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Summary form only given. A computer code for numerical simulation of nonstationary processes in resonant microwave oscillators has been developed. The code is based on the non-stationary theory of excitation of a periodic waveguide structure modeled as a chain of coupled oscillators (cavities). Such an approach allows one to consider properly the dispersion of slow-wave structure (SWS), and to model processes in the center of the SWS pass band, as well as near cut-off/stopband. The electron motion is modeled by "particles in cells" (PIC) method. Results of numerical simulation of nonstationary operation of two devices are presented. The first one is a new promising device, counter-streaming electron-beam oscillator (CSEBO). A CSEBO is comprised of a couple of two-cavity klystrons, running in parallel and pierced by electron beams moving in opposite directions. The output cavity of each klystron is coupled with the input cavity of another one and visa versa . The second one is a coupled-cavity TWT. The results of PIC simulations are compared with the data obtained earlier by simulation of simplified models, as well as with experimental studies. The developed code may be applied for solution of many practical problems, such as amplification of multi-frequency signals, self-modulation and chaos generation, parasitic self-excitation of amplifiers, and short pulses amplification or generation.