Integreat`LMM`

LMMOrderConditions

LMMOrderConditions[lmm,p]

generates a list of order condition residuals for lmm from order 0 to p.

LMMOrderConditions[lmm,{p}]

generates the order p residual of lmm.

Details and Options

The order condition residual of order p is , where is the LMMBetaGeneratingPolynomial.
LMMOrderConditions[lmm,p] generates a list of length p+1.

open allclose all

In[1]:=1

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https://wolfram.com/xid/08aw4q8ow5cdxnedhdy69i3wz-s7p6xe

Check the order condition residuals of the three-step Adams–Moulton method:

In[1]:=1

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https://wolfram.com/xid/08aw4q8ow5cdxnedhdy69i3wz-cz2hq9

Out[1]=1

Generate the third order condition for a generic, three-step method:

In[1]:=1

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https://wolfram.com/xid/08aw4q8ow5cdxnedhdy69i3wz-qg13m8

Out[1]=1

Derive a three step method with the highest possible order:

In[1]:=1

✖

https://wolfram.com/xid/08aw4q8ow5cdxnedhdy69i3wz-0mwyye

Out[1]=1

Tech Notes

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