Convergence theorems for Newton-like methods using data from a set or a single point and outer inverses.
Convergence to compact sets of inexact orbits of nonexpansive mappings in Banach and metric spaces.
Das modifizierte Newton-Verfahren in verallgemeinerten Banach-Räumen.
Decomposition conditions for two-point boundary value problems.
Degree of convergence of iterative algorithms for boundedly Lipschitzian strong pseudocontractions.
Diskrete Approximation von Eigenwertproblemen. I. Qualitative Konvergenz.
Diskrete Approximation von Eigenwertproblemen. II. Konvergenzordnung.
Diskrete Approximation von Eigenwertproblemen. III. Asymptotische Entwicklungen. - Discrete Approximation of Eigenvalue-Problems. III. Asymptotic Expansions.
Does Newton's method for set-valued maps converges uniformly in mild differentiability context?
Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben
Enlargement Procedure for Resolution of Singularities at Simple Singular Solutions of Nonlinear Equations.
Erratum to “Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces”.
Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics
In this work, the error behaviour of high-order exponential operator splitting methods for the time integration of nonlinear evolutionary Schrödinger equations is investigated. The theoretical analysis utilises the framework of abstract evolution equations on Banach spaces and the formal calculus of Lie derivatives. The general approach is substantiated on the basis of a convergence result for exponential operator splitting methods of (nonstiff) order p applied to the multi-configuration time-dependent...
Error Bounds for Newton's Iterates Derived from the Kantorovich Theorem.
Error bounds for Newton's method under a weak Kantorovich-type hypothesis.
Error bounds for the secant method
Error Bounds of Newton Type Process on Banach Spaces.
Error estimates and step-size control for the approximate solution of a first order evolution equation
Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Error estimates for some quasi-interpolation operators
We derive explicit bounds on the constants in error estimates for two quasi-interpolation operators which are modifications of the “classical” Clément-operator. These estimates are crucial for making explicit the constants which appear in popular a posteriori error estimates. They are also compared with corresponding estimates for the standard nodal interpolation operator.