Hi 

My question is in relation to step 23. I am dipping my toes in the water 
with structural mechanics problems and I would like to avoid the 
quasistatic simplification. Now the example add velocity to reduce the 
order of the time derivative and proceeds  with the theta method. 

I wanted to know if that technique would be allowed if you replaced the 2nd 
order time derivative in the wave equation. The tutorial says it would be 
equivalent but I have not seen anything using the theta method that does 
not have just a 1st order time derivative. 

Is there a modification of the theta method that allows one to pretty much 
follow the steps of the tutorial but not reduce the order of the equation 
by variable substitution. 

Thanks in advance. 

Matt

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