On the numerical computation of the LMM's coefficients

LIDIA ACETO; A SESTINI

doi:10.1063/1.2790217

On the numerical computation of the LMM's coefficients

LIDIA ACETO, A SESTINI

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo alla conferenza › Contributo in Atti di Convegno › peer review

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.

Lingua originale	Inglese
Pagine	596-599
Numero di pagine	4
DOI	https://doi.org/10.1063/1.2790217
Stato di pubblicazione	Pubblicato - 2007
Evento	International Conference on Numerical Analysis and Applied Mathematics - Corfu (GREECE) Durata: 1 gen 2007 → …

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???event.eventtypes.event.conference???	International Conference on Numerical Analysis and Applied Mathematics
Città	Corfu (GREECE)
Periodo	1/01/07 → …

Keywords

linear multistep methods
conditioning
Vandermonde matrix
Bernstein polynomials

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10.1063/1.2790217

http://hdl.handle.net/11579/126615

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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.",

keywords = "linear multistep methods, conditioning, Vandermonde matrix, Bernstein polynomials, linear multistep methods, conditioning, Vandermonde matrix, Bernstein polynomials",

author = "LIDIA ACETO and A SESTINI",

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AU - SESTINI, A

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AB - 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.

KW - linear multistep methods

KW - conditioning

KW - Vandermonde matrix

KW - Bernstein polynomials

KW - linear multistep methods

KW - conditioning

KW - Vandermonde matrix

KW - Bernstein polynomials

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DO - 10.1063/1.2790217

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T2 - International Conference on Numerical Analysis and Applied Mathematics

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On the numerical computation of the LMM's coefficients

Abstract

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Keywords

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