Austrian Academy of Sciences

Elektronisches Publikationsportal der Österreichischen Akademie der Wissenschaften
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    Non-Toleration of Dual Citizenship in Austria. Sitzungsberichte der philosophisch-historischen Klasse|Dual Citizenship and Naturalisation|

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    This chapter addresses the puzzle of why Austria has resisted the global trend towards the toleration of dual citizenship, even though none of the common explanations for such resistance apply to the Austrian case. We start by examining the history of Austrian citizenship law and the international conventions that Austria has joined. We then present a detailed analysis of those provisions in Austrian law that are relevant for dual citizenship. We find that Austria has accepted dual citizenship in the case of acquisition by birth but still clings to a general prohibition of dual citizenship in both the naturalisation of immigrants and when Austrians voluntarily acquire another citizenship. We suggest that politicised hostility towards dual citizenship for one particular group of immigrants – those from Turkey – seems to have blocked debates about reform. The chapter ends with the sketching of pathways to policy change and a menu of legislative reforms building on principles – already recognised in Austrian citizenship legislation – that could lead to the toleration of dual citizenship

    Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials. ETNA - Electronic Transactions on Numerical Analysis

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    We introduce a new polynomial preconditioner for solving the discretized Helmholtz equation preconditioned with the complex shifted Laplace (CSL) operator. We exploit the localization of the spectrum of the CSL-preconditioned system to approximately enclose the eigenvalues by a non-convex ‘bratwurst’ set. On this set, we expand the function 1/z into a Faber series. Truncating the series gives a polynomial, which we apply to the Helmholtz matrix preconditioned by the shifted Laplacian to obtain a new preconditioner, the Faber preconditioner. We prove that the Faber preconditioner is nonsingular for degrees one and two of the truncated series. Our numerical experiments (for problems with constant and varying wavenumber) show that the Faber preconditioner reduces the number of GMRES iterations

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    Piber, Familie

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    Joseph (I): * 12.2.1821 Lengenfeld/NÖ, † 3.8.1899 Altenmarkt an der Triesting/NÖ. Lehrer und Kirchenmusiker

    Inhalt. Corpus Vasorum Antiquorum|Corpus Vasorum Antiquorum. Österreich. Beiheft 3.|

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    Elektronisches Publikationsportal der Österreichischen Akademie der Wissenschaften is based in Austria
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