"On some properties of the projection operator for a class of stabilization
algorithms"
Kornev A.A. 
The projection operator Q[a] acting from the linear space of the functions a(x) ∈ span{sin ix, i ≥ 1} given on the segment [0,π] onto the subspace of the functions ã(x) ∈ span{sin ix, i > i_{0}} is studied theoretically and numerically. The corresponding projection is performed along the subspace of the functions l(x) ∈ span{sin ix, i=1,...,i_{0}}, where sin ix = χ _{δ}(x)sin ix, χ _{δ}(x) is the characteristic function χ _{δ}(x) of the interval [0,δ]. The obtained results are used to solve the problem of stabilization with respect to the initial data of solutions to the model nonstationary equations. Keywords: numerical methods, projection operator, stabilization.

