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Works cited by this work

23 works

Work: Optimal quadrature formulas for approximate calculation of rapidly oscillating integrals

  1. 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
    ABI

  2. Optimal quadrature formulas for oscillatory integrals in the Sobolev space

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    ArticleMathematical functions and polynomialsJournal of Inequalities and Applications202223 citations
    ABI

  3. III.—On a Quadrature Formula for Trigonometric Integrals

    L. N. G. Filon

    Article193018 citations
    ABI

  4. Efficient quadrature of highly oscillatory integrals using derivatives

    Arieh Iserles, Syvert P. Nørsett

    Article200514 citations
    ABI

  5. Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures

    Gradimir V. Milovanović

    Article199812 citations
    ABI

  6. Interpolation Processes: Basic Theory and Applications

    G. Mastroianni, Gradimir V. Milovanović

    Book201011 citations
    ABI

  7. A Modification of Filon's Method of Numerical Integration

    Edward A. Flinn

    Article19605 citations
    ABI

  8. Moment-free numerical integration of highly oscillatory functions

    Sheehan Olver

    Article20055 citations
    ABI

  9. Optimal Quadrature Formulas for Calculating Integrals of Rapidly Oscillating Functions

    Kholmat Shadimetov, Otabek Gulomov

    ArticleMathematical Approximation and IntegrationJournal of Mathematical Sciences20233 citations
    ABI

  10. Computing Integrals of Highly Oscillatory Special Functions Using Complex Integration Methods and Gaussian Quadratures

    Gradimir V. Milovanović

    Article20173 citations
    ABI

  11. On Quadrature Methods for Highly Oscillatory Integrals and Their Implementation

    Arieh Iserles, Syvert P. N�rsett

    Article20043 citations
    ABI

  12. On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators

    A. Iserles

    Article20043 citations
    ABI

  13. Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations

    G. Monegato, L. Scuderi

    Chapter20102 citations
    ABI

  14. An improved Levin quadrature method for highly oscillatory integrals

    Jianbing Li, Xuesong Wang, Tao Wang +1

    Article20102 citations
    ABI

  15. A high order, progressive method for the evaluation of irregular oscillatory integrals

    G. A. Evans, J.R. Webster

    Article19972 citations
    ABI

  16. Computation of irregularly oscillating integrals

    Thilo Sauter

    Article20002 citations
    ABI

  17. An expansion method for irregular oscillatory integrals

    G. A. Evans

    Article19972 citations
    ABI

  18. Two robust methods for irregular oscillatory integrals over a finite range

    G. A. Evans

    Article19942 citations
    ABI

  19. Quadrature formulas obtained by variable transformation and the DE-rule

    Masatake Mori

    Article19852 citations
    ABI

  20. On the numerical quadrature of highly-oscillating integrals I: Fourier transforms

    Arieh Iserles

    Article20042 citations
    ABI

  21. Integrating oscillatory functions in M<scp>atlab</scp>

    L. F. Shampine

    Article20112 citations
    ABI

  22. On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation

    Daan Huybrechs, Stefan Vandewalle

    Article20062 citations
    ABI

  23. Untitled

    Other1 citations
    ABI