THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION
Abstract
In scientific studies involving norm calculations, the choice of the norm affects the obtained results. We have aimed to examine the behavior of the step sizes using different norms and norm inequalities in step size strategy obtained in \cite{Kızılkan 1} for linear Cauchy problems.
Keywords
References
- [1] Celik Kizilkan, G. and Aydn, K., Step Size Strategies Based on Error Analysis for The Linear Systems, SDU Journal of Science (e-journal), Vol:6, No.2 (2011), 149-159.
- [2] Celik Kizilkan, G.,Step size strategies on the numerical integration of the systems of differential equations,Ph.D. Thesis, Graduate Natural and Applied Sciences, Seluk University, Konya, 2009 (in Turkish).
- [3] Celik Kizilkan, G.,On the nding of step size in the numerical integration of initial value problem,Master Thesis, Graduate Natural and Applied Sciences, Seluk University, Konya, 2004 (in Turkish).
- [4] Celik Kizilkan, G. and Aydin, K.,Step Size Strategy Based on Error Analysis, SUFEFD, Vol: 25 (2005), 79-86 (in Turkish).
- [5] Golub, G. H. and Van Loan, C.F., Matrix Computations, third edition, The Johns Hopkins University Press, London, 1996.
- [6] Quarteroni, A., Sacco, R. and Saleri, F.,Numerical Mathematics, Springer Verlag, New York, 2000.
- [7] Bulgak, A. and Bulgak, H.,Linear Algebra, Seluk University Applied Mathematics Research Center Publications, Konya, 2001.
- [8] Tasci, D.,Linear Algebra, Gazi Bookstore, Ankara, 2005.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 1, 2016
Submission Date
July 16, 2015
Acceptance Date
-
Published in Issue
Year 2016 Volume: 4 Number: 2
