LÓCZI LAJOS ELŐADÁSA A FARKAS MIKLÓS ALKALMAZOTT ANALÍZIS SZEMINÁRIUMON

We kindly invite you to the Miklós Farkas Seminar.

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22 March (Thursday) 10.15, BME H306

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Lajos Lóczi (ELTE IK Department of Numerical Analysis, BME Department of Differential Equations)

Step-size coefficients for boundedness of linear multistep methods

Monotonicity or boundedness properties (e.g. strong-stability-preserving, total-variation-diminishing or total-variation-boundedness properties) for linear multistep methods (LMMs) can be guaranteed by imposing step-size restrictions on the methods. To describe these restrictions, one introduces the concept of step-size coefficient for monotonicity (SCM, also referred to as the strong-stability-preserving (SSP) coefficient) and its generalization, the step-size coefficient for boundedness (SCB coefficient). A LMM with larger SCM or SCB is more efficient. The computation of the maximum SCM for a particular LMM is straightforward, however, it is more challenging to decide whether a SCB exists, or determine if a given number is a SCB. Based on some recent theorems in the literature we present methods to find the exact optimal SCB for a LMM. As an illustration, we consider SCBs in the BDF, extrapolated BDF, and Adams--Bashforth families.  

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The organizers

(István Faragó, János Karátson, Róbert Horváth, Miklós Mincsovics)

Visit the homepage of the seminar: http://math.bme.hu/AlkAnalSzemi