [ODE Solvers page](https://diffeq.sciml.ai/dev/solvers/ode_solve).
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[the ODE tutorial for details](https://diffeq.sciml.ai/dev/tutorials/ode_example/#Choosing-a-Solver-Algorithm-1).
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The list of choices for ODEs can be found at the [ODE Solvers page](https://diffeq.sciml.ai/dev/solvers/ode_solve/).
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For example, let's use a 9th order method due to Verner:
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```R

vignettes/sde.Rmd

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```R
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> system.time({ for (i in 1:5){ de$solve(prob ) }})
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user system elapsed
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146.40 0.75 147.22
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user system elapsed
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146.40 0.75 147.22
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> system.time({ for (i in 1:5){ de$solve(fastprob) }})
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user system elapsed
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user system elapsed
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1.07 0.10 1.17
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```
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Holy Monster's Inc. that's about 145x faster.
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### Systems of SDEs with Non-Diagonal Noise
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In many cases you may want to share noise terms across the system. This is known as non-diagonal noise. The
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[DifferentialEquations.jl SDE Tutorial](https://diffeq.sciml.ai/dev/tutorials/sde_example#Example-4:-Systems-of-SDEs-with-Non-Diagonal-Noise-1)
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In many cases you may want to share noise terms across the system. This is known as non-diagonal noise. The
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[DifferentialEquations.jl SDE Tutorial](https://diffeq.sciml.ai/dev/tutorials/sde_example/#Example-4:-Systems-of-SDEs-with-Non-Diagonal-Noise-1)
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explains how the matrix form of the diffusion term corresponds to the summation style of multiple Wiener processes. Essentially,
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the row corresponds to which system the term is applied to, and the column is which noise term. So `du[i,j]` is the amount of
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noise due to the `j`th Wiener process that's applied to `u[i]`. We solve the Lorenz system with correlated noise as follows:

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