Integreat`LMM`
Integreat`LMM`
LMMLinearStabilityPolynomial
LMMLinearStabilityPolynomial[lmm,ζ,μ]
creates a polynomial in ζ, parameterized by μ, whose roots determines the linear stability of lmm.
Details and Options
- The linear stability polynomial is
, where 
and 
are LMMAlphaGeneratingPolynomial and LMMBetaGeneratingPolynomial, respectively. - When a linear multistep method is applied to the Dahlquist test problem,
, the solution is a difference equation with corresponding characteristic equation 
, where 
.
Examples
Tech Notes
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