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It doesn't affect the final result, just the algorithm to get there.
Read this doc update.

https://bitbucket.org/petsc/petsc/commits/b813ae3b0839847a3f9c27668d2815c374454af5

I have an email thread with the authors from 2010, but this was the
conclusion.  I don't have time to test reproducing the figures from the
paper and the above-mentioned linearly implicit variant (the algorithm
they intended to run), but if you're experimenting with it, we would
certainly welcome a patch to that effect.

Mohammad Hassan Baghaei <mhbagh...@mail.sjtu.edu.cn> writes:

> Thank you very much for your help! I am currently reading the Coffey paper
> on the  pseudo-transient continuation method. Thanks for making clear for
> me. In fact, I need that the final converged solution will be in fully
> implicit form. So, I think I have to configure the SNES.
>
> -----Original Message-----
> From: Jed Brown [mailto:j...@jedbrown.org] 
> Sent: Wednesday, February 7, 2018 6:40 AM
> To: Smith, Barry F. <bsm...@mcs.anl.gov>; Mohammad Hassan Baghaei
> <mhbagh...@mail.sjtu.edu.cn>
> Cc: petsc-users@mcs.anl.gov
> Subject: Re: [petsc-users] pseudo-transient ?
>
> src/ts/examples/tutorials/ex26.c solves the same problem as that (since
> removed) src/snes/examples/tutorials/ex27.c referenced in the Coffey paper.
>
> Unfortunately, there is still a dangling reference from the TS example that
> needs to be fixed.
>
> Note that there is a slight mistake in the paper -- they describe the
> algorithm as linearly implicit but the numerical results were created using
> nonlinearly implicit Euler.  The algorithm as described is more efficient
> and the default using TSPSEUDO in the TS example.  If you want to reproduce
> the numerical results, you'll have to change the SNES to converge the
> nonlinear solve instead of just the first step.
>
> "Smith, Barry F." <bsm...@mcs.anl.gov> writes:
>
>>   That example has not likely existed for many year. You can use
> src/ts/examples/tutorials/ex1.c as a starting point.
>>
>>
>>
>>> On Feb 6, 2018, at 3:31 PM, Mohammad Hassan Baghaei
> <mhbagh...@mail.sjtu.edu.cn> wrote:
>>> 
>>> Hi
>>> I wanted to use my solve the system of equation using pseudo-transient
> continuation. I found that we can refer to this version for driven cavity
> example. However, I could not find it within files
> (src/snes/examples/tutorials/ex27.c). Would it be possible for you to share
> this file? 
>>> Thanks
>>> Amir

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