Research Article

THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION

Volume: 4 Number: 2 October 1, 2016
EN

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. [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. [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. [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. [4] Celik Kizilkan, G. and Aydin, K.,Step Size Strategy Based on Error Analysis, SUFEFD, Vol: 25 (2005), 79-86 (in Turkish).
  5. [5] Golub, G. H. and Van Loan, C.F., Matrix Computations, third edition, The Johns Hopkins University Press, London, 1996.
  6. [6] Quarteroni, A., Sacco, R. and Saleri, F.,Numerical Mathematics, Springer Verlag, New York, 2000.
  7. [7] Bulgak, A. and Bulgak, H.,Linear Algebra, Seluk University Applied Mathematics Research Center Publications, Konya, 2001.
  8. [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

APA
Kızılkan, G. C., Duman, A., & Aydın, K. (2016). THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION. Konuralp Journal of Mathematics, 4(2), 116-123. https://izlik.org/JA39ZC25XJ
AMA
1.Kızılkan GC, Duman A, Aydın K. THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION. Konuralp J. Math. 2016;4(2):116-123. https://izlik.org/JA39ZC25XJ
Chicago
Kızılkan, GULNUR CELIK, AHMET Duman, and KEMAL Aydın. 2016. “THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION”. Konuralp Journal of Mathematics 4 (2): 116-23. https://izlik.org/JA39ZC25XJ.
EndNote
Kızılkan GC, Duman A, Aydın K (October 1, 2016) THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION. Konuralp Journal of Mathematics 4 2 116–123.
IEEE
[1]G. C. Kızılkan, A. Duman, and K. Aydın, “THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION”, Konuralp J. Math., vol. 4, no. 2, pp. 116–123, Oct. 2016, [Online]. Available: https://izlik.org/JA39ZC25XJ
ISNAD
Kızılkan, GULNUR CELIK - Duman, AHMET - Aydın, KEMAL. “THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION”. Konuralp Journal of Mathematics 4/2 (October 1, 2016): 116-123. https://izlik.org/JA39ZC25XJ.
JAMA
1.Kızılkan GC, Duman A, Aydın K. THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION. Konuralp J. Math. 2016;4:116–123.
MLA
Kızılkan, GULNUR CELIK, et al. “THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION”. Konuralp Journal of Mathematics, vol. 4, no. 2, Oct. 2016, pp. 116-23, https://izlik.org/JA39ZC25XJ.
Vancouver
1.GULNUR CELIK Kızılkan, AHMET Duman, KEMAL Aydın. THE ANALYSIS OF THE EFFECT OF THE NORMS IN THE STEP SIZE SELECTION FOR THE NUMERICAL INTEGRATION. Konuralp J. Math. [Internet]. 2016 Oct. 1;4(2):116-23. Available from: https://izlik.org/JA39ZC25XJ
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.