Some applications of the Pascal matrix to the study of numerical methods for differential equations

LIDIA ACETO

Some applications of the Pascal matrix to the study of numerical methods for differential equations

LIDIA ACETO

Department of Science and Technological Innovation

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

Abstract

In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.

Original language	English
Pages (from-to)	639-651
Number of pages	13
Journal	Bollettino della Unione Matematica Italiana B
Volume	8B
Issue number	3
Publication status	Published - 2005

Keywords

BOUNDARY-VALUE METHODS

Access to Document

http://hdl.handle.net/11579/126555

Cite this

@article{8bc20bc990814e37960aa76ca67ea6c9,

title = "Some applications of the Pascal matrix to the study of numerical methods for differential equations",

abstract = "In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.",

keywords = "BOUNDARY-VALUE METHODS, BOUNDARY-VALUE METHODS",

author = "LIDIA ACETO",

year = "2005",

language = "English",

volume = "8B",

pages = "639--651",

journal = "Bollettino della Unione Matematica Italiana B",

issn = "0392-4041",

publisher = "Zanichelli Editore SpA",

number = "3",

}

TY - JOUR

T1 - Some applications of the Pascal matrix to the study of numerical methods for differential equations

AU - ACETO, LIDIA

PY - 2005

Y1 - 2005

N2 - In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.

AB - In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.

KW - BOUNDARY-VALUE METHODS

UR - https://iris.uniupo.it/handle/11579/126555

M3 - Article

SN - 0392-4041

VL - 8B

SP - 639

EP - 651

JO - Bollettino della Unione Matematica Italiana B

JF - Bollettino della Unione Matematica Italiana B

IS - 3

ER -

Some applications of the Pascal matrix to the study of numerical methods for differential equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this