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Documents authored by Luther, Wolfram

Document
DOI: 10.4230/DagRep.1.9.26
Uncertainty modeling and analysis with intervals: Foundations, tools, applications (Dagstuhl Seminar 11371)

Authors: Isaac E. Elishakoff, Vladik Kreinovich, Wolfram Luther, and Evgenija D. Popova

Published in: Dagstuhl Reports, Volume 1, Issue 9 (2012)

Abstract
This report documents the program and the results of Dagstuhl Seminar 11371 ``Uncertainty modeling and analysis with intervals -- Foundations, tools, applications'', taking place September 11-16, 2011. The major emphasis of the seminar lies on modeling and analyzing uncertainties and propagating them through application systems by using, for example, interval arithmetic.
Cite as

Isaac E. Elishakoff, Vladik Kreinovich, Wolfram Luther, and Evgenija D. Popova. Uncertainty modeling and analysis with intervals: Foundations, tools, applications (Dagstuhl Seminar 11371). In Dagstuhl Reports, Volume 1, Issue 9, pp. 26-57, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@Article{elishakoff_et_al:DagRep.1.9.26,
  author =	{Elishakoff, Isaac E. and Kreinovich, Vladik and Luther, Wolfram and Popova, Evgenija D.},
  title =	{{Uncertainty modeling and analysis with intervals: Foundations, tools, applications (Dagstuhl Seminar 11371)}},
  pages =	{26--57},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2011},
  volume =	{1},
  number =	{9},
  editor =	{Elishakoff, Isaac E. and Kreinovich, Vladik and Luther, Wolfram and Popova, Evgenija D.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.1.9.26},
  URN =		{urn:nbn:de:0030-drops-33181},
  doi =		{10.4230/DagRep.1.9.26},
  annote =	{Keywords: Uncertainty modeling, Interval arithmetic, Imprecise probabilities, Sensitivity analysis, mechatronics, bioinformatics and finance}
}
Document
DOI: 10.4230/DagSemProc.09471.4
Verification and Validation for Femur Prosthesis Surgery

Authors: Ekaterina Auer, Roger Cuypers, Eva Dyllong, Stefan Kiel, and Wolfram Luther

Published in: Dagstuhl Seminar Proceedings, Volume 9471, Computer-assisted proofs - tools, methods and applications (2010)

Abstract
In this paper, we describe how verified methods we are developing in the course of the project TellHim&S (Interval Based Methods For Adaptive Hierarchical Models In Modeling And Simulation Systems) can be applied in the context of the biomechanical project PROREOP (Development of a new prognosis system to optimize patient-specific pre- operative surgical planning for the human skeletal system). On the one hand, it includes the use of verified hierarchical structures for reliable geometric modeling, object decomposition, distance computation and path planning. On the other hand, we cover such tasks as verification and validation assessment and propagation of differently described uncertainties through system models in engineering or mechanics.
Cite as

Ekaterina Auer, Roger Cuypers, Eva Dyllong, Stefan Kiel, and Wolfram Luther. Verification and Validation for Femur Prosthesis Surgery. In Computer-assisted proofs - tools, methods and applications. Dagstuhl Seminar Proceedings, Volume 9471, pp. 1-22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{auer_et_al:DagSemProc.09471.4,
  author =	{Auer, Ekaterina and Cuypers, Roger and Dyllong, Eva and Kiel, Stefan and Luther, Wolfram},
  title =	{{Verification and Validation for Femur Prosthesis Surgery}},
  booktitle =	{Computer-assisted proofs - tools, methods and applications},
  pages =	{1--22},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{9471},
  editor =	{B. Malcolm Brown and Erich Kaltofen and Shin'ichi Oishi and Siegfried M. Rump},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09471.4},
  URN =		{urn:nbn:de:0030-drops-25133},
  doi =		{10.4230/DagSemProc.09471.4},
  annote =	{Keywords: Graphical interface construction, superquadrics, 3D modeling, biomedical engineering}
}
Document
DOI: 10.4230/DagSemProc.08021.1
08021 Abstracts Collection – Numerical Validation in Current Hardware Architectures

Authors: Wolfram Luther, Annie Cuyt, Walter Krämer, and Peter Markstein

Published in: Dagstuhl Seminar Proceedings, Volume 8021, Numerical Validation in Current Hardware Architectures (2008)

