---
_id: '52233'
abstract:
- lang: eng
  text: ELDIRK methods are defined to have an <jats:italic>Explicit Last</jats:italic>
    stage in the general Butcher array of <jats:italic>Diagonal Implicit Runge-Kutta</jats:italic>
    methods, with the consequence, that no additional system of equations must be
    solved, compared to the embedded RK method. Two general formulations for second-
    and third-order ELDIRK methods have been obtained recently in Mahnken [21] with
    specific schemes,  e.g. for the embedded implicit Euler method, the embedded trapezoidal-rule
    and the embedded Ellsiepen method. In the first part of this paper, we investigate
    some general stability characteristics of ELDIRK methods, and it will be shown
    that the above specific RK schemes are not A-stable. Therefore, in the second
    part, the above-mentioned general formulations are used for further stability
    investigations, with the aim to construct new second- and third-order ELDIRK methods
    which simultaneously are A-stable. Two numerical examples are concerned with the
    curing for a thermosetting material and phase-field RVE modeling for crystallinity
    and orientation. The numerical results confirm the theoretical results on convergence
    order and stability.
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Hendrik
  full_name: Westermann, Hendrik
  id: '60816'
  last_name: Westermann
  orcid: 0000-0002-5034-9708
citation:
  ama: Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal
    implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>. Published
    online 2024. doi:<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>
  apa: Mahnken, R., &#38; Westermann, H. (2024). Construction of A-stable explicit
    last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>.
    <a href="https://doi.org/10.1007/s00466-024-02442-y">https://doi.org/10.1007/s00466-024-02442-y</a>
  bibtex: '@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit
    last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }'
  chicago: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit
    Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>,
    2024. <a href="https://doi.org/10.1007/s00466-024-02442-y">https://doi.org/10.1007/s00466-024-02442-y</a>.
  ieee: 'R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage
    diagonal implicit Runge–Kutta (ELDIRK) methods,” <i>Computational Mechanics</i>,
    2024, doi: <a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>.'
  mla: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage
    Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>,
    Springer Science and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>.
  short: R. Mahnken, H. Westermann, Computational Mechanics (2024).
date_created: 2024-03-03T13:23:28Z
date_updated: 2024-03-19T12:14:07Z
department:
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-024-02442-y
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta
  (ELDIRK) methods
type: journal_article
user_id: '335'
year: '2024'
...
---
_id: '53229'
author:
- first_name: Francisco J.
  full_name: Santos-Arteaga, Francisco J.
  last_name: Santos-Arteaga
- first_name: Debora
  full_name: Di Caprio, Debora
  last_name: Di Caprio
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Emilio Cerda
  full_name: Tena, Emilio Cerda
  last_name: Tena
citation:
  ama: Santos-Arteaga FJ, Di Caprio D, Tavana M, Tena EC. A Credibility and Strategic
    Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application
    to Sustainable Transportation. <i>IEEE Transactions on Fuzzy Systems</i>. 2023;31(2):460-474.
    doi:<a href="https://doi.org/10.1109/tfuzz.2022.3188875">10.1109/tfuzz.2022.3188875</a>
  apa: Santos-Arteaga, F. J., Di Caprio, D., Tavana, M., &#38; Tena, E. C. (2023).
    A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making
    With Application to Sustainable Transportation. <i>IEEE Transactions on Fuzzy
    Systems</i>, <i>31</i>(2), 460–474. <a href="https://doi.org/10.1109/tfuzz.2022.3188875">https://doi.org/10.1109/tfuzz.2022.3188875</a>
  bibtex: '@article{Santos-Arteaga_Di Caprio_Tavana_Tena_2023, title={A Credibility
    and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making
    With Application to Sustainable Transportation}, volume={31}, DOI={<a href="https://doi.org/10.1109/tfuzz.2022.3188875">10.1109/tfuzz.2022.3188875</a>},
    number={2}, journal={IEEE Transactions on Fuzzy Systems}, publisher={Institute
    of Electrical and Electronics Engineers (IEEE)}, author={Santos-Arteaga, Francisco
    J. and Di Caprio, Debora and Tavana, Madjid and Tena, Emilio Cerda}, year={2023},
    pages={460–474} }'
  chicago: 'Santos-Arteaga, Francisco J., Debora Di Caprio, Madjid Tavana, and Emilio
    Cerda Tena. “A Credibility and Strategic Behavior Approach in Hesitant Multiple
    Criteria Decision-Making With Application to Sustainable Transportation.” <i>IEEE
    Transactions on Fuzzy Systems</i> 31, no. 2 (2023): 460–74. <a href="https://doi.org/10.1109/tfuzz.2022.3188875">https://doi.org/10.1109/tfuzz.2022.3188875</a>.'
