<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>407</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1999-06-21</completedDate>
    <publishedDate>1999-06-21</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Power-User und Supercomputer</title>
    <abstract language="deu">Abstract-Sammlung zum gleichnamigen Workshop am ZIB vom 19.--20. Mai 1999</abstract>
    <identifier type="serial">SC-99-19</identifier>
    <identifier type="opus3-id">408</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-4070</identifier>
    <author>Peter Deuflhard</author>
    <author>Rupert Klein</author>
    <author>Alexander Reinefeld</author>
    <author>Hinnerk Stüben</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-99-19</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Benutzertreffen</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Höchstleistungsrechner Nord</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>HLRN</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="ccs" number="A.0">GENERAL</collection>
    <collection role="ccs" number="K.m">MISCELLANEOUS</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="reinefeld">Reinefeld, Alexander</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/407/SC-99-19.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/407/SC-99-19.pdf</file>
  </doc>
  <doc>
    <id>581</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2000-04-18</completedDate>
    <publishedDate>2000-04-18</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptive hierarchical cluster analysis by Self-Organizing Box Maps</title>
    <abstract language="eng">The present paper aims at an extension of {\sc Kohonen's} Self-Organizing Map (SOM) algorithm to be called Self-Organizing Box Map (SOBM) algorithm; it generates box codebooks in lieu of point codebooks. Box codebooks just like point codebooks indirectly define a Voronoi tessellation of the input space, so that each codebook vector represents a unique set of points. Each box codebook vector comprises a multi-dimensional interval that approximates the related partition of the Voronoi tessellation. Upon using the automated cluster identification method that has recently been developed by the authors, the codebook vectors can be grouped in such a way that each group represents a point cluster in the input space. Since the clustering usually depends on the size of the SOM, one cannot be sure, whether the clustering comes out to be optimal. Refinement of part of the identified clusters would often improve the results. This paper presents the concept of an adaptive multilevel cluster algorithm that performs such refinements automatically. Moreover the paper introduces a concept of essential dimensions and suggests a method for their identification based on our herein suggested box codebooks. Applications of the algorithm to molecular dynamics will be described in a forthcoming paper.</abstract>
    <identifier type="serial">00-13</identifier>
    <identifier type="opus3-id">582</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-5815</identifier>
    <author>Tobias Galliat</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>00-13</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Self-Organizing Maps</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>cluster analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Voronoi tessellation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>feature extraction</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>essential dimensions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>multilevel methods</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="62H30">Classification and discrimination; cluster analysis [See also 68T10]</collection>
    <collection role="msc" number="68T05">Learning and adaptive systems [See also 68Q32, 91E40]</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/581/ZR-00-13.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/581/ZR-00-13.pdf</file>
  </doc>
  <doc>
    <id>622</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2000-12-19</completedDate>
    <publishedDate>2000-12-19</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design</title>
    <abstract language="eng">This paper has been motivated by the need for a fast robust adaptive multigrid method to solve the vectorial Maxwell eigenvalue problem arising from the design of optical chips. Our nonlinear multigrid methods are based on a previous method for the scalar Helmholtz equation, which must be modified to cope with the null space of the Maxwell operator due to the divergence condition. We present two different approaches. First, we present a multigrid algorithm based on an edge element discretization of time-harmonic Maxwell's equations, including the divergence condition. Second, an explicit elimination of longitudinal magnetic components leads to a nodal discretization known to avoid discrete \emph{spurious modes} also and a vectorial eigenvalue problem, for which we present a multigrid solver. Numerical examples show that the edge element discretization clearly outperforms the nodal element approach.</abstract>
