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Spline interpolation techniques applied to the study of geophysical data

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  • Mariani, Maria C.
  • Basu, Kanadpriya

Abstract

This work is devoted to the study of geophysical data by using different spline interpolation techniques. A spatial analysis of the California earthquakes geological data was performed, some of the methods proved to be more efficient than others depending on the number of data points considered. Overall, this class of interpolation surface proved to be a very powerful tool for analyzing geophysical data.

Suggested Citation

  • Mariani, Maria C. & Basu, Kanadpriya, 2015. "Spline interpolation techniques applied to the study of geophysical data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 68-79.
    • Handle: RePEc:eee:phsmap:v:428:y:2015:i:c:p:68-79
    DOI: 10.1016/j.physa.2015.02.014
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    References listed on IDEAS

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    1. Anders Johansen & Olivier Ledoit & Didier Sornette, 2000. "Crashes As Critical Points," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 219-255.
    2. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871.
    3. Mariani, M.C. & Florescu, I. & SenGupta, I. & Beccar Varela, M.P. & Bezdek, P. & Serpa, L., 2013. "Lévy models and scale invariance properties applied to Geophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 824-839.
    4. Sornette, Didier & Johansen, Anders, 1997. "Large financial crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 411-422.
    5. Mariani, M.C. & Bezdek, P. & Serpa, L. & Florescu, I., 2011. "Ising type models applied to Geophysics and high frequency market data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4396-4402.
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    Cited by:

    1. Kanadpriya Basu & Maria C. Mariani & Laura Serpa & Ritwik Sinha, 2015. "Evaluation of Interpolants in Their Ability to Fit Seismometric Time Series," Mathematics, MDPI, vol. 3(3), pages 1-24, August.

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