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<export-example>
  <doc>
    <id>7294</id>
    <completedYear/>
    <publishedYear>2022</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>12, 19781</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2022-10-17</completedDate>
    <publishedDate>2022-10-17</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Model Based Exploration of Hypokalemia in Dairy Cows</title>
    <abstract language="eng">Hypokalemia, characterized by too low serum potassium levels, is a severe mineral disorder which can be life threatening. It is increasingly diagnosed in veterinarian healthcare and a topic of ongoing research. In this paper, we explore the different originating conditions of hypokalemia: reduced potassium intake, increased excretion, acid-base disturbances, or increased insulin, by using a dynamic mathematical model for potassium balance in non-lactating and lactating cows.&#13;
Simulations are compared with literature. The results give insights into the network dynamics and point to scenarios on which experimental effort should be focused. Application of mathematical models can assist in experimental planning as well as the reduction, refinement and replacement of animal experiments.</abstract>
    <parentTitle language="eng">Scientific Reports</parentTitle>
    <identifier type="doi">10.1038/s41598-022-22596-0</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="AcceptedDate">2022/10/17</enrichment>
    <author>Julia Plöntzke</author>
    <submitter>Rainald Ehrig</submitter>
    <author>Mascha Berg</author>
    <author>Rainald Ehrig</author>
    <author>Sabine Leonhard-Marek</author>
    <author>Kerstin-Elisabeth Müller</author>
    <author>Susanna Röblitz</author>
    <collection role="institutes" number="compsys">Computational Systems Biology</collection>
    <collection role="persons" number="ehrig">Ehrig, Rainald</collection>
    <collection role="persons" number="susanna.roeblitz">Röblitz, Susanna</collection>
    <collection role="projects" number="BovSys">BovSys</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7130</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>2019-01-09</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Impact of mixed precision and storage layout on additive Schwarz smoothers</title>
    <abstract language="eng">The growing discrepancy between CPU computing power and memory bandwidth drives more and more numerical algorithms into a bandwidth-&#13;
bound regime. One example is the overlapping Schwarz smoother, a highly effective building block for iterative multigrid solution of elliptic equations with higher order finite elements. Two options of reducing the required&#13;
memory bandwidth are sparsity exploiting storage layouts and representing matrix entries with reduced precision in floating point or fixed point&#13;
format. We investigate the impact of several options on storage demand and contraction rate, both analytically in the context of subspace correction methods and numerically at an example of solid mechanics. Both perspectives agree on the favourite scheme: fixed point representation of Cholesky factors in nested dissection storage.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-71305</identifier>
    <enrichment key="SourceTitle">accepted for Numerical Linear Algebra with Applications</enrichment>
    <author>Jakob Schneck</author>
    <submitter>Martin Weiser</submitter>
    <author>Martin Weiser</author>
    <author>Florian Wende</author>
    <series>
      <title>ZIB-Report</title>
      <number>18-62</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>higher order finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mixed precision</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>overlapping Schwarz smoother</value>
    </subject>
    <collection role="msc" number="65M55">Multigrid methods; domain decomposition</collection>
    <collection role="msc" number="65Y10">Algorithms for specific classes of architectures</collection>
    <collection role="msc" number="65Y20">Complexity and performance of numerical algorithms [See also 68Q25]</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="vas">Distributed Algorithms and Supercomputing</collection>
    <collection role="persons" number="weiser">Weiser, Martin</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
    <collection role="persons" number="schneck">Schneck, Jakob</collection>
    <collection role="projects" number="HighPerMeshes">HighPerMeshes</collection>
    <collection role="institutes" number="MfLMS">Mathematics for Life and Materials Science</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/7130/ZR-18-62.pdf</file>
  </doc>
  <doc>
    <id>7101</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>109678</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>419</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A Riesz-projection-based method for nonlinear eigenvalue problems</title>
    <parentTitle language="eng">J. Comput. Phys.</parentTitle>
    <identifier type="doi">10.1016/j.jcp.2020.109678</identifier>
    <identifier type="arxiv">1811.11624</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="AcceptedDate">2020-06-16</enrichment>
    <enrichment key="SourceTitle">J. Comput. Phys.</enrichment>
    <author>Felix Binkowski</author>
    <submitter>Sven Burger</submitter>
    <author>Lin Zschiedrich</author>
    <author>Sven Burger</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compnano">Computational Nano Optics</collection>
    <collection role="persons" number="burger">Burger, Sven</collection>
    <collection role="persons" number="zschiedrich">Zschiedrich, Lin Werner</collection>
    <collection role="persons" number="binkowski">Binkowski, Felix</collection>
    <collection role="projects" number="ECMath-OT9">ECMath-OT9</collection>
    <collection role="projects" number="CNO-SOLARMATH-1">CNO-SOLARMATH-1</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7145</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>65</pageFirst>
    <pageLast>88</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>27</volume>
    <type>incollection</type>
    <publisherName>De Gruyter</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimality criteria for probabilistic numerical methods</title>
    <abstract language="eng">It is well understood that Bayesian decision theory and average case analysis are essentially identical. However, if one is interested in performing uncertainty quantification for a numerical task, it can be argued that the decision-theoretic framework is neither appropriate nor sufficient. To this end, we consider an alternative optimality criterion from Bayesian experimental design and study its implied optimal information in the numerical context. This information is demonstrated to differ, in general, from the information that would be used in an average-case-optimal numerical method. The explicit connection to Bayesian experimental design suggests several distinct regimes in which optimal probabilistic numerical methods can be developed.</abstract>
    <parentTitle language="eng">Multivariate Algorithms and Information-Based Complexity</parentTitle>
    <identifier type="arxiv">1901.04326</identifier>