    <identifier type="serial">00-54</identifier>
    <identifier type="opus3-id">623</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6228</identifier>
    <enrichment key="SourceTitle">Appeared in: W. Jäger et al. (eds.) Mathematics - Key Technology for the Future : Joint Projects between Universities and Industry. Springer 2003. Pp. 279 -292</enrichment>
    <author>Frank Schmidt</author>
    <author>Tilmann Friese</author>
    <author>Lin Zschiedrich</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>00-54</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Maxwell's equations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>eigenvalue problem</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>edge elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>multigrid methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>waveguide</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optical chip design</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65N25">Eigenvalue problems</collection>
    <collection role="msc" number="65N30">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="msc" number="65N55">Multigrid methods; domain decomposition</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="zschiedrich">Zschiedrich, Lin Werner</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/622/ZR-00-54.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/622/ZR-00-54.pdf</file>
  </doc>
  <doc>
    <id>629</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-02-23</completedDate>
    <publishedDate>2001-02-23</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Hierarchical Uncoupling-Coupling of Metastable Conformations</title>
    <abstract language="eng">Uncoupling-coupling Monte Carlo (UCMC) combines uncoupling techniques for finite Markov chains with Markov chain Monte Carlo methodology. UCMC aims at avoiding the typical metastable or trapping behavior of Monte Carlo techniques. From the viewpoint of Monte Carlo, a slowly converging long-time Markov chain is replaced by a limited number of rapidly mixing short-time ones. Therefore, the state space of the chain has to be hierarchically decomposed into its metastable conformations. This is done by means of combining the technique of conformation analysis as recently introduced by the authors, and appropriate annealing strategies. We present a detailed examination of the uncoupling-coupling procedure which uncovers its theoretical background, and illustrates the hierarchical algorithmic approach. Furthermore, application of the UCMC algorithm to the $n$-pentane molecule allows us to discuss the effect of its crucial steps in a typical molecular scenario.</abstract>
    <identifier type="serial">01-03</identifier>
    <identifier type="opus3-id">630</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6296</identifier>
    <enrichment key="SourceTitle">Appeared in: Computational Methods for Macromolecules: Challenges and Applications. Proc. of the 3rd Int. Workshop on Methods for Macromolecular Modeling, New York, Oct. 12-14, 2000. T. Schlick, Gan, H. H. (eds.) Springer 2002. LNCSE 24, pp. 235-259</enrichment>
    <author>Alexander Fischer</author>
    <author>Christof Schütte</author>
    <author>Peter Deuflhard</author>
    <author>Frank Cordes</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-03</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>almost invariant sets</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>bridge sampling</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>metastability</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>hierarchical annealing</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>hybrid Monte Carlo</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>$n$-pentane molecule</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>ratio of normalizing co</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="60J22">Computational methods in Markov chains [See also 65C40]</collection>
    <collection role="msc" number="65C05">Monte Carlo methods</collection>
    <collection role="msc" number="65C40">Computational Markov chains</collection>
    <collection role="msc" number="82B80">Numerical methods (Monte Carlo, series resummation, etc.) [See also 65-XX, 81T80]</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/629/ZR-01-03.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/629/ZR-01-03.pdf</file>
  </doc>
  <doc>
    <id>641</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-07-04</completedDate>
    <publishedDate>2001-07-04</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Modelling and Simulation of Aerosol Formation by Heterogeneous Nucleation in Gas-Liquid Contact Devices</title>
