3,143 research outputs found
Zwischen Dichtung und Verschwörung. Spätromantische Wiederholung einer romantischen Ich-Figuration bei Roman Zmorski
No full textDer von German Ritz herausgegebene Sammelband "Geschichtsentwurf und literarisches Projekt" enthält acht grundlegende Studien zur polnischen Romantik. Sie konzentrieren sich zum einen auf das zentrale Doppelgespann Mickiewicz/Slowacki und die Zeit der 1830er und 40er Jahre, in der die polnische Romantik ihre wichtigsten Werke schreibt und sich auf die Spätromantik öffnet. Zum anderen suchen sie diesen spätromantischen Charakter literaturhistorisch zu erweitern und zu untermauern, indem sie mit Zmorski und Sztyrmer zwei Exponenten der sogenannten Heimatliteratur einbeziehen. Zmorski und Sztyrmer schreiben in den 1840er Jahren im konspirierenden Polen und später nach dem gescheiterten Aufstand in einem neuen, aber fremden Machtzentrum Polens, in Petersburg. Die Beiträge werden drei thematischen Blöcken Geschichtsentwürfe , Literarische Projekte und Spätromantische Positionen zugeordnet und erhalten abschließend eine kulturhistorische Rahmung. Anhand von Memoiren aus und zu der ersten Hälfte des 19. Jahrhunderts wird dort versucht das große literarische Projekt der Nationswerdung aus der authentischen Perspektive der privaten Erfahrung zu bestätigen, zu konkretisieren, aber auch auszudifferenzieren.
Ritz Publikation schließt sich eng an den 2007 in derselben Reihe unter dem Titel "Romantik und Geschichte: polnisches Paradigma, europäischer Kontext, deutsch-polnische Perspektive" erschienenen Sammelband an
On the Convergence of Ritz Values, Ritz Vectors, and Refined Ritz Vectors
No full textThis paper concerns the Rayleigh--Ritz method for computing an approximation to an eigenpair (; x) of a non-Hermitian matrix A. Given a subspace W that contains an approximation to x, this method returns an approximation (; ~ x) to (; x). We establish four convergence results that hold as the deviation ffl of x from W approaches zero. First, the Ritz value converges to . Second, if the residual A~x \Gamma ~x approaches zero, then the Ritz vector ~ x converges to x. Third, we give a condition on the eigenvalues of the Rayleigh quotient from which the Ritz pair is computed that insures convergence of the Ritz vector. Finally, we show that certain refined Ritz vectors, introduced by the first author, converge unconditionally. This report is available by anonymous ftp from thales.cs.umd.edu in the directory pub/reports or on the web at http://www.cs.umd.edu/ stewart/. y Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R. China, ([email protected]..
Romantische Ironie als Form des Ausbruchs aus dem neuen Modell der nationalen Literatur und als ihre Erweiterung
No full textOn the Convergence of Ritz Values, Ritz Vectors, and Refined Ritz Vectors\symbolmark
No full textThis paper concerns the Rayleigh--Ritz method for computing an
approximation to an eigenpair of a non-Hermitian matrix
. Given a subspace \clw that contains an approximation to ,
this method returns an approximation to . We establish four convergence results that hold as the deviation
of from \clw approaches zero. First, the Ritz value
converges to . Second, if the residual approaches zero, then the Ritz vector
converges to . Third, we give a condition on the eigenvalues of
the Rayleigh quotient from which the Ritz pair is computed that
insures convergence of the Ritz vector. Finally, we show that certain
unconditionally.
(Also cross-referenced as UMIACS-TR-99-08
Ritz Apartments P.1
No full textExterior of the Ritz Apartments, 435 East South Temple, Ralph A. Badger, June 15th, 1938. Bray Photography, #1236-G
The use of positive and negative penalty functions in solving constrained optimization problems and partial differential equations
No full textThe Rayleigh-Ritz Method together with the Penalty Function Method is used to investigate the use of different types of penalty parameters. The use of artificial springs as penalty parameters is a very well established procedure to model constraints in the Rayleigh-Ritz Method, the Finite Element Method and other numerical methods. Historically, large positive values were used to define the stiffness coefficient of artificial springs, until recent publications demonstrated that it is possible to use negative values to define the stiffness coefficients of the springs. Furthermore, recent publications show that constraints can be enforced using positive and negative mass or inertia in vibration problems and in a more generic sense using eigenpenalty parameters which are penalty parameters in the matrix associated with the eigenvalue. Before the commencement of this thesis, solutions using artificial inertia were published only for beams and simple spring-mass systems.
In this thesis the use of all possible types of penalty parameters are investigated in vibration problems of Euler-Bernoulli beams, thin plates and shallow shells and in elastic stability analysis of Euler-Bernoulli beams, including penalty parameters associated with the geometrical stiffness matrix. The study includes the use of penalty parameters for both enforcing support boundary conditions and continuity conditions along structural joints.
This investigation started with the selection of the set of admissible functions that would: (a) allow modelling of beams, plates and shells in completely free boundary conditions; (b) not present any limitation in the number of functions that can be used in the solution. This gives the possibility to converge to the constraint solution and to model any type of boundary conditions.
The procedure proposed in this work combines several advantages: accuracy of the results, relative fast convergence, simplicity of the set of admissible functions and flexibility to define boundary conditions. While there are other procedures that may give better accuracy for specific cases, the proposed method is more widely applicable.
The procedure used in this work also includes a way to check for round-off errors and ill-conditioning in the results; as well as a way to bracket the exact solution with upper and lower-bound results
Rayleigh-Ritz analysis for localized buckling of a strut on a softening foundation by Hermite functions
No full textThis paper proposes a Rayleigh–Ritz procedure for localized buckling of a strut on a non-linear elastic foundation. Firstly, the deflected shape of a strut is expanded into a series of Hermite orthogonal functions, which are proved energy-integrable in an infinite region. Secondly, the errors of the numerical integrations of Hermite functions on the infinite region are investigated and the suitable integral limit is proposed. Through the numerical investigation, it is demonstrated that the first thirty Hermite functions are usually enough to approximate the localized buckling pattern. The proposed method overcomes the disadvantages of the traditional methods, in which the trial functions in either Rayleigh–Ritz or Galerkin analysis are based on the perturbation analyses of the corresponding non-linear differential equation
Monitoring of Ritz modal generation
No full textA scheme is proposed to monitor the adequacy of a set of Ritz modes to represent a solution by comparing the quantity generated with certain properties involving the forcing function. In so doing an attempt was made to keep this algorithm lean and efficient, so that it will be economical to apply. Using this monitoring scheme during Ritz Mode generation will automatically ensure that the k Ritz modes theta k that are generated are adequate to represent both the spatial and temporal behavior of the structure when forced under the given transient condition defined by F(s,t)
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