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The data on number of registered cases of COVID-19 disease in twenty Europeancountries is analyzed by the least-squares fitting procedure with genericanalytic functions. Three regimes of the expansion of the disease areidentified and quantified -- early exponential expansion, damped exponential,and linear expansion. Differences among countries in the early expansion periodare quantified. The velocity of the expansion in the exponential regime lieswithin one standard deviation from the average value for 11 countries. Thenumber of infected individuals at the initial time is excessively high forItaly, 7 standard deviations from the average value.  Method for predicting the expansion based on extrapolation in the parametricspace is presented. One-week predictions based on extrapolations have averageprecision of 18% and 29% during the later period of the damped exponentialexpansion for the case of Italy and Czechia, respectively. The method based onextrapolations in the parametric space may provide an elementary method toquantify the impact of restrictive measures on the spreading of the disease.

Parametric analysis of COVID-19 expansion in European countries in the period of February to June 2020