Abstract
From 06.01. to 11.01.2008, the Dagstuhl Seminar 08021 ``Numerical Validation in Current Hardware Architectures'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Wolfram Luther, Annie Cuyt, Walter Krämer, and Peter Markstein. 08021 Abstracts Collection – Numerical Validation in Current Hardware Architectures. In Numerical Validation in Current Hardware Architectures. Dagstuhl Seminar Proceedings, Volume 8021, pp. 1-31, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{luther_et_al:DagSemProc.08021.1,
  author =	{Luther, Wolfram and Cuyt, Annie and Kr\"{a}mer, Walter and Markstein, Peter},
  title =	{{08021 Abstracts Collection – Numerical Validation in Current Hardware Architectures}},
  booktitle =	{Numerical Validation in Current Hardware Architectures},
  pages =	{1--31},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8021},
  editor =	{Annie Cuyt and Walter Kr\"{a}mer and Wolfram Luther and Peter Markstein},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08021.1},
  URN =		{urn:nbn:de:0030-drops-14785},
  doi =		{10.4230/DagSemProc.08021.1},
  annote =	{Keywords: Computer arithmetic, arbitrary precision, floating-point arithmetic standardization, language support, reliable libraries,high-precision special functions, reliablealgorithms, reliable floating-point and interval computing on different platforms}
}
Document
DOI: 10.4230/DagSemProc.08021.2
08021 Summary – Numerical Validation in Current Hardware Architectures

Authors: Annie Cuyt, Walter Krämer, Wolfram Luther, and Peter Markstein

Published in: Dagstuhl Seminar Proceedings, Volume 8021, Numerical Validation in Current Hardware Architectures (2008)

Abstract
Numerical validation in current hardware architectures - From embedded system to high-end computational grids Topics List of participants Schedule List of talks
Cite as

Annie Cuyt, Walter Krämer, Wolfram Luther, and Peter Markstein. 08021 Summary – Numerical Validation in Current Hardware Architectures. In Numerical Validation in Current Hardware Architectures. Dagstuhl Seminar Proceedings, Volume 8021, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{cuyt_et_al:DagSemProc.08021.2,
  author =	{Cuyt, Annie and Kr\"{a}mer, Walter and Luther, Wolfram and Markstein, Peter},
  title =	{{08021 Summary – Numerical Validation in Current Hardware Architectures}},
  booktitle =	{Numerical Validation in Current Hardware Architectures},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8021},
  editor =	{Annie Cuyt and Walter Kr\"{a}mer and Wolfram Luther and Peter Markstein},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08021.2},
  URN =		{urn:nbn:de:0030-drops-14334},
  doi =		{10.4230/DagSemProc.08021.2},
  annote =	{Keywords: Computer arithmetic, arbitrary precision, floating-point arithmetic standardization, language support, reliable libraries, high-precision special functions, reliablealgorithms, reliable floating-point and interval computing on different platforms}
}
Document
DOI: 10.4230/DagSemProc.08021.15
Numerical Verification Assessment in Computational Biomechanics

Authors: Ekaterina Auer and Wolfram Luther

Published in: Dagstuhl Seminar Proceedings, Volume 8021, Numerical Validation in Current Hardware Architectures (2008)

Abstract
In this paper, we present several aspects of the recent project PROREOP, in which a new prognosis system is developed for optimizing patient-specific preoperative surgical planning for the human skeletal system. We address verification and validation assessment in PROREOP with special emphasis on numerical accuracy and performance. To assess numerical accuracy, we propose to employ graded instruments, including accuracy tests and error analysis. The use of such instruments is exemplified for the process of accurate femur reconstruction. Moreover, we show how to verify the simulation results and take into account measurement uncertainties for a part of this process using tools and techniques developed in the project TellHIM&S.
Cite as

Ekaterina Auer and Wolfram Luther. Numerical Verification Assessment in Computational Biomechanics. In Numerical Validation in Current Hardware Architectures. Dagstuhl Seminar Proceedings, Volume 8021, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{auer_et_al:DagSemProc.08021.15,
  author =	{Auer, Ekaterina and Luther, Wolfram},
  title =	{{Numerical Verification Assessment in Computational Biomechanics}},
  booktitle =	{Numerical Validation in Current Hardware Architectures},
  pages =	{1--15},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8021},
  editor =	{Annie Cuyt and Walter Kr\"{a}mer and Wolfram Luther and Peter Markstein},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08021.15},
  URN =		{urn:nbn:de:0030-drops-14374},
  doi =		{10.4230/DagSemProc.08021.15},
  annote =	{Keywords: Numerical verification assessment, validation, uncertainty, result verification}
}
Document
DOI: 10.4230/DagSemProc.06491.13
Rule-based search in historical text databases - Visualization techniques

