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for setting an initial approximation for the numerical solution of the Laplace equation. We investigate

for the Rydberg states is analyzed, and a high-quality numerical approximation is found, which ensures 7-8-digit

(FODEs) were explored. To tackle these problems numerically, we introduce novel compact four

selected spaces, allows to use approximate methods for its solving. We propose a general projection method

in article linear and nonlinear, and also the review of approximate methods of their decision. Expediency

This article presents a numerical method to determine the approximate solutions of the Lienard

the review of approximate methods of their decision. Expediency of use of this or that numerical methods

approximation in space is employed. To construct approximation in time, standard two-level schemes are used

A variational eigenvalue problem in an infinite-dimensional Hilbert space is approximated by a

belongs to the class of cutting-plane methods. When constructing approximate solutions to the problem

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