Stability with respect to the right-hand

Stability with respect to the right-hand side. [Pg.311]

Quite often, the reader can encounter the statement that stability with respect to the initial data implies stability with respect to the right-hand side . How is one to understand the nature of this assertion ... [Pg.392]

Stability with respect to the right-hand side. We now consider problem (lb) under conditions (9), (10) and (27), which are put together for later use. Since A and R are constant operators, identity (18) for (lb) is of the form... [Pg.435]

Observe that the stability with respect to the right-hand side and boundary conditions implies that the moments t and t can be arbitrarily taken from the interval... [Pg.616]

Methods for the convergence rates of additive schemes. So far we have established many times that approximation and stability of a difference scheme provide its convergence. For additive schemes we shall need stability with respect to the right-hand side so that it follows from the condition of summarized approximation... [Pg.620]

Stability with respect to the right-hand side. As a matter of fact, if a > 0, condition (23) given by... [Pg.311]

No doubt, it sounds interesting, but the discovery of stability with respect to the right-hand is of special merit in this matter. Letting... [Pg.319]

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