The present article considers the phenomenon of stiffness, a phenomenon that is well known for dynamical systems. It often arises in the nonlinear filtration problem and is responsible for the failure in the stability of numerical methods applied in the integration of equations of quasi-optimal estimation. A method is developed by means of which this phenomenon may be eliminated. The method also guarantees a required degree of stability of the numerical methods employed here and greatly increases the length of the integration step.
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