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33 works

Work: Application of optimal quadrature formulas for reconstruction of CT images

  1. Untitled

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  2. The Coefficients of Optimal Quadrature Formulas

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  3. Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$

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    ArticleMathematical functions and polynomialsNumerical Algorithms201635 citations
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  4. The Theory of Cubature Formulas

    С. Л. Соболев, V. L. Vaskevich

    Book199730 citations
    ABI

  5. On an optimal quadrature formula for approximation of Fourier integrals in the space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e947" altimg="si5.svg"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math>

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    ArticleNumerical methods in inverse problemsJournal of Computational and Applied Mathematics202027 citations
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  6. Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction

    A.R. Hayotov, Seok Hwi Jeon, C.-O. Lee +1

    ArticleNumerical methods in inverse problemsFilomat202127 citations
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  7. III.—On a Quadrature Formula for Trigonometric Integrals

    L. N. G. Filon

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  8. Selected Works of S.L. Sobolev

    Demidenko, Gennadii, Vaskevich, Vladimir

    Book200617 citations
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  9. Efficient quadrature of highly oscillatory integrals using derivatives

    Arieh Iserles, Syvert P. Nørsett

    Article200514 citations
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  10. Efficient computation of highly oscillatory integrals with Hankel kernel

    Zhenhua Xu, Gradimir V. Milovanović, Shuhuang Xiang

    Article201513 citations
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  11. Numerical Integration of Highly Oscillating Functions

    Gradimir V. Milovanović, Marija P. Stanić

    Chapter201412 citations
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  12. Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures

    Gradimir V. Milovanović

    Article199812 citations
    ABI

  13. Optimal Quadrature Formulas for the Sobolev Space $$H^1$$ H 1

    Shun Zhang, Erich Novak

    Article201812 citations
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  14. Untitled

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  15. Untitled

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  16. Untitled

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  17. Optimal quadrature formulas

    Meishe Isakovich Levin, Jury Girshovich

    Book197910 citations
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  18. Complexity of oscillatory integration for univariate Sobolev spaces

    Erich Novak, Mario Ullrich, Henryk Woźniakowski

    Article201410 citations
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  19. On optimal quadrature formulas

    A. V. Gavrilov

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  20. Evaluation of the integrals of oscillating functions by interpolation at nodes of gaussian quadratures

    Н.С. Бахвалов, Л.Г. Васильева

    Article19687 citations
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  21. Numerical approximation of highly oscillatory integrals

    Sheehan Olver

    Dissertation20087 citations
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  22. A quadrature formula for the Fourier integral based on the use of a cubic spline

    V.A. Avdeyenko, A. A. Malyukov

    Article19896 citations
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  23. NUMERICAL PROCESSES IN DIFFERENTIAL EQUATIONS

    L. Fox

    Article19676 citations
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  24. Numerical Processes in Differential Equations

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  25. The Mathematics of Medical Imaging: A Beginner’s Guide

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