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.

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

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

Derive a three step method with the highest possible order:

Tech Notes

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