Determination of a Control Parameter for the Difference Schrödinger Equation

Abstract EN

The first order of accuracy difference scheme for the numerical solution of the boundary value problem for the differential equation with parameter p, i(du(t)/dt)+Au(t)+iu(t)=f(t)+p, 0

The well-posedness of this difference scheme is established.

The stability inequalities for the solution of difference schemes for three different types of control parameter problems for the Schrödinger equation are obtained.