The computer code for direct integration of nonlinear Maxwell's equations is presented. The fundamental modification of the finite difference time domain technique that we achieved consists in the investgation of the dispersion properties and steadiness of the numerical scheme. In this way we have improved the agreement between the grid dispersion and real dispersion of the material medium by two orders of magnitude. This has allowed us to adapt the computer program to Workstation level. New opportunities have been opened up for computer simulation. In contrast to previous works dealing with CRAY computers the mathematical model developed allows us to investigate the nonlinear parametric interaction between nuclei and electrons of molecules in the high field. The modified computer code and new mathematical model provides facilities for the computations utmost degrees of laser ultrashort pulses amplification and compression and verify different ananlytical physical concepts in the field of nonlinear wave theory.
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