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Specialization: 010700 Physics Curriculum: 22 Computational Physics and Computer Based Systems of Scientific Researches Supervisor of the curriculum: Prof. S.L. Yakovlev Department of computational physics Scientific advisor: Prof. I.Y. Yurova Reviewer: Prof. D. A. Telnov Applying of weakly converged integrals in ionization theory of neutral targets with electron impact. S.Y. Elts In this work the analytical approximations of weakly converged integrals in 1C (one coulomb function in the final state wave function), and 2CZ (2 coulomb functions with effective charges in the final state wave function) approaches are presented. For electrons in continuous spectrum the electron-electron interaction is considered by the special form of final state wave function. Effective charge of electron-electron interaction in coulomb function has been included. The three dimensional images for TDCS (Triply Differential Cross Section) calculated values are obtained for H, Li, Na in 1s, 2s, and 3s states. A simple approximation of the weakly converged integrals in 2CZ has quite good accordance with numerically obtained data. The list of publications: … Scientific advisor: I.Y. Yurova Reviewer: D. A. Telnov S. Y. Elts