S. A. Kolbina
St.Petersburg State Electrotechnical University,
Chair of Mathematics N 2,
Prof. Popova st., 5, 197022, St.Petersburg, Russia
S. Yu. Pilyugin
St.Petersburg State University,
Chair of Differential Equations,
Bibliotechnaya sq., 2, 198904, St.Petersburg, Russia
We consider approximate solutions of parabolic equations on an infinite time interval obtained from a sequence of discretizations such that their time and space steps tend to 0. Conditions are given under which these solutions tend to exact ones. Rate of convergence is estimated.