    <abstract language="eng">This paper describes a new simulation tool for the prediction of aerosol formation and behavior in gas--liquid contact devices such as absorbers, scrubbers, quench coolers, and condensers as well as multistage gas cleaning processes, respectively. Aerosol formation can impact severely the separation efficiency of gas cleaning processes. Aerosol or fog formation can arise by spontaneous condensation or desublimation in supersaturated gas phases. The rigorous description of the mass and energy transfer between the gas phase, the liquid phase, and the growing aerosol droplets leads to a system of partial differential and algebraic equations. For the solution of these systems we have developed the plant simulation tool AerCoDe. This program bases upon the linearly--implicit Euler discretisation, which in combination with extrapolation permits an adaptive step size and order control. Typical simulation results of a multistage industrial flue gas scrubbing process are presented. It is shown, that experimental data can be confirmed if the number concentration of condensation nuclei as an input parameter is roughly known.</abstract>
    <identifier type="serial">01-15</identifier>
    <identifier type="opus3-id">642</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6416</identifier>
    <enrichment key="SourceTitle">Appeared in: Chem. Eng. Sci. 57 (2002) 1151-1163</enrichment>
    <author>Rainald Ehrig</author>
    <author>Oliver Ofenloch</author>
    <author>Karlheinz Schaber</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-15</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>aerosols</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>heterogeneous nucleation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>two-phase flow</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>balance equations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>extrapolation methods</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65L80">Methods for differential-algebraic equations</collection>
    <collection role="msc" number="65N40">Method of lines</collection>
    <collection role="msc" number="76T10">Liquid-gas two-phase flows, bubbly flows</collection>
    <collection role="msc" number="80A20">Heat and mass transfer, heat flow</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="ehrig">Ehrig, Rainald</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/641/ZR-01-15.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/641/ZR-01-15.pdf</file>
  </doc>
  <doc>
    <id>638</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-06-07</completedDate>
    <publishedDate>2001-06-07</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Central Path towards the Numerical Solution of Optimal Control Problems</title>
    <abstract language="eng">A new approach to the numerical solution of optimal control problems including control and state constraints is presented. Like hybrid methods, the approach aims at combining the advantages of direct and indirect methods. Unlike hybrid methods, however, our method is directly based on interior-point concepts in function space --- realized via an adaptive multilevel scheme applied to the complementarity formulation and numerical continuation along the central path. Existence of the central path and its continuation towards the solution point is analyzed in some theoretical detail. An adaptive stepsize control with respect to the duality gap parameter is worked out in the framework of affine invariant inexact Newton methods. Finally, the performance of a first version of our new type of algorithm is documented by the successful treatment of the well-known intricate windshear problem.</abstract>
    <identifier type="serial">01-12</identifier>
    <identifier type="opus3-id">639</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6380</identifier>
    <enrichment key="SourceTitle">Appeared under the title " Inexact Central Path Following Algorithms for Optimal Control Problems" in: SIAM J. Contr. Opt. 46 (3) (2007) 792-815</enrichment>
    <author>Martin Weiser</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-12</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>interior point methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>affine invariance</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="49M15">Newton-type methods</collection>
    <collection role="msc" number="65K10">Optimization and variational techniques [See also 49Mxx, 93B40]</collection>
    <collection role="msc" number="90C48">Programming in abstract spaces</collection>
    <collection role="msc" number="90C51">Interior-point methods</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="weiser">Weiser, Martin</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/638/ZR-01-12.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/638/ZR-01-12.pdf</file>
  </doc>
  <doc>
    <id>640</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-07-03</completedDate>
    <publishedDate>2001-07-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible</title>
    <abstract language="eng">By computed tomography data (CT), the individual geometry of the mandible is quite well reproduced, also the separation between cortical and trabecular bone. Using anatomical knowledge about the architecture and the functional potential of the masticatory muscles, realistic situations were approximated. The solution of the underlying partial differential equations describing linear elastic material behaviour is provided by an adaptive finite element method. Estimations of the discretization error, local grid refinement, and multilevel techniques guarantee the reliability and efficiency of the method.</abstract>
