5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.NA2018★ 1 cited
Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients
Volodymyr Makarov, Nataliia Romaniuk
A new symbolic algorithmic implementation of the functional-discrete (FD-) method is developed and justified for the solution of fourth order Sturm--Liouville problem on a finite i…
math.NA2017★ 3 cited
Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial Potential
Volodymyr Makarov, Nataliia Romaniuk
A new symbolic algorithmic implementation of the general scheme of the exponentially convergent functional-discrete (FD-) method is developed and justified for the Sturm-Liouville…
math.NA2017★ 5 cited
Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type
Ivan Gavrilyuk, Volodymyr Makarov, Nataliia Romaniuk
A new algorithm for eigenvalue problems for the fractional Jacobi type ODE is proposed. The algorithm is based on piecewise approximation of the coefficients of the differential eq…