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Regression of Experimental Data Using an Orthogonalized Polynomial

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A quantitative comparison is made between two regression algorithms based on orthogonalized and non-orthogonal polynomials. An algorithm for modeling experimental measurements of the rates of chemical reactions is constructed as a test. The advantages of using an orthogonalized polynomial are shown.

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REFERENCES

  1. Dnestrovskaya, E.Yu. and Kalitkin, N.N., Preprint of the Keldysh Appl. Math. Inst., Moscow, 1987, no. 181.

  2. Belov, A.A. and Kalitkin, N.N., Dokl. Math., 2016, vol. 94, p. 602.

    Article  Google Scholar 

  3. Belov, A.A. and Kalitkin, N.N., Zh. Vychisl. Mat. Mat. Fiz., 2017, vol. 9, p. 281.

    Google Scholar 

  4. Kondrat’ev, V.N. and Nikitin, E.E., Kinetika i mekhanizm gazoofaznykh khimicheskikh reaktsii (Kinetics and Mechanism of Gas-Phase Chemical Reactions), Moscow: Nauka, 1974.

  5. Korolyuk, V.S., Portenko, N.I., Skorokhod, A.V., and Turbin, A.F., Spravochnik po teorii veroyatnostei i matematicheskoi statistike (Handbook of Probability Theory and Mathematical Statistics), Moscow: Nauka, 1985.

  6. Belov, A.A. and Kalitkin, N.N., Zh. Vychisl. Mat. Mat. Fiz., 2020, vol. 60, no. 7, p. 105.

    Google Scholar 

  7. NIST Chemical Kinetics Database. http://kinetics.nist.gov/kinetics.

  8. Burkholder, J.B., Sander, S.P., Abbatt, J.P.D., et al., Chemical kinetics and photochemical data for use in atmospheric studies, Evaluation no. 18, JPL Publication 15-10, Pasadena: Jet Propul. Lab., 2015.

    Google Scholar 

  9. Smith, G.P., Golden, D.M., Frenklach, M., et al., GRI-Mech 3.0, Berkeley University of California, Gas Res. Inst., 2002.

    Google Scholar 

  10. Baulch, D.L., et al., J. Phys. Chem. Ref. Data, 2005, vol. 34, no. 3, p. 757.

    Article  ADS  Google Scholar 

  11. Topor, O.I., Belov, A.A., and Fedorov, I.A., Bull. Russ. Acad. Sci.: Phys., 2021, vol. 85, no. 2, p. 196.

    Article  Google Scholar 

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Funding

The work was supported by the President of the Russian Federation, project no. MK-3630.2021.1.1.

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Correspondence to O. I. Topor.

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The authors declare they have no conflicts of interest.

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Translated by O. Ponomareva

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Topor, O.I., Belov, A.A. & Borodachev, L.V. Regression of Experimental Data Using an Orthogonalized Polynomial. Bull. Russ. Acad. Sci. Phys. 86, 1320–1323 (2022). https://doi.org/10.3103/S1062873822110314

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  • DOI: https://doi.org/10.3103/S1062873822110314

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