LANDW EBER ITERATION METHOD FOR SOLVING OPERATOR EQUATIONS L(U ?)=F ?

The article is devoted to one of the modern ways of research in the theory of ill-posed problems ? inverse problems for hyperbolic equations. The solution of inverse problems was suggested by Landweber. The aim of this work is development of mathematical models and their efficient numerical methods for solving inverse problems of fundamental research. The research problem is to develop a mathematical model for solving inverse problems of Landweber method hyperbolic type; development of a numerical algorithm for solving nonlinear operator equations based on ENO; software implementation of numerical methods for solving these equations; explore and analyze the graphs produced during the study. The urgency of solving inverse problems for hyperbolic type equations by Landweber is caused by their decision ? without the use of computer technology it is almost impossible and the only means for the study of complex unsteady nonlinear hyperbolic equations. The article deals with the coefficient and boundary inverse problems for hyperbolic equations by Landweber. Most of the complexity of solving such problems caused them non-linearity and incorrect, and the complexity manifested itself most often in the instability error in the input data required the development of special regularizing methods and computational algorithms. Developed in the course of research numerical algorithm and software complex calculations can be effectively used for qualitative and quantitative analysis in the design of various configurations of aircraft to create a controlled effort; with projections of real firing installations; for the prediction of environmental pollution.