Diskrete Approximation von Eigenwertproblemen. III. Asymptotische Entwicklungen. - Discrete Approximation of Eigenvalue-Problems. III. Asymptotic Expansions.
Div-curl lemma revisited: Applications in electromagnetism
Two new time-dependent versions of div-curl results in a bounded domain are presented. We study a limit of the product , where the sequences and belong to . In Theorem 2.1 we assume that is bounded in the -norm and is controlled in the -norm. In Theorem 2.2 we suppose that is bounded in the -norm and is controlled in the -norm. The time derivative of is bounded in both cases in the norm of . The convergence (in the sense of distributions) of to the product of weak limits...
Does Newton's method for set-valued maps converges uniformly in mild differentiability context?
Double greedy algorithms: Reduced basis methods for transport dominated problems
The central objective of this paper is to develop reduced basis methods for parameter dependent transport dominated problems that are rigorously proven to exhibit rate-optimal performance when compared with the Kolmogorov n-widths of the solution sets. The central ingredient is the construction of computationally feasible “tight” surrogates which in turn are based on deriving a suitable well-conditioned variational formulation for the parameter dependent problem. The theoretical results are illustrated...
Dynamic systems described by differential equations with singularities of the type and their machine solving
Dynamic systems with the nonzero initial conditions excited by the Dirac function
Dynamical systems method for solving linear finite-rank operator equations
A version of the dynamical systems method (DSM) for solving ill-conditioned linear algebraic systems is studied. An a priori and an a posteriori stopping rules are justified. An iterative scheme is constructed for solving ill-conditioned linear algebraic systems.
Eigenvalue approximation
Eigenvalue approximations by mixed methods
Ein selektives Projektions-Iterationsverfahren und Anwendungen auf Verzweigungsprobleme.
Ein stabiles Schichtenverfahren für allgemeine lineare Evolutionsgleichungen.
Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben
Einige Sätze über das Verfahren der tangierenden Hyperbeln in Banach-Räumen
Einschließung inverser Elemente durch Fixpunktverfahren.
Éléments finis et l'estimation de l'erreur intérieur de la convergence
Enclosures and semi-analytic discretization of boundary value problems
Enlargement Procedure for Resolution of Singularities at Simple Singular Solutions of Nonlinear Equations.
Équation d’évolution sur , avec condition en plusieurs points
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...