  ieee: 'F. J. Santos-Arteaga, D. Di Caprio, M. Tavana, and E. C. Tena, “A Credibility
    and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making
    With Application to Sustainable Transportation,” <i>IEEE Transactions on Fuzzy
    Systems</i>, vol. 31, no. 2, pp. 460–474, 2023, doi: <a href="https://doi.org/10.1109/tfuzz.2022.3188875">10.1109/tfuzz.2022.3188875</a>.'
  mla: Santos-Arteaga, Francisco J., et al. “A Credibility and Strategic Behavior
    Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable
    Transportation.” <i>IEEE Transactions on Fuzzy Systems</i>, vol. 31, no. 2, Institute
    of Electrical and Electronics Engineers (IEEE), 2023, pp. 460–74, doi:<a href="https://doi.org/10.1109/tfuzz.2022.3188875">10.1109/tfuzz.2022.3188875</a>.
  short: F.J. Santos-Arteaga, D. Di Caprio, M. Tavana, E.C. Tena, IEEE Transactions
    on Fuzzy Systems 31 (2023) 460–474.
date_created: 2024-04-04T14:00:53Z
date_updated: 2024-04-15T13:15:07Z
department:
- _id: '277'
doi: 10.1109/tfuzz.2022.3188875
intvolume: '        31'
issue: '2'
keyword:
- Applied Mathematics
- Artificial Intelligence
- Computational Theory and Mathematics
- Control and Systems Engineering
language:
- iso: eng
page: 460-474
publication: IEEE Transactions on Fuzzy Systems
publication_identifier:
  issn:
  - 1063-6706
  - 1941-0034
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria
  Decision-Making With Application to Sustainable Transportation
type: journal_article
user_id: '51811'
volume: 31
year: '2023'
...
---
_id: '45757'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>Three prominent low order implicit
    time integration schemes are the first order implicit Euler-method, the second
    order trapezoidal rule and the second order Ellsiepen method. Its advantages are
    stability and comparatively low computational cost, however, they require the
    solution of a nonlinear system of equations. This paper presents a general approach
    for the construction of third order Runge–Kutta methods by embedding the above
    mentioned implicit schemes into the class of ELDIRK-methods. These will be defined
    to have an <jats:italic>Explicit Last</jats:italic> stage in the general Butcher
    array of <jats:italic>Diagonal Implicit Runge–Kutta</jats:italic> (DIRK) methods,
    with the consequence, that no additional system of equations must be solved. The
    main results—valid also for non-linear ordinary differential equations—are as
    follows: Two extra function calculations are required in order to embed the implicit
    Euler-method and one extra function calculation is required for the trapezoidal-rule
    and the Ellsiepen method, in order to obtain the third order properties, respectively.
    Two numerical examples are concerned with a parachute with viscous damping and
    a two-dimensional laser beam simulation. Here, we verify the higher order convergence
    behaviours of the proposed new ELDIRK-methods, and its successful performances
    for asymptotically exact global error estimation of so-called reversed embedded
    RK-method are shown.\r\n</jats:p>"
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
    of lower order implicit time integration schemes for local and global error estimation.
    <i>Computational Mechanics</i>. Published online 2023. doi:<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>
  apa: Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK)
    by embedding of lower order implicit time integration schemes for local and global
    error estimation. <i>Computational Mechanics</i>. <a href="https://doi.org/10.1007/s00466-023-02347-2">https://doi.org/10.1007/s00466-023-02347-2</a>
  bibtex: '@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods
    (ELDIRK) by embedding of lower order implicit time integration schemes for local
    and global error estimation}, DOI={<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Mahnken, Rolf}, year={2023} }'
  chicago: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK)
    by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global
    Error Estimation.” <i>Computational Mechanics</i>, 2023. <a href="https://doi.org/10.1007/s00466-023-02347-2">https://doi.org/10.1007/s00466-023-02347-2</a>.
  ieee: 'R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
    of lower order implicit time integration schemes for local and global error estimation,”
    <i>Computational Mechanics</i>, 2023, doi: <a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>.'
  mla: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding
    of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.”
