Sixth order compact approximation with completed Richardson extrapolation

Ruxin Dai; Jun Zhang; Yin Wang

doi:10.1109/ICCIS.2013.260

Sixth order compact approximation with completed Richardson extrapolation

Ruxin Dai, Jun Zhang, Yin Wang

Computer Science

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

Abstract

The sixth order compact approximation described in this article is a kind of Richardson extrapolation-based method, which uses two different scale grids to improve the order of accuracy of numerical solutions. Since the extrapolated solution with higher order accuracy is on the coarse grid, we consider to use completed Richardson extrapolation to get a higher order solution on the entire fine grid. Both truncation error analysis and numerical investigation are conducted to compare the proposed method and an existed Richardson extrapolation-based sixth order method with operator based interpolation.

Original language	English
Title of host publication	Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013
Pages	966-971
Number of pages	6
DOIs	https://doi.org/10.1109/ICCIS.2013.260
State	Published - 2013
Event	2013 5th International Conference on Computational and Information Sciences, ICCIS 2013 - Shiyan, Hubei, China Duration: Jun 21 2013 → Jun 23 2013

Publication series

Name	Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013

Conference

Conference	2013 5th International Conference on Computational and Information Sciences, ICCIS 2013
Country/Territory	China
City	Shiyan, Hubei
Period	6/21/13 → 6/23/13

Keywords

Richardson extrapolation
Sixth order compact scheme
Truncation error analysis

ASJC Scopus subject areas

Information Systems

Access to Document

10.1109/ICCIS.2013.260

Cite this

Dai, R., Zhang, J., & Wang, Y. (2013). Sixth order compact approximation with completed Richardson extrapolation. In Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013 (pp. 966-971). Article 6643176 (Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013). https://doi.org/10.1109/ICCIS.2013.260

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title = "Sixth order compact approximation with completed Richardson extrapolation",

abstract = "The sixth order compact approximation described in this article is a kind of Richardson extrapolation-based method, which uses two different scale grids to improve the order of accuracy of numerical solutions. Since the extrapolated solution with higher order accuracy is on the coarse grid, we consider to use completed Richardson extrapolation to get a higher order solution on the entire fine grid. Both truncation error analysis and numerical investigation are conducted to compare the proposed method and an existed Richardson extrapolation-based sixth order method with operator based interpolation.",

keywords = "Richardson extrapolation, Sixth order compact scheme, Truncation error analysis",

author = "Ruxin Dai and Jun Zhang and Yin Wang",

note = "Copyright: Copyright 2014 Elsevier B.V., All rights reserved.; 2013 5th International Conference on Computational and Information Sciences, ICCIS 2013 ; Conference date: 21-06-2013 Through 23-06-2013",

year = "2013",

doi = "10.1109/ICCIS.2013.260",

language = "English",

isbn = "9780769550046",

series = "Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013",

pages = "966--971",

booktitle = "Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013",

}

Dai, R, Zhang, J & Wang, Y 2013, Sixth order compact approximation with completed Richardson extrapolation. in Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013., 6643176, Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013, pp. 966-971, 2013 5th International Conference on Computational and Information Sciences, ICCIS 2013, Shiyan, Hubei, China, 6/21/13. https://doi.org/10.1109/ICCIS.2013.260

Sixth order compact approximation with completed Richardson extrapolation. / Dai, Ruxin; Zhang, Jun; Wang, Yin.
Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013. 2013. p. 966-971 6643176 (Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013).

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

TY - GEN

T1 - Sixth order compact approximation with completed Richardson extrapolation

AU - Dai, Ruxin

AU - Zhang, Jun

AU - Wang, Yin

PY - 2013

Y1 - 2013

N2 - The sixth order compact approximation described in this article is a kind of Richardson extrapolation-based method, which uses two different scale grids to improve the order of accuracy of numerical solutions. Since the extrapolated solution with higher order accuracy is on the coarse grid, we consider to use completed Richardson extrapolation to get a higher order solution on the entire fine grid. Both truncation error analysis and numerical investigation are conducted to compare the proposed method and an existed Richardson extrapolation-based sixth order method with operator based interpolation.

AB - The sixth order compact approximation described in this article is a kind of Richardson extrapolation-based method, which uses two different scale grids to improve the order of accuracy of numerical solutions. Since the extrapolated solution with higher order accuracy is on the coarse grid, we consider to use completed Richardson extrapolation to get a higher order solution on the entire fine grid. Both truncation error analysis and numerical investigation are conducted to compare the proposed method and an existed Richardson extrapolation-based sixth order method with operator based interpolation.

KW - Richardson extrapolation

KW - Sixth order compact scheme

KW - Truncation error analysis

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BT - Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013

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Y2 - 21 June 2013 through 23 June 2013

ER -

Sixth order compact approximation with completed Richardson extrapolation

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Keywords

ASJC Scopus subject areas

Access to Document

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