ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Limit Shadowing and Discretizations of Parabolic Equations


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.

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