TSTrajectory supports checkpointing for multistage methods and can certainly be 
extended to multistep methods. But I doubt it is the best solution to Alfredo’s 
problem. Alfredo, can you elaborate a bit on what you would like to do? 
TSBDF_Restart is already using the previous solution to restart the integration 
with first-order BDF.

Hong(Mr.)

> On Mar 9, 2022, at 4:24 PM, Jed Brown <[email protected]> wrote:
> 
> Can you restart using small low-order steps?
> 
> Hong, does (or should) your trajectory stuff support an exact checkpointing 
> scheme for BDF?
> 
> I think we could add an interface to access the stored steps, but there are 
> few things other than checkpointing that would make sense mathematically. 
> Would you be up for making a merge request to add TSBDFGetStepVecs(TS ts, 
> PetscInt *num_steps, const PetscReal **times, const Vec *vecs) and the 
> respective setter? 
> 
> Alfredo J Duarte Gomez <[email protected]> writes:
> 
>> Good morning PETSC team,
>> 
>> I am currently using a TSBDF object, which is working very well.
>> 
>> However, I am running into trouble restarting higher order BDF methods.
>> 
>> My problem is highly nonlinear, and when restarted for higher order BDF
>> methods (using the TSBDF_Restart function), wiggles appear in a specific
>> region of the solution.
>> 
>> Is there any way I can initialize the higher order BDF restart loading
>> previous solutions from a data file? I took a look at the code, but there
>> is no obvious way to do this.
>> 
>> Thanks,
>> 
>> -Alfredo
>> 
>> -- 
>> Alfredo Duarte
>> Graduate Research Assistant
>> The University of Texas at Austin

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