    <identifier type="serial">01-14</identifier>
    <identifier type="opus3-id">641</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6403</identifier>
    <enrichment key="SourceTitle">Appeared in: Proc. of 9th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, Ulm, Germany, 2002, CD-ROM</enrichment>
    <author>Bodo Erdmann</author>
    <author>Cornelia Kober</author>
    <author>Jens Lang</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-14</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mandible</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>sensitivity analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive grid refinement</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="74B10">Linear elasticity with initial stresses</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/640/ZR-01-14.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/640/ZR-01-14.pdf</file>
  </doc>
  <doc>
    <id>619</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2000-12-18</completedDate>
    <publishedDate>2000-12-18</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Automatic Identification of Metastable Conformations via Self-Organized Neural Networks</title>
    <abstract language="eng">As has been shown recently, the identification of metastable chemical conformations leads to a Perron cluster eigenvalue problem for a reversible Markov operator. Naive discretization of this operator would suffer from combinatorial explosion. As a first remedy, a pre-identification of essential degrees of freedom out of the set of torsion angles had been applied up to now. The present paper suggests a different approach based on neural networks: its idea is to discretize the Markov operator via self-organizing (box) maps. The thus obtained box discretization then serves as a prerequisite for the subsequent Perron cluster analysis. Moreover, this approach also permits exploitation of additional structure within embedded simulations. As it turns out, the new method is fully automatic and efficient also in the treatment of biomolecules. This is exemplified by numerical results.</abstract>
    <identifier type="serial">00-51</identifier>
    <identifier type="opus3-id">620</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6197</identifier>
    <enrichment key="SourceTitle">Appeared in: T. Schlick, H. H. Gan (eds.) Computational Methods for Macromolecules : Challenges and Applications. Proc. of the 3rd Int. Workshop on Methods for Macromolecular Modelling, New York 2000. Springer 2002. LNCSE 24, pp. 260-284</enrichment>
    <author>Tobias Galliat</author>
    <author>Peter Deuflhard</author>
    <author>Rainer Roitzsch</author>
    <author>Frank Cordes</author>
    <series>
      <title>ZIB-Report</title>
      <number>00-51</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>biochemical conformations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>cluster analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Molecular Dynamics</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Monte-Carlo methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>operator discretization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Perron cluster</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="60J20">Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) [See also 90B30, 91D10, 91D35, 91E40]</collection>
    <collection role="msc" number="62H30">Classification and discrimination; cluster analysis [See also 68T10]</collection>
    <collection role="msc" number="68T05">Learning and adaptive systems [See also 68Q32, 91E40]</collection>
    <collection role="msc" number="92-08">Computational methods</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/619/ZR-00-51.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/619/ZR-00-51.pdf</file>
  </doc>
  <doc>
    <id>657</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-10-21</completedDate>
    <publishedDate>2001-10-21</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Anisotrope Materialmodellierung für den menschlichen Unterkiefer</title>
    <abstract language="deu">Im Rahmen der biomechanischen Simulation knöcherner Organe ist die Frage nach einer befriedigenden Materialbeschreibung nach wie vor ungelöst. Computertomographische Datensätze liefern eine räumliche Verteilung der (Röntgen-)Dichte und ermöglichen damit eine gute Darstellung der individuellen Geometrie. Weiter können die verschiedenen Materialbestandteile des Knochens, Spongiosa und Kortikalis, voneinander getrennt werden. Aber die richtungsabängige Information der Materialanisotropie ist verloren. In dieser Arbeit wird ein Ansatz für eine anisotrope Materialbeschreibung vorgestellt, die es ermöglicht, den Einfluss der individuellen knöchernen Struktur auf das makroskopische Materialverhalten abzuschätzen.</abstract>
    <identifier type="serial">01-31</identifier>
    <identifier type="opus3-id">658</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6574</identifier>
