Padé Approximants, Their Properties, and Applications to Hydrodynamic Problems

This paper is devoted to an overview of the basic properties Padé transformation and its generalizations. The merits limitations described approaches are discussed. Particular attention paid application approximants in mechanics liquids gases. One disadvantages asymptotic methods that standard ansatz form a power series some parameter usually does not reflect symmetry original problem. search for ansatzes adequately take into account this has become one most important problems analysis. developed technique from point view approximation.