Computation of optimal linear strong stability preserving methods via adaptive spectral transformations of Poisson-Charlier measures

16 Nov 2020 Ait-Haddou Rachid

Strong stability preserving (SSP) coefficients govern the maximally allowable step-size at which positivity or contractivity preservation of integration methods for initial value problems is guaranteed. In this paper, we show that the task of computing linear SSP coefficients of explicit one-step methods is, to a certain extent, equivalent to the problem of characterizing positive quadratures with integer nodes with respect to Poisson-Charlier measures... (read more)

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  • NUMERICAL ANALYSIS
  • NUMERICAL ANALYSIS