    <i>Computational Mechanics</i>, Springer Science and Business Media LLC, 2023,
    doi:<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>.
  short: R. Mahnken, Computational Mechanics (2023).
date_created: 2023-06-23T06:47:36Z
date_updated: 2023-06-23T06:48:42Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-023-02347-2
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower
  order implicit time integration schemes for local and global error estimation
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '29843'
article_number: '104877'
author:
- first_name: Jannik
  full_name: Castenow, Jannik
  id: '38705'
  last_name: Castenow
- first_name: Peter
  full_name: Kling, Peter
  last_name: Kling
- first_name: Till
  full_name: Knollmann, Till
  id: '39241'
  last_name: Knollmann
  orcid: 0000-0003-2014-4696
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Castenow J, Kling P, Knollmann T, Meyer auf der Heide F. A Discrete and Continuous
    Study of the Max-Chain-Formation Problem. <i>Information and Computation</i>.
    Published online 2022. doi:<a href="https://doi.org/10.1016/j.ic.2022.104877">10.1016/j.ic.2022.104877</a>
  apa: Castenow, J., Kling, P., Knollmann, T., &#38; Meyer auf der Heide, F. (2022).
    A Discrete and Continuous Study of the Max-Chain-Formation Problem. <i>Information
    and Computation</i>, Article 104877. <a href="https://doi.org/10.1016/j.ic.2022.104877">https://doi.org/10.1016/j.ic.2022.104877</a>
  bibtex: '@article{Castenow_Kling_Knollmann_Meyer auf der Heide_2022, title={A Discrete
    and Continuous Study of the Max-Chain-Formation Problem}, DOI={<a href="https://doi.org/10.1016/j.ic.2022.104877">10.1016/j.ic.2022.104877</a>},
    number={104877}, journal={Information and Computation}, publisher={Elsevier BV},
    author={Castenow, Jannik and Kling, Peter and Knollmann, Till and Meyer auf der
    Heide, Friedhelm}, year={2022} }'
  chicago: Castenow, Jannik, Peter Kling, Till Knollmann, and Friedhelm Meyer auf
    der Heide. “A Discrete and Continuous Study of the Max-Chain-Formation Problem.”
    <i>Information and Computation</i>, 2022. <a href="https://doi.org/10.1016/j.ic.2022.104877">https://doi.org/10.1016/j.ic.2022.104877</a>.
  ieee: 'J. Castenow, P. Kling, T. Knollmann, and F. Meyer auf der Heide, “A Discrete
    and Continuous Study of the Max-Chain-Formation Problem,” <i>Information and Computation</i>,
    Art. no. 104877, 2022, doi: <a href="https://doi.org/10.1016/j.ic.2022.104877">10.1016/j.ic.2022.104877</a>.'
  mla: Castenow, Jannik, et al. “A Discrete and Continuous Study of the Max-Chain-Formation
    Problem.” <i>Information and Computation</i>, 104877, Elsevier BV, 2022, doi:<a
    href="https://doi.org/10.1016/j.ic.2022.104877">10.1016/j.ic.2022.104877</a>.
  short: J. Castenow, P. Kling, T. Knollmann, F. Meyer auf der Heide, Information
    and Computation (2022).
date_created: 2022-02-15T07:38:28Z
date_updated: 2022-02-15T07:41:00Z
department:
- _id: '63'
doi: 10.1016/j.ic.2022.104877
keyword:
- Computational Theory and Mathematics
- Computer Science Applications
- Information Systems
- Theoretical Computer Science
language:
- iso: eng
project:
- _id: '106'
  name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: Information and Computation
publication_identifier:
  issn:
  - 0890-5401
publication_status: published
publisher: Elsevier BV
status: public
title: A Discrete and Continuous Study of the Max-Chain-Formation Problem
type: journal_article
user_id: '38705'
year: '2022'
...
