ABSTARCT Numerical algorithms of the intensive charged particle beams calculation with the increased accuracy, based on the nearcathode singularity isolation are suggested and realized by decomposition of the computational domain to the nearcathode and the basic subdomains. Calculations in nearcathode subdomam are carried out on a basis of the antiparaxial V.A. Syrovoy's theory, which provides adequate behavior of the solution. and in the basic subdomain the numerical algorithms are used. The examples ofnumerical test problems calculations are given.
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