TY - GEN
T1 - Sixth order compact approximation with completed Richardson extrapolation
AU - Dai, Ruxin
AU - Zhang, Jun
AU - Wang, Yin
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
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
UR - http://www.scopus.com/inward/record.url?scp=84890872234&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84890872234&partnerID=8YFLogxK
U2 - 10.1109/ICCIS.2013.260
DO - 10.1109/ICCIS.2013.260
M3 - Conference contribution
AN - SCOPUS:84890872234
SN - 9780769550046
T3 - Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013
SP - 966
EP - 971
BT - Proceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013
T2 - 2013 5th International Conference on Computational and Information Sciences, ICCIS 2013
Y2 - 21 June 2013 through 23 June 2013
ER -