On the stochastic regularity of sequence transformations operating in a Banach space
On the worst scenario method: Application to a quasilinear elliptic 2D-problem with uncertain coefficients
We apply a theoretical framework for solving a class of worst scenario problems to a problem with a nonlinear partial differential equation. In contrast to the one-dimensional problem investigated by P. Harasim in Appl. Math. 53 (2008), No. 6, 583–598, the two-dimensional problem requires stronger assumptions restricting the admissible set to ensure the monotonicity of the nonlinear operator in the examined state problem, and, as a result, to show the existence and uniqueness of the state solution....
Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations.
Optimal radius of convergence of interpolatory iterations for operator equations.
Optimale Approximation linearer Funktionale auf periodischen Funktionen.
Optimale Interpolations- und Approximationssysteme.
Original title unknown
Ostrowski-Kantorovich theorem and -order of convergence of Halley method in Banach spaces
Ostrowski-Kantorovich theorem of Halley method for solving nonlinear operator equations in Banach spaces is presented. The complete expression of an upper bound for the method is given based on the initial information. Also some properties of -order of convergence and sufficient asymptotic error bound will be discussed.
Overimplicit multistep methods