    <enrichment key="SourceTitle">Erschienen in: Die Methode der Finiten Elemente in der Biomechanik, Biomedizin und angrenzenden Gebieten, Workshop '01, Univ. Ulm, 23./24.7.2001</enrichment>
    <author>Cornelia Kober</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <author>Steffen Prohaska</author>
    <author>Stefan Zachow</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-31</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>menschlicher Unterkiefer</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Simulation mit der Methode der finiten Elemente</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>innerer Aufbau des Knochens</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>anisotrope Elastizität</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="74B10">Linear elasticity with initial stresses</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="persons" number="zachow">Zachow, Stefan</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/657/ZR-01-31.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/657/ZR-01-31.pdf</file>
  </doc>
  <doc>
    <id>880</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2005-11-18</completedDate>
    <publishedDate>2005-11-18</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Die Vision einer individuellen quantitativen Medizin</title>
    <abstract language="deu">Die Autoren schreiben dieses Papier aus der eingeschränkten Sicht der Mathematik und der Informationstechnik. Um den speziellen Beitrag dieser Disziplinen überhaupt diskutieren zu können, sehen wir uns jedoch gezwungen, einen Rahmen abzustecken, den wir für das Jahr 2020 vorhersehen -- nach Wahrscheinlichkeit und aus unserem engeren fachlichen Blickwinkel. Vorab bitten wir schon einmal bei den medizinischen Fachleuten um Nachsicht, wenn wir uns in ihrem Revier allzu dillettantisch bewegen. Vielleicht fördert aber auch unser eingeschränkter Blickwinkel ansonsten unbedachte Aspekte zutage -- das hoffen wir zumindest.</abstract>
    <identifier type="serial">05-47</identifier>
    <identifier type="opus3-id">880</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-8805</identifier>
    <author>Peter Deuflhard</author>
    <author>Hans-Christian Hege</author>
    <series>
      <title>ZIB-Report</title>
      <number>05-47</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="ccs" number="J.3">LIFE AND MEDICAL SCIENCES</collection>
    <collection role="ccs" number="K.4.m">Miscellaneous</collection>
    <collection role="msc" number="92C50">Medical applications (general)</collection>
    <collection role="msc" number="92C99">None of the above, but in this section</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/880/ZR-05-47.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/880/ZR-05-47.ps</file>
  </doc>
  <doc>
    <id>952</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-05-14</completedDate>
    <publishedDate>2007-05-14</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Bessel'scher Irrgarten</title>
    <abstract language="deu">Dieser Artikel berichtet über eine erfolgreiche Schüleraktivität, die seit Jahren am Zuse-Institut Berlin (ZIB) bei Besuchen von Schülergruppen erprobt und verfeinert worden ist. Das hier zusammengestellte Material ist gedacht als Basis für eine Unterrichtseinheit in Leistungskursen Mathematik an Gymnasien. Inhaltlich wird von einem zwar für Schüler (wie auch Lehrer) neuen, aber leicht fasslichen Gegenstand ausgegangen: der Drei-Term-Rekursion für Besselfunktionen. Die Struktur wird erklärt und in ein kleines Programm umgesetzt. Dazu teilen sich die Schüler selbstorganisierend in Gruppen ein, die mit unterschiedlichen Taschenrechnern "um die Wette" rechnen. Die Schüler und Schülerinnen erfahren unmittelbar die katastrophale Wirkung von an sich kleinen'' Rundungsfehlern, sie landen -- ebenso wie der Supercomputer des ZIB -- im Bessel'schen Irrgarten''. Die auftretenden Phänomene werden mathematisch elementar erklärt, wobei lediglich auf das Konzept der linearen Unabhängigkeit zurückgegriffen wird. Das dabei gewonnene vertiefte Verständnis fließt ein in die Konstruktion eines klassischen Algorithmus sowie eines wesentlich verbesserten Horner-artigen Algorithmus.</abstract>
    <identifier type="serial">07-09</identifier>
    <identifier type="opus3-id">952</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-9525</identifier>
    <enrichment key="SourceTitle">Ersch. unter dem Titel "Bessel'scher Irrgarten - Rundungsfehler müssen nicht klein sein" in: DMV Jahresbericht, B.G. Teubner, Bd. 110, Heft 4, pp. 177-193, (2008)</enrichment>
    <author>Peter Deuflhard</author>
    <author>Ulrich Nowak</author>
    <author>Brigitte Lutz-Westphal</author>
    <series>
      <title>ZIB-Report</title>
      <number>07-09</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Rundungsfehler</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Drei-Term-Rekursionen</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Bessel-Rekursion</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/952/ZR-07-09.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/952/ZR-07-09.ps</file>
  </doc>
</export-example>