    <identifier type="doi">10.1515/9783110635461-005</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Chris Oates</author>
    <submitter>T. J. Sullivan</submitter>
    <editor>F. J. Hickernell</editor>
    <author>Jon Cockayne</author>
    <editor>P. Kritzer</editor>
    <author>Dennis Prangle</author>
    <author>T. J. Sullivan</author>
    <author>Mark Girolami</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="projects" number="no-project">no-project</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7146</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1791</pageFirst>
    <pageLast>1816</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>30</volume>
    <type>article</type>
    <publisherName>Springer</publisherName>
    <publisherPlace>Statistics and Computing</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Convergence rates of Gaussian ODE filters</title>
    <parentTitle language="eng">Statistics and Computing</parentTitle>
    <identifier type="arxiv">1807.09737</identifier>
    <identifier type="doi">10.1007/s11222-020-09972-4</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="SourceTitle">Statistics and Computing</enrichment>
    <author>Hans Kersting</author>
    <submitter>T. J. Sullivan</submitter>
    <author>T. J. Sullivan</author>
    <author>Philipp Hennig</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="projects" number="no-project">no-project</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7693</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>058002</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>124</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2020-02-04</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Collective directional locking of colloidal monolayers on a periodic substrate</title>
    <abstract language="eng">We investigate the directional locking effects that arise when a monolayer of paramagnetic colloidal particles is driven across a triangular lattice of magnetic bubbles. We use an external rotating magnetic field to generate a two-dimensional traveling wave ratchet forcing the transport of particles along a direction that intersects two crystallographic axes of the lattice. We find that, while single particles show no preferred direction, collective effects induce transversal current and directional locking at high density via a spontaneous symmetry breaking. The colloidal current may be polarized via an additional bias field that makes one transport direction energetically preferred.</abstract>
    <parentTitle language="eng">Phys. Rev. Lett.</parentTitle>
    <identifier type="doi">10.1103/PhysRevLett.124.058002</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="SourceTitle">Phys. Rev. Lett.</enrichment>
    <author>Ralph L. Stoop</author>
    <submitter>Arthur Straube</submitter>
    <author>Arthur Straube</author>
    <author>Tom H. Johansen</author>
    <author>Pietro Tierno</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="vas">Distributed Algorithms and Supercomputing</collection>
    <collection role="projects" number="no-project">no-project</collection>
    <collection role="persons" number="straube">Straube, Arthur</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7694</id>
    <completedYear>2020</completedYear>
    <publishedYear>2021</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>275</pageFirst>
    <pageLast>283</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Error bounds for some approximate posterior measures in Bayesian inference</title>
    <parentTitle language="eng">Numerical Mathematics and Advanced Applications ENUMATH 2019</parentTitle>
    <identifier type="arxiv">1911.05669</identifier>
    <identifier type="doi">10.1007/978-3-030-55874-1_26</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Han Cheng Lie</author>
    <submitter>T. J. Sullivan</submitter>
    <author>T. J. Sullivan</author>
    <author>Aretha Teckentrup</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="projects" number="no-project">no-project</collection>
    <collection role="persons" number="lie">Lie, Han</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7695</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>4193</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>142</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Hot electrons generated in chiral plasmonic nanocrystals as a mechanism for surface photochemistry and chiral growth</title>
    <parentTitle language="eng">J. Am. Chem. Soc.</parentTitle>
    <identifier type="doi">10.1021/jacs.9b11124</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Larousse Khosravi Khorashad</author>
    <submitter>Sven Burger</submitter>
    <author>Lucas V. Besteiro</author>
    <author>Miguel Correa-Duarte</author>
    <author>Sven Burger</author>
    <author>Zhiming M. Wang</author>
    <author>Alexander O. Govorov</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compnano">Computational Nano Optics</collection>
    <collection role="persons" number="burger">Burger, Sven</collection>
    <collection role="projects" number="CNO-SOLARMATH-1">CNO-SOLARMATH-1</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7698</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>6452</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>28</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">General design formalism for highly efficient flat optics for broadband applications</title>
    <parentTitle language="eng">Opt. Express</parentTitle>
    <identifier type="doi">10.1364/OE.386573</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Daniel Werdehausen</author>
    <submitter>Sven Burger</submitter>
    <author>Sven Burger</author>
    <author>Isabelle Staude</author>
    <author>Thomas Pertsch</author>
    <author>Manuel Decker</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compnano">Computational Nano Optics</collection>
    <collection role="persons" number="burger">Burger, Sven</collection>
    <collection role="projects" number="NOLOSS-1">NOLOSS-1</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>7685</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>014001</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>19</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Extracting dimensional parameters of gratings produced with self-aligned multiple patterning using grazing-incidence small-angle x-ray scattering</title>
    <parentTitle language="eng">J. Micro Nanolithogr. MEMS MOEMS</parentTitle>
    <identifier type="doi">10.1117/1.JMM.19.1.014001</identifier>
    <identifier type="arxiv">1910.08532</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Mika Pflüger</author>
    <submitter>Sven Burger</submitter>
    <author>R. Joseph Kline</author>
    <author>Analia Fernández Herrero</author>
    <author>Martin Hammerschmidt</author>
    <author>Victor Soltwisch</author>
    <author>Michael Krumrey</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compnano">Computational Nano Optics</collection>
    <collection role="persons" number="hammerschmidt">Hammerschmidt, Martin</collection>
    <collection role="projects" number="NOLOSS-1">NOLOSS-1</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
</export-example>
