Numerical functional integration method and some its applications

We discuss the employment of the numerical functional integration method in solution of the wide range of problems of physics and mathematics, including the problems of quantum mechanics, quantum field theory, study of differential operators and solution of various differential equations of mathematical physics. The rigorous definition of functional integral in complete separable metric space is given. The results in the field of theoretical study of functional integrals, elaboration of new method for their numerical evaluation and its application to investigation of nonperturbative phenomena, topological structure of vacuum, problems of tunnelling, study of many-particle quantum systems, solution of the nuclear physics problems are presented.