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

Year 2016, Volume: 4 Issue: 2, 116 - 123, 01.10.2016

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.

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.
  • [9] Chapra, S.C. and Canale, R.P., Numerical methods for engineers, sixth edition, McGraw Hill, New York, 2010.
  • [10] Acton, A.C., A brief overview of the condition number (25 October 2008). http://ansys.net/ansys/tips/acton20080825-condition number.pdf (Access date: 17.04.2016)

Year 2016, Volume: 4 Issue: 2, 116 - 123, 01.10.2016

Abstract

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.
  • [9] Chapra, S.C. and Canale, R.P., Numerical methods for engineers, sixth edition, McGraw Hill, New York, 2010.
  • [10] Acton, A.C., A brief overview of the condition number (25 October 2008). http://ansys.net/ansys/tips/acton20080825-condition number.pdf (Access date: 17.04.2016)
There are 10 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

GULNUR CELIK Kızılkan

AHMET Duman

KEMAL Aydın

Submission Date July 16, 2015
Publication Date October 1, 2016
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

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.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. [Internet]. 2016 Oct. 1;4(2):116-23. Available from: https://izlik.org/JA39ZC25XJ
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