This paper is devoted to the computational and theoretical assessment of the physical and technical characteristics of the effect of intense energy fluxes on the target in the magneto-inertial method of plasma confinement. The results of calculating the effect of intense broadband radiation fluxes on a single-layer cylindrical target are presented. Based on these calculations, the possibility of creating compact neutron generators is estimated. The processes of radiation transfer, thermal and electromagnetic processes, including the coefficients of thermal conductivity of electrons and ions and suprathermal electrons, are studied. A new algorithm for the numerical solution of the hyperbolic and parabolic (thermal) parts of the plasma dynamics equations is briefly described.