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Works cited by this work

18 works

Work: Optimization of difference formulas for solving differential equations in the Hilbert space

  1. Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsLobachevskii Journal of Mathematics202228 citations
    ABI

  2. Optimal quadratures in the sense of Sard in a Hilbert space

    A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201527 citations
    ABI

  3. Interpolation splines minimizing a semi-norm

    A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov

    ArticleAdvanced Numerical Analysis TechniquesCALCOLO201326 citations
    ABI

  4. Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

    Kh. M. Shadimetov, A.R. Hayotov, D.M. Akhmedov

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201524 citations
    ABI

  5. Construction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>-splines in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif" overflow="scroll"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mtext>,</mml:mtext><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> space by Sobolev method

    Alberto Cabada, A.R. Hayotov, Kh. M. Shadimetov

    ArticleAdvanced Numerical Analysis TechniquesApplied Mathematics and Computation201413 citations
    ABI

  6. Untitled

    Other8 citations
    ABI

  7. Optimization of explicit difference methods in the Hilbert space W2(2,1)

    Kholmat Shadimetov, A.R. Hayotov, Roziq Karimov

    Article20238 citations
    ABI

  8. Convergence and stability in the numerical integration of ordinary differential equations

    Germund Dahlquist

    Article19567 citations
    ABI

  9. On a construction method of optimal difference formulas

    Kholmat Shadimetov, Ravshan Mirzakabilov

    ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20215 citations
    ABI

  10. The numerical stability in solution of differential equations

    Emil Vitásek

    Chapter19694 citations
    ABI

  11. Optimal numerical differentiation usingN function evaluations

    J. Marshall Ash, Svante Janson, R. W. L. Jones

    Article19842 citations
    ABI

  12. On the equivalence of the continuous Adams–Bashforth method and Nordsieck’s technique for changing the step size

    N. S. Hoang, Roger B. Sidje

    Article20132 citations
    ABI

  13. New finite difference formulas for numerical differentiation

    Ishtiaq Rasool Khan, Ryoji Ohba

    Article20002 citations
    ABI

  14. On the continuous extension of Adams–Bashforth methods and the event location in discontinuous ODEs

    Marco Berardi, L. Lopez

    Article20112 citations
    ABI

  15. Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations

    Shirley Abelman, Kailash C. Patidar

    Article20072 citations
    ABI

  16. Finite Difference Method for a Second-order Ordinary Differential Equation with a Boundary Condition of the Third Kind

    P. K. Pandey

    Article20102 citations
    ABI

  17. New Numerical Methods for Solving Differential Equations

    Yogita Sukale, Varsha Daftardar‐Gejji

    Article20162 citations
    ABI

  18. Two-point block variable order step size multistep method for solving higher order ordinary differential equations directly

    Ahmad Fadly Nurullah Rasedee, Mohammad Hasan Abdul Sathar, Siti Raihana Hamzah +4

    Article20212 citations
    ABI