Pseudospectral Iterated Method for Differential Equations with Delay Terms

Jodi Mead; Barbara Zubik-Kowal

doi:10.1007/978-3-540-25944-2_59

Pseudospectral Iterated Method for Differential Equations with Delay Terms

Jodi Mead, Barbara Zubik-Kowal

Mathematics Department

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

New efficient numerical methods for hyperbolic and parabolic partial differential equations with delay terms are investigated. These equations model a development of cancer cells in human bodies. Our goal is to study numerical methods which can be applied in a parallel computing environment. We apply our new numerical method to the delay partial differential equations and analyse the error of the method. Numerical experiments confirm our theoretical results.

Original language	American English
Title of host publication	Computational Science - ICCS 2004
Editors	Marian Bubak, Geert Dick van Albada, Peter M. A. Sloot, Jack J. Dongarra
Publisher	Springer Verlag
Pages	451-458
Number of pages	8
ISBN (Print)	3540221298
DOIs	https://doi.org/10.1007/978-3-540-25944-2_59
State	Published - 2004

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3039
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Keywords

Error estimations
Linear delay equations
Numerical approximations
Numerical experiments
Parallel computing

EGS Disciplines

Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1007/978-3-540-25944-2_59

Cite this

Mead, J., & Zubik-Kowal, B. (2004). Pseudospectral Iterated Method for Differential Equations with Delay Terms. In M. Bubak, G. D. van Albada, P. M. A. Sloot, & J. J. Dongarra (Eds.), Computational Science - ICCS 2004 (pp. 451-458). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3039). Springer Verlag. https://doi.org/10.1007/978-3-540-25944-2_59

Mead, Jodi ; Zubik-Kowal, Barbara. / Pseudospectral Iterated Method for Differential Equations with Delay Terms. Computational Science - ICCS 2004. editor / Marian Bubak ; Geert Dick van Albada ; Peter M. A. Sloot ; Jack J. Dongarra. Springer Verlag, 2004. pp. 451-458 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Pseudospectral Iterated Method for Differential Equations with Delay Terms",

abstract = "New efficient numerical methods for hyperbolic and parabolic partial differential equations with delay terms are investigated. These equations model a development of cancer cells in human bodies. Our goal is to study numerical methods which can be applied in a parallel computing environment. We apply our new numerical method to the delay partial differential equations and analyse the error of the method. Numerical experiments confirm our theoretical results.",

keywords = "Error estimations, Linear delay equations, Numerical approximations, Numerical experiments, Parallel computing",

author = "Jodi Mead and Barbara Zubik-Kowal",

year = "2004",

doi = "10.1007/978-3-540-25944-2\_59",

language = "American English",

isbn = "3540221298",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "451--458",

editor = "Marian Bubak and \{van Albada\}, \{Geert Dick\} and Sloot, \{Peter M. A.\} and Dongarra, \{Jack J.\}",

booktitle = "Computational Science - ICCS 2004",

address = "Germany",

}

Mead, J & Zubik-Kowal, B 2004, Pseudospectral Iterated Method for Differential Equations with Delay Terms. in M Bubak, GD van Albada, PMA Sloot & JJ Dongarra (eds), Computational Science - ICCS 2004. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3039, Springer Verlag, pp. 451-458. https://doi.org/10.1007/978-3-540-25944-2_59

Pseudospectral Iterated Method for Differential Equations with Delay Terms. / Mead, Jodi ; Zubik-Kowal, Barbara.
Computational Science - ICCS 2004. ed. / Marian Bubak; Geert Dick van Albada; Peter M. A. Sloot; Jack J. Dongarra. Springer Verlag, 2004. p. 451-458 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3039).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Pseudospectral Iterated Method for Differential Equations with Delay Terms

AU - Mead, Jodi

AU - Zubik-Kowal, Barbara

PY - 2004

Y1 - 2004

N2 - New efficient numerical methods for hyperbolic and parabolic partial differential equations with delay terms are investigated. These equations model a development of cancer cells in human bodies. Our goal is to study numerical methods which can be applied in a parallel computing environment. We apply our new numerical method to the delay partial differential equations and analyse the error of the method. Numerical experiments confirm our theoretical results.

AB - New efficient numerical methods for hyperbolic and parabolic partial differential equations with delay terms are investigated. These equations model a development of cancer cells in human bodies. Our goal is to study numerical methods which can be applied in a parallel computing environment. We apply our new numerical method to the delay partial differential equations and analyse the error of the method. Numerical experiments confirm our theoretical results.

KW - Error estimations

KW - Linear delay equations

KW - Numerical approximations

KW - Numerical experiments

KW - Parallel computing

UR - https://www.scopus.com/pages/publications/35048855605

U2 - 10.1007/978-3-540-25944-2_59

DO - 10.1007/978-3-540-25944-2_59

M3 - Chapter

SN - 3540221298

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 451

EP - 458

BT - Computational Science - ICCS 2004

A2 - Bubak, Marian

A2 - van Albada, Geert Dick

A2 - Sloot, Peter M. A.

A2 - Dongarra, Jack J.

PB - Springer Verlag

ER -

Mead J , Zubik-Kowal B. Pseudospectral Iterated Method for Differential Equations with Delay Terms. In Bubak M, van Albada GD, Sloot PMA, Dongarra JJ, editors, Computational Science - ICCS 2004. Springer Verlag. 2004. p. 451-458. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-25944-2_59

Pseudospectral Iterated Method for Differential Equations with Delay Terms

Abstract

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Keywords

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UN SDGs

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