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Correct BDF capitalization
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Integreat/LMM/Methods.wl

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@@ -14,7 +14,7 @@ LMMAdamsBashforth::usage = "LMMAdamsBashforth[k] creates a k-step Adams-Bashfort
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LMMAdamsMoulton::usage = "LMMAdamsMoulton[k] creates a k-step Adams-Moulton method.";
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LMMNystrom::usage = "LMMNystrom[k] creates a k-step Nystr\[ODoubleDot]m method.";
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LMMMilneSimpson::usage = "LMMMilneSimpson[k] creates a k-step Milne-Simpson method.";
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LMMBdf::usage = "LMMBdf[k] creates a k-step backward differentiation formula method.";
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LMMBDF::usage = "LMMBDF[k] creates a k-step backward differentiation formula method.";
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LMMAlpha::usage = "LMMAlpha[lmm] gets the list of coefficients multiplying y's from lmm. They are ordered from oldest to newest.";
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LMMBeta::usage = "LMMBeta[lmm] gets the list of coefficients multiplying f(y)'s from lmm. They are ordered from oldest to newest.";
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LMMAlphaGeneratingPolynomial::usage = "LMMAlphaGeneratingPolynomial[lmm, \[Zeta]] creates a polynomial in \[Zeta] using the \[Alpha] coefficients of lmm.";
@@ -45,7 +45,7 @@ LMMNystrom[k_Integer?Positive] := LMM @@ PadLeft[{{-1, 0, 1}, Append[vanderSolve
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LMMMilneSimpson[k_Integer?NonNegative] := LMM @@ PadLeft[{{-1, 0, 1}, vanderSolve[k, Table[If[OddQ[i], 2 / i, 0], {i, k + 1}]]}];
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LMMBdf[k_Integer?Positive] := With[{
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LMMBDF[k_Integer?Positive] := With[{
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i = Range[k, 1, -1]
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},
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LMM[Append[(-1)^i * Binomial[k, i] / i, HarmonicNumber[k]], UnitVector[k + 1, k + 1]]

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