Аннотация:http://congressline.hu/enoc2017/abstracts/444.pdf
The methods which are intermediate between purely analytical and purely computational ones belong to a semi-analytical
group, according to the classification by Milton Van Dyke. They are mainly the methods of processing the series and sequences.
This group comprises the well-known algorithms based on the Padé approximants and continuous fractions as well as convergence
acceleration algorithms, Domb-Sykes test, etc. The authors use this technique to investigate unsteady inviscid incompressible free-
boundary flows. The solution is obtained in the form of a power series in time, the coefficients for it being computed. The obtained
series are summarized and singularities are revealed.