On Numerical Methods in LocalizationProblems

When solving localization problems numerically, the main task is to construct a universal section corresponding to a given localizing function. The paper proposes two methods for solving this problem that use estimates of the first- and second-order derivatives. A comparative analysis of these methods with the method based on the use of all nodes of a regular grid is carried out. A comparative analysis shows that the proposed methods are superior both in terms of computational complexity and in the quality of the resulting approximation of the universal section.