But maybe, unless I am stupidly doing super bad math again, there should be 
this correction in the equation of C_kappa so that indeed the value of the 
second derivative's value at kappa_n+1 is correct

[image: Untitled2.png]

Em sexta-feira, 26 de maio de 2023 às 14:08:39 UTC+2, Cecília Álvares 
escreveu:

> nvm, my bad :"D
>
> Em sexta-feira, 26 de maio de 2023 às 13:55:33 UTC+2, Cecília Álvares 
> escreveu:
>
>> I mean, for sure there has to be a typo somewhere in the equations of 
>> A(kappa), B(kappa), C(kappa) and D(kappa), otherwise the force-field of the 
>> CG would be constrained to be 0 everytime I have kappa be any of the points 
>> in which the mesh was discretized (i.e., kappa = kappa_n), which is for 
>> sure not something we want and for sure not what VOTCA does (thank God!)
>>
>> Em sexta-feira, 26 de maio de 2023 às 13:52:42 UTC+2, Cecília Álvares 
>> escreveu:
>>
>>> Hey everyone,
>>>
>>> As I am gonna do some force-matching, I have been checking the official 
>>> Parrinello FM paper and also the official publication of VOTCA (
>>> https://pubs.acs.org/doi/10.1021/ct900369w) to try to understand the 
>>> mathematical formalism and how it is implemented. I was wondering, is there 
>>> a typo in equation (22)? I mean, some of the kappa_n should be kappa_n+1 in 
>>> the general form of the cubic splines A(kappa), B(kappa), C(kappa), 
>>> D(kappa), right?
>>>
>>> For a ready-to-go checkup, I am taking the liberty to put a tiny 
>>> screenshot of the paper in the part that it shows the equation (22) (and 
>>> also (21) for some context) - I suppose it's ok to do that, right?! I 
>>> suppose Sn was also meant to be fn, but that's okay.
>>>
>>> [image: Untitled.png]
>>> Thanks a lot,
>>> Cecilia
>>>
>>

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