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  1. Generalization of Resonant Equations for the Laguerre- and Legendre-Type Polynomials to Equations of the Fourth Order

    Article • Ukrainian Mathematical Journal, May 2020, Springer Science + Business Media

    Nataliia Romaniuk

  2. Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm–Liouville problems with polynomial coefficients

    Article • Journal of Computational and Applied Mathematics, March 2019, Elsevier

    Nataliia Romaniuk, Volodymyr Makarov

  3. Symbolic Algorithm of the Functional-Discrete Method for a Sturm–Liouville Problem with a Polynomial Potential

    Article • Computational Methods in Applied Mathematics, October 2017, De Gruyter

    Nataliia Romaniuk, Volodymyr Makarov

  4. Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type

    Article • Computational Methods in Applied Mathematics, June 2017, De Gruyter

    Ivan Gavrilyuk, Nataliia Romaniuk, Volodymyr Makarov

  5. Superexponentially Convergent Algorithm for an Abstract Eigenvalue Problem with Applications to Ordinary Differential Equations

    Article • Journal of Mathematical Sciences, December 2016, Springer Science + Business Media

    Nataliia Romaniuk, Volodymyr Makarov

  6. The FD-method for an eigenvalue problem in a case where the base problem has eigenvalues of arbitrary multiplicities in a Hilbert space

    Article • Reports of the National Academy of Sciences of Ukraine, May 2015, Co. Ltd. Ukrinformnauka

    Nataliia Romaniuk

  7. New properties of the FD-method in its applications to the Sturm-Liouville problems

    Article • Reports of the National Academy of Sciences of Ukraine, February 2014, Co. Ltd. Ukrinformnauka

    Nataliia Romaniuk