Construction of Forecasts in Environmental Protection As a Solution to the Continuation Problem

We discuss the issues of solving a wide range of environmental forecasting and design problems, which are formulated as mathematical continuation problems. Our approach's main idea is that we improve the quality of state function recovery by applying sensitivity theory methods, solving inverse problems, and data assimilation problems. This approach is demonstrated for the urban air quality problem in the example of the city of Novosibirsk.