Austrian Academy of Sciences

Elektronisches Publikationsportal der Österreichischen Akademie der Wissenschaften
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    Modelling which future? (ITA Dossier no 51en, Jannuary 2021)

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    -> Computer models support policy with important orientational knowledge in various areas. -> Computer models do not only create knowledge, but also (re-)produce social values and world views. They should therefore be widely discussed in science, policy, and by the public. -> Key challenges for computational modelling in policy advice are its increasing complexity, a lack of transparency, and ensuring the credibility and communication of models and their significanc

    Multigrid reduction in time with Richardson extrapolation. ETNA - Electronic Transactions on Numerical Analysis

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    The advent of exascale computing will leave many users with access to more computational resources than they can simultaneously use, e.g., billion-way parallelism. In particular, this is true for time-dependent simulations that limit parallelism to the spatial domain. One method to add parallelism in time to existing simulation codes and thus take advantage of ever larger compute resources is Multigrid Reduction in Time (MGRIT). The goal is to achieve a smaller time-to-solution through parallelism in time. In this paper, MGRIT is enhanced with Richardson extrapolation in a cost-efficient way to produce a parallel-in-time method with improved accuracy. Overall, this leads to a large improvement in the accuracy per computational cost of MGRIT

    Band 13 (Spanner – Stulli Gioachino)

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    Analysis of the CCFD method for MC-based image denoising problems. ETNA - Electronic Transactions on Numerical Analysis

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    Image denoising using mean curvature leads to the problem of solving a nonlinear fourth-order integro-differential equation. The nonlinear fourth-order term comes from the mean curvature regularization functional. In this paper, we treat this high-order nonlinearity by reducing the nonlinear fourth-order integro-differential equation to a system of first-order equations. Then a cell-centered finite difference scheme is applied to this system. With a lexicographical ordering of the unknowns, the discretization of the mean curvature functional leads to a block pentadiagonal matrix. Our contributions are fourfold: (i) we give a new method for treating the high-order nonlinearity term; (ii) we express the discretization of this term in terms of simple matrices; (iii) we give an analysis for this new method and establish that the error is of first order; and (iv) we verify this theoretical result by illustrating the convergence rates in numerical experiments

    Going beyond GDP with a parsimonious indicator: inequality-adjusted healthy lifetime income. Vienna Yearbook of Population Research|Vienna Yearbook of Population Research 2021|

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    Per capita GDP has limited use as a well-being indicator because it does notcapture many dimensions that imply a “good life”, such as health and equality ofopportunity. However, per capita GDP has the virtues of being easy to interpret andto calculate with manageable data requirements. Against this backdrop, there is aneed for a measure of well-being that preserves the advantages of per capita GDP,but also includes health and equality. We propose a new parsimonious indicatorto fill this gap, and calculate it for 149 countries. This new indicator could beparticularly useful in complementing standard well-being indicators during theCOVID-19 pandemic. This is because (i) COVID-19 predominantly affects olderadults beyond their prime working ages whose mortality and morbidity do notstrongly affect GDP, and (ii) COVID-19 is known to have large effects on inequalityin many countries

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    Elektronisches Publikationsportal der Österreichischen Akademie der Wissenschaften is based in Austria
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