Integreat`LMM`

LMMErrorConstant

LMMErrorConstant[lmm]

computes the leading error constant of lmm.

LMMErrorConstant[lmm,p]

computes the error constant of order p.

Details and Options

LMMErrorConstant[lmm,p] computes where is the LMMBetaGeneratingPolynomial.
The accuracy of linear multistep methods of the same order can be compared with LMMErrorConstant.
LMMErrorConstant[lmm] is equivalent to LMMErrorConstant[lmm,LMMOrder[lmm]+1]

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Compute the error constant for the three-step Milne–Simpson method:

Compute the error constants through order six:

Compare the error constants for three popular classes of linear multistep methods:

LMMErrorConstant[lmm,p] is equivalent to LMMOrderConditions[lmm,{p}]:

Tech Notes

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