Authors: Wolfram Luther

Published in: Dagstuhl Seminar Proceedings, Volume 6491, Digital Historical Corpora- Architecture, Annotation, and Retrieval (2007)

Abstract
The talk describes several techniques used to visualize among other aspects the productivity of rule sets in deriving non-standard spellings. The treemap or similar visualizations help find typical replacement sequences depending on the localization of the spellings and their epoch. The study conducted proves that treemaps ease the understanding of rule hierarchies, the detection of productive and non productive rules and the evaluation of a rule’s importance. They also provide better search performance. An interactive visualization over a map is showing isoglosses running between different regions of Germany and clusters text samples of different epochs and their writings. Furthermore, allograph variants are displayed using adequate data types.
Cite as

Wolfram Luther. Rule-based search in historical text databases - Visualization techniques. In Digital Historical Corpora- Architecture, Annotation, and Retrieval. Dagstuhl Seminar Proceedings, Volume 6491, pp. 1-3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{luther:DagSemProc.06491.13,
  author =	{Luther, Wolfram},
  title =	{{Rule-based search in historical text databases - Visualization techniques}},
  booktitle =	{Digital Historical Corpora- Architecture, Annotation, and Retrieval},
  pages =	{1--3},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{6491},
  editor =	{Lou Burnard and Milena Dobreva and Norbert Fuhr and Anke L\"{u}deling},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06491.13},
  URN =		{urn:nbn:de:0030-drops-10513},
  doi =		{10.4230/DagSemProc.06491.13},
  annote =	{Keywords: Non-standard spellings, visualization techniques, treemaps, rule base optimization}
}
Document
DOI: 10.4230/DagSemProc.06021.1
06021 Abstracts Collection – Reliable Implementation of Real Number Algorithms: Theory and Practice

Authors: Peter Hertling, Christoph M. Hoffmann, Wolfram Luther, and Nathalie Revol

Published in: Dagstuhl Seminar Proceedings, Volume 6021, Reliable Implementation of Real Number Algorithms: Theory and Practice (2006)

Abstract
From 08.01.06 to 13.01.06, the Dagstuhl Seminar 06021 ``Reliable Implementation of Real Number Algorithms: Theory and Practice'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Peter Hertling, Christoph M. Hoffmann, Wolfram Luther, and Nathalie Revol. 06021 Abstracts Collection – Reliable Implementation of Real Number Algorithms: Theory and Practice. In Reliable Implementation of Real Number Algorithms: Theory and Practice. Dagstuhl Seminar Proceedings, Volume 6021, pp. 1-18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{hertling_et_al:DagSemProc.06021.1,
  author =	{Hertling, Peter and Hoffmann, Christoph M. and Luther, Wolfram and Revol, Nathalie},
  title =	{{06021 Abstracts Collection – Reliable Implementation of Real Number Algorithms: Theory and Practice}},
  booktitle =	{Reliable Implementation of Real Number Algorithms: Theory and Practice},
  pages =	{1--18},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6021},
  editor =	{Peter Hertling and Christoph M. Hoffmann and Wolfram Luther and Nathalie Revol},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06021.1},
  URN =		{urn:nbn:de:0030-drops-7491},
  doi =		{10.4230/DagSemProc.06021.1},
  annote =	{Keywords: Real number algorithms, reliable implementation}
}
Document
DOI: 10.4230/DagSemProc.06021.2
06021 Summary – Reliable Implementation of Real Number Algorithms: Theory and Practice

Authors: Peter Hertling, Christoph M. Hoffmann, Wolfram Luther, and Nathalie Revol

Published in: Dagstuhl Seminar Proceedings, Volume 6021, Reliable Implementation of Real Number Algorithms: Theory and Practice (2006)

Abstract
The seminar brought together researchers from many different disciplines concerned with the reliable implementation of real number algorithms either from a theoretical or from a practical point of view. In this summary we describe the topics, the goals, and the contributions of the seminar.
Cite as

