Theoretical analysis of the stability for Extended Trapezoidal Rules

Lidia Aceto; Roberta Pandolfi

doi:10.1016/j.na.2009.05.053

Theoretical analysis of the stability for Extended Trapezoidal Rules

Lidia Aceto, Roberta Pandolfi

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper a rigorous analysis of the linear stability for two classes of methods, both generalizing the trapezoidal rule, is done. The information on the coefficients of the methods, useful for the analysis, are obtained by an extensive use of properties of the Pascal matrix, some of which are derived in this work.

Original language	English
Pages (from-to)	e2521-e2534
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2009.05.053
Publication status	Published - 15 Dec 2009
Externally published	Yes

Keywords

Linear multistep methods
Pascal matrix
Stability
Trapezoidal rule

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10.1016/j.na.2009.05.053

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title = "Theoretical analysis of the stability for Extended Trapezoidal Rules",

abstract = "In this paper a rigorous analysis of the linear stability for two classes of methods, both generalizing the trapezoidal rule, is done. The information on the coefficients of the methods, useful for the analysis, are obtained by an extensive use of properties of the Pascal matrix, some of which are derived in this work.",

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AU - Pandolfi, Roberta

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AB - In this paper a rigorous analysis of the linear stability for two classes of methods, both generalizing the trapezoidal rule, is done. The information on the coefficients of the methods, useful for the analysis, are obtained by an extensive use of properties of the Pascal matrix, some of which are derived in this work.

KW - Linear multistep methods

KW - Pascal matrix

KW - Stability

KW - Trapezoidal rule

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DO - 10.1016/j.na.2009.05.053

M3 - Article

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VL - 71

SP - e2521-e2534

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 12

ER -

Theoretical analysis of the stability for Extended Trapezoidal Rules

Abstract

Keywords

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