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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Approximation of Discontinuous Function of Two Variables by Approximating Discontinuous Bilinear Spline Using the Least Squares Method (Rectangular Elements)

巻 44, 発行 5, 2012, pp. 48-56
DOI: 10.1615/JAutomatInfScien.v44.i5.50
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要約

We constructed discontinuous bilinear approximating spline, which coefficients are determined by the least squares method, for approximation of discontinuous function of two variables with definition domain, which can be partitioned into rectangular elements. The constructed discontinuous splines include, in particular, classical continuous splines of the first degree.

参考
  1. Korneichuk N.P. , Splines in approximation theory [in Russian].

  2. Varga R. , Functional analysis and approximation theory in numerical analysis [Russian translation].

  3. Zavyalov Yu.S., Kvasov B.I., Miroshnichenko V.L. , Methods of spline-functions, [in Russian].

  4. Vasilenko V.A. , Spline-functions: theory, algorithms, software [in Russian].

  5. Ciarlet Ph. , The finite element method for elliptic problems [Russian translation].

  6. Popov B.A. , Uniform approximation by splines [in Russin].

  7. Lytvyn O.N., Pershina Yu.I. , Approximation of discontinuous function by means of discontinuous splines.

  8. Pershina Yu.I. , Approximation of discontinuous functions of two variables by discontinuous splines on rectangular mesh.

によって引用された
  1. Lytvyn Oleg M., Pershyna Iuliia, Nechuiviter Olesia, Lytvyn Oleg O., Restoration of Discontinuous Functions by Interpolation Data Using Rectangular Elements, 2019 9th International Conference on Advanced Computer Information Technologies (ACIT), 2019. Crossref

  2. Lytvyn Oleg O., Lytvyn Oleg M., Chorna Olena, Kaniuk Hennadii, Mathematical Spatial Minerals Distributing Model by Interlineation Methods of Matrix-functions, 2020 10th International Conference on Advanced Computer Information Technologies (ACIT), 2020. Crossref

  3. Lytvyn Oleg M., Zaluzhna Galina, Nefodova Inna, Pershyna Iuliia, Nechuiviter Olesia, General Method for Constructing of the Exact Solution of the Problem for Non-Stationary Heat Conductivity Equation in the Complex Field, 2020 10th International Conference on Advanced Computer Information Technologies (ACIT), 2020. Crossref

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