Revisionist integral deferred correction with adaptive step-size control

Andrew Christlieb; Colin Macdonald; Benjamin Ong; Raymond Spiteri

doi:10.2140/camcos.2015.10.1

Revisionist integral deferred correction with adaptive step-size control

Andrew Christlieb, Colin Macdonald, Benjamin Ong, Raymond Spiteri

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

10 Scopus citations

Abstract

© 2015 Mathematical Sciences Publishers. Adaptive step-size control is a critical feature for the robust and efficient numerical solution of initial-value problems in ordinary differential equations. In this paper, we show that adaptive step-size control can be incorporated within a family of parallel time integrators known as revisionist integral deferred correction (RIDC) methods. The RIDC framework allows for various strategies to implement stepsize control, and we report results from exploring a few of them.

Original language	English (US)
Pages (from-to)	1-25
Number of pages	25
Journal	Communications in Applied Mathematics and Computational Science
Volume	10
Issue number	1
DOIs	https://doi.org/10.2140/camcos.2015.10.1
State	Published - Mar 27 2015
Externally published	Yes

Access to Document

10.2140/camcos.2015.10.1

Cite this

@article{637ba3dfc7fd4dbe91f2825c8f8a53da,

title = "Revisionist integral deferred correction with adaptive step-size control",

abstract = "{\textcopyright} 2015 Mathematical Sciences Publishers. Adaptive step-size control is a critical feature for the robust and efficient numerical solution of initial-value problems in ordinary differential equations. In this paper, we show that adaptive step-size control can be incorporated within a family of parallel time integrators known as revisionist integral deferred correction (RIDC) methods. The RIDC framework allows for various strategies to implement stepsize control, and we report results from exploring a few of them.",

author = "Andrew Christlieb and Colin Macdonald and Benjamin Ong and Raymond Spiteri",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This publication was based on work supported in part by award no. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), AFRL and AFOSR under contract and grants FA9550-12-1-0455, NSF grant number DMS-0934568, NSERC grant number RGPIN-228090-2013, and the Oxford Center for Collaborative and Applied Mathematics (OCCAM). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2015",

month = mar,

day = "27",

doi = "10.2140/camcos.2015.10.1",

language = "English (US)",

volume = "10",

pages = "1--25",

journal = "Communications in Applied Mathematics and Computational Science",

issn = "2157-5452",

publisher = "Mathematical Sciences Publishers",

number = "1",

}

TY - JOUR

T1 - Revisionist integral deferred correction with adaptive step-size control

AU - Christlieb, Andrew

AU - Macdonald, Colin

AU - Ong, Benjamin

AU - Spiteri, Raymond

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This publication was based on work supported in part by award no. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), AFRL and AFOSR under contract and grants FA9550-12-1-0455, NSF grant number DMS-0934568, NSERC grant number RGPIN-228090-2013, and the Oxford Center for Collaborative and Applied Mathematics (OCCAM). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2015/3/27

Y1 - 2015/3/27

N2 - © 2015 Mathematical Sciences Publishers. Adaptive step-size control is a critical feature for the robust and efficient numerical solution of initial-value problems in ordinary differential equations. In this paper, we show that adaptive step-size control can be incorporated within a family of parallel time integrators known as revisionist integral deferred correction (RIDC) methods. The RIDC framework allows for various strategies to implement stepsize control, and we report results from exploring a few of them.

AB - © 2015 Mathematical Sciences Publishers. Adaptive step-size control is a critical feature for the robust and efficient numerical solution of initial-value problems in ordinary differential equations. In this paper, we show that adaptive step-size control can be incorporated within a family of parallel time integrators known as revisionist integral deferred correction (RIDC) methods. The RIDC framework allows for various strategies to implement stepsize control, and we report results from exploring a few of them.

UR - http://hdl.handle.net/10754/599508

UR - http://msp.org/camcos/2015/10-1/p01.xhtml

UR - http://www.scopus.com/inward/record.url?scp=84929404812&partnerID=8YFLogxK

U2 - 10.2140/camcos.2015.10.1

DO - 10.2140/camcos.2015.10.1

M3 - Article

SN - 2157-5452

VL - 10

SP - 1

EP - 25

JO - Communications in Applied Mathematics and Computational Science

JF - Communications in Applied Mathematics and Computational Science

IS - 1

ER -

Revisionist integral deferred correction with adaptive step-size control

Abstract

Access to Document

Other files and links

Fingerprint

Cite this