8.24.1 Top new questions this week

8.24.1.1 Ideal workflow for developing and running "pipelines"
8.24.1.2 How to convert the ListVector into PackedArray in FunctionCompile
8.24.1.3 Slow evaluation in M13.1 when using auto-completion on package symbols
8.24.1.4 Are there practical Mathematica tools for detection of limit cycles in two dimensional dynamical systems?
8.24.1.5 To accelerate FunctionCompile
8.24.1.6 Crank-Nicolson solver for heat equation
8.24.1.7 How can I find the inverse of an interpolating function?
8.24.1.1 Ideal workflow for developing and running "pipelines"

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271105

tl;dr What are some good workflows for developing and running data processing pipelines with Mathematica? 
 
I sometimes develop data processing pipelines with Mathematica. I load some data, transform ... 
[notebooks] [data] [workflow]
 
asked by Szabolcs https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12 Score of 12
8.24.1.2 How to convert the ListVector into PackedArray in FunctionCompile

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271045

Cross post here 
 
I have a compile function  cf  to calculate the mean for a ragged list: 
... 
[performance-tuning] [compile] [conversion] [packed-arrays]
 
asked by yode https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=21532 Score of 11
answered by Silvia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=17 Score of 12
8.24.1.3 Slow evaluation in M13.1 when using auto-completion on package symbols

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270894

I see an extreme slowdown when evaluating cells in Mathematica 13.1.0 if auto-completion of package symbols was previously triggered. I am using macOS 10.14. 
Questions 
 
Does this happen with newer ... 
[performance-tuning] [front-end]
 
asked by Szabolcs https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12 Score of 11
8.24.1.4 Are there practical Mathematica tools for detection of limit cycles in two dimensional dynamical systems?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270931

I have a dynamical system with one boundary saddle point, and one unstable interior point, and I would like to detect existence of cycles. This is of course a hard  problem if the cycle is very small, ... 
[plotting] [differential-equations] [nonlinear] [stability]
 
asked by florin https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=54979 Score of 10
answered by Chris K https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=6358 Score of 12
8.24.1.5 To accelerate FunctionCompile

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270994

I have a function  value  like this: 
... 
[performance-tuning] [compile]
 
asked by yode https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=21532 Score of 9
answered by A.Richards https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87476 Score of 8
8.24.1.6 Crank-Nicolson solver for heat equation

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270856

My ultimate goal is to solve the 1D radial diffusion equation 
$$\frac{\partial u(t,x)}{\partial x}=x^2\frac{\partial}{\partial x} \left(\frac{D(t)}{x^2} \frac{\partial u(t,x)}{\partial x } \right)$$ ... 
[differential-equations] [numerical-integration]
 
asked by Decoder https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87299 Score of 9
answered by xzczd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1871 Score of 12
8.24.1.7 How can I find the inverse of an interpolating function?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270962

I am numerically solving the coupled differential equations (for $t[\tau]$ and $r[\tau]$) below. Mathematica outputs two interpolating functions as solutions. I would like to invert one of these ... 
[differential-equations] [functions] [interpolation] [inverse]
 
asked by Aiden https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87446 Score of 8
answered by Bob Hanlon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9362 Score of 13