In this work some remarks on the numerical computation of the coefficients of some families of LMMs, used with boundary conditions and on general meshes, are introduced. Three formulations of the order conditions, which are the tools used for determining such coefficients, are considered. In particular, the attention is focused on the Generalized BDF (GBDF) for which some experiments performed in MATLAB are also presented.
On the Numerical Computation of the LMM's Coefficients / L. ACETO; A. SESTINI. - STAMPA. - 936:(2007), pp. 596-599. (Intervento presentato al convegno ICNAAM 2007 tenutosi a Corfù, Grecia nel 16-20 Settembre 2007) [10.1063/1.2790217].
On the Numerical Computation of the LMM's Coefficients
SESTINI, ALESSANDRA
2007
Abstract
In this work some remarks on the numerical computation of the coefficients of some families of LMMs, used with boundary conditions and on general meshes, are introduced. Three formulations of the order conditions, which are the tools used for determining such coefficients, are considered. In particular, the attention is focused on the Generalized BDF (GBDF) for which some experiments performed in MATLAB are also presented.
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