---
_id: '33332'
article_number: '2200049'
author:
- first_name: Frederik
  full_name: Bopp, Frederik
  last_name: Bopp
- first_name: Jonathan
  full_name: Rojas, Jonathan
  last_name: Rojas
- first_name: Natalia
  full_name: Revenga, Natalia
  last_name: Revenga
- first_name: Hubert
  full_name: Riedl, Hubert
  last_name: Riedl
- first_name: Friedrich
  full_name: Sbresny, Friedrich
  last_name: Sbresny
- first_name: Katarina
  full_name: Boos, Katarina
  last_name: Boos
- first_name: Tobias
  full_name: Simmet, Tobias
  last_name: Simmet
- first_name: Arash
  full_name: Ahmadi, Arash
  last_name: Ahmadi
- first_name: David
  full_name: Gershoni, David
  last_name: Gershoni
- first_name: Jacek
  full_name: Kasprzak, Jacek
  last_name: Kasprzak
- first_name: Arne
  full_name: Ludwig, Arne
  last_name: Ludwig
- first_name: Stephan
  full_name: Reitzenstein, Stephan
  last_name: Reitzenstein
- first_name: Andreas
  full_name: Wieck, Andreas
  last_name: Wieck
- first_name: Dirk
  full_name: Reuter, Dirk
  id: '37763'
  last_name: Reuter
- first_name: Kai
  full_name: Müller, Kai
  last_name: Müller
- first_name: Jonathan J.
  full_name: Finley, Jonathan J.
  last_name: Finley
citation:
  ama: Bopp F, Rojas J, Revenga N, et al. Quantum Dot Molecule Devices with Optical
    Control of Charge Status and Electronic Control of Coupling. <i>Advanced Quantum
    Technologies</i>. Published online 2022. doi:<a href="https://doi.org/10.1002/qute.202200049">10.1002/qute.202200049</a>
  apa: Bopp, F., Rojas, J., Revenga, N., Riedl, H., Sbresny, F., Boos, K., Simmet,
    T., Ahmadi, A., Gershoni, D., Kasprzak, J., Ludwig, A., Reitzenstein, S., Wieck,
    A., Reuter, D., Müller, K., &#38; Finley, J. J. (2022). Quantum Dot Molecule Devices
    with Optical Control of Charge Status and Electronic Control of Coupling. <i>Advanced
    Quantum Technologies</i>, Article 2200049. <a href="https://doi.org/10.1002/qute.202200049">https://doi.org/10.1002/qute.202200049</a>
  bibtex: '@article{Bopp_Rojas_Revenga_Riedl_Sbresny_Boos_Simmet_Ahmadi_Gershoni_Kasprzak_et
    al._2022, title={Quantum Dot Molecule Devices with Optical Control of Charge Status
    and Electronic Control of Coupling}, DOI={<a href="https://doi.org/10.1002/qute.202200049">10.1002/qute.202200049</a>},
    number={2200049}, journal={Advanced Quantum Technologies}, publisher={Wiley},
    author={Bopp, Frederik and Rojas, Jonathan and Revenga, Natalia and Riedl, Hubert
    and Sbresny, Friedrich and Boos, Katarina and Simmet, Tobias and Ahmadi, Arash
    and Gershoni, David and Kasprzak, Jacek and et al.}, year={2022} }'
  chicago: Bopp, Frederik, Jonathan Rojas, Natalia Revenga, Hubert Riedl, Friedrich
    Sbresny, Katarina Boos, Tobias Simmet, et al. “Quantum Dot Molecule Devices with
    Optical Control of Charge Status and Electronic Control of Coupling.” <i>Advanced
    Quantum Technologies</i>, 2022. <a href="https://doi.org/10.1002/qute.202200049">https://doi.org/10.1002/qute.202200049</a>.
  ieee: 'F. Bopp <i>et al.</i>, “Quantum Dot Molecule Devices with Optical Control
    of Charge Status and Electronic Control of Coupling,” <i>Advanced Quantum Technologies</i>,
    Art. no. 2200049, 2022, doi: <a href="https://doi.org/10.1002/qute.202200049">10.1002/qute.202200049</a>.'