Peter Hertling, Christoph M. Hoffmann, Wolfram Luther, and Nathalie Revol. 06021 Summary – Reliable Implementation of Real Number Algorithms: Theory and Practice. In Reliable Implementation of Real Number Algorithms: Theory and Practice. Dagstuhl Seminar Proceedings, Volume 6021, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{hertling_et_al:DagSemProc.06021.2,
  author =	{Hertling, Peter and Hoffmann, Christoph M. and Luther, Wolfram and Revol, Nathalie},
  title =	{{06021 Summary – Reliable Implementation of Real Number Algorithms: Theory and Practice}},
  booktitle =	{Reliable Implementation of Real Number Algorithms: Theory and Practice},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6021},
  editor =	{Peter Hertling and Christoph M. Hoffmann and Wolfram Luther and Nathalie Revol},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06021.2},
  URN =		{urn:nbn:de:0030-drops-7117},
  doi =		{10.4230/DagSemProc.06021.2},
  annote =	{Keywords: Real number computability, real number algorithms, reliable computing, algorithms with result verification, interval arithmetic, geometric computing, robustness, solid modeling}
}
Document
DOI: 10.4230/DagSemProc.05391.5
Integration of reliable algorithms into modeling software

Authors: Wolfram Luther, Gerhard Haßlinger, Ekaterina Auer, Eva Dyllong, Daniela Traczinski, and Holger Traczinski

Published in: Dagstuhl Seminar Proceedings, Volume 5391, Algebraic and Numerical Algorithms and Computer-assisted Proofs (2006)

Abstract
In this note we discuss strategies that would enhance modern modeling and simulation software (MSS) with reliable routines using validated data types, controlled rounding, algorithmic differentiation and interval equation or initial value problem solver. Several target systems are highlighted. In stochastic traffic modeling, the computation of workload distributions plays a prominent role since they influence the quality of service parameters. INoWaTIV is a workload analysis tool that uses two different techniques: the polynomial factorization approach and the Wiener-Hopf factorization to determine the work-load distributions of GI/GI/1 and SMP/GI/1 service systems accurately. Two extensions of a multibody modeling and simulation software were developed to model kinematic and dynamic properties of multibody systems in a validated way. Furthermore, an interface was created that allows the computation of convex hulls and reliable lower bounds for the distances between subpav-ing-encoded objects constructed with SIVIA (Set Inverter Via Interval Analysis).
Cite as

Wolfram Luther, Gerhard Haßlinger, Ekaterina Auer, Eva Dyllong, Daniela Traczinski, and Holger Traczinski. Integration of reliable algorithms into modeling software. In Algebraic and Numerical Algorithms and Computer-assisted Proofs. Dagstuhl Seminar Proceedings, Volume 5391, pp. 1-17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{luther_et_al:DagSemProc.05391.5,
  author =	{Luther, Wolfram and Ha{\ss}linger, Gerhard and Auer, Ekaterina and Dyllong, Eva and Traczinski, Daniela and Traczinski, Holger},
  title =	{{Integration of reliable algorithms into modeling software}},
  booktitle =	{Algebraic and Numerical Algorithms and Computer-assisted Proofs},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5391},
  editor =	{Bruno Buchberger and Shin'ichi Oishi and Michael Plum and Sigfried M. Rump},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05391.5},
  URN =		{urn:nbn:de:0030-drops-4441},
  doi =		{10.4230/DagSemProc.05391.5},
  annote =	{Keywords: Reliable algorithms, stochastic traffic modeling, multibody modeling tools, geometric modeling}
}
Document
DOI: 10.4230/DagSemRep.363
Numerical Software with Result Verification (Dagstuhl Seminar 03041)

Authors: René Alt, Andreas Frommer, Ralph Baker Kearfott, and Wolfram Luther

Published in: Dagstuhl Seminar Reports. Dagstuhl Seminar Reports, Volume 1 (2021)

Abstract
Cite as

René Alt, Andreas Frommer, Ralph Baker Kearfott, and Wolfram Luther. Numerical Software with Result Verification (Dagstuhl Seminar 03041). Dagstuhl Seminar Report 363, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2003)

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@TechReport{alt_et_al:DagSemRep.363,
  author =	{Alt, Ren\'{e} and Frommer, Andreas and Kearfott, Ralph Baker and Luther, Wolfram},
  title =	{{Numerical Software with Result Verification (Dagstuhl Seminar 03041)}},
  pages =	{1--5},
  ISSN =	{1619-0203},
  year =	{2003},
  type = 	{Dagstuhl Seminar Report},
  number =	{363},
  institution =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemRep.363},
  URN =		{urn:nbn:de:0030-drops-152430},
  doi =		{10.4230/DagSemRep.363},
}
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