  mla: Bopp, Frederik, et al. “Quantum Dot Molecule Devices with Optical Control of
    Charge Status and Electronic Control of Coupling.” <i>Advanced Quantum Technologies</i>,
    2200049, Wiley, 2022, doi:<a href="https://doi.org/10.1002/qute.202200049">10.1002/qute.202200049</a>.
  short: F. Bopp, J. Rojas, N. Revenga, H. Riedl, F. Sbresny, K. Boos, T. Simmet,
    A. Ahmadi, D. Gershoni, J. Kasprzak, A. Ludwig, S. Reitzenstein, A. Wieck, D.
    Reuter, K. Müller, J.J. Finley, Advanced Quantum Technologies (2022).
date_created: 2022-09-12T07:17:26Z
date_updated: 2022-09-12T07:18:06Z
department:
- _id: '15'
- _id: '230'
doi: 10.1002/qute.202200049
keyword:
- Electrical and Electronic Engineering
- Computational Theory and Mathematics
- Condensed Matter Physics
- Mathematical Physics
- Nuclear and High Energy Physics
- Electronic
- Optical and Magnetic Materials
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Advanced Quantum Technologies
publication_identifier:
  issn:
  - 2511-9044
  - 2511-9044
publication_status: published
publisher: Wiley
status: public
title: Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic
  Control of Coupling
type: journal_article
user_id: '42514'
year: '2022'
...
---
_id: '30655'
author:
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Yangjian
  full_name: Xu, Yangjian
  last_name: Xu
- first_name: Lihua
  full_name: Liang, Lihua
  last_name: Liang
citation:
  ama: Ju X, Mahnken R, Xu Y, Liang L. Goal-oriented error estimation and h-adaptive
    finite elements for hyperelastic micromorphic continua. <i>Computational Mechanics</i>.
    2022;69(3):847-863. doi:<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>
  apa: Ju, X., Mahnken, R., Xu, Y., &#38; Liang, L. (2022). Goal-oriented error estimation
    and h-adaptive finite elements for hyperelastic micromorphic continua. <i>Computational
    Mechanics</i>, <i>69</i>(3), 847–863. <a href="https://doi.org/10.1007/s00466-021-02117-y">https://doi.org/10.1007/s00466-021-02117-y</a>
  bibtex: '@article{Ju_Mahnken_Xu_Liang_2022, title={Goal-oriented error estimation
    and h-adaptive finite elements for hyperelastic micromorphic continua}, volume={69},
    DOI={<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>},
    number={3}, journal={Computational Mechanics}, publisher={Springer Science and
    Business Media LLC}, author={Ju, Xiaozhe and Mahnken, Rolf and Xu, Yangjian and
    Liang, Lihua}, year={2022}, pages={847–863} }'
  chicago: 'Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, and Lihua Liang. “Goal-Oriented
    Error Estimation and h-Adaptive Finite Elements for Hyperelastic Micromorphic
    Continua.” <i>Computational Mechanics</i> 69, no. 3 (2022): 847–63. <a href="https://doi.org/10.1007/s00466-021-02117-y">https://doi.org/10.1007/s00466-021-02117-y</a>.'
  ieee: 'X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and
    h-adaptive finite elements for hyperelastic micromorphic continua,” <i>Computational
    Mechanics</i>, vol. 69, no. 3, pp. 847–863, 2022, doi: <a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>.'
  mla: Ju, Xiaozhe, et al. “Goal-Oriented Error Estimation and h-Adaptive Finite Elements
    for Hyperelastic Micromorphic Continua.” <i>Computational Mechanics</i>, vol.
    69, no. 3, Springer Science and Business Media LLC, 2022, pp. 847–63, doi:<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>.
  short: X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.
date_created: 2022-03-28T13:23:17Z
date_updated: 2023-01-24T13:10:56Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-021-02117-y
intvolume: '        69'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 847-863
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Goal-oriented error estimation and h-adaptive finite elements for hyperelastic
  micromorphic continua
type: journal_article
user_id: '335'
volume: 69
year: '2022'
...
---
_id: '34700'
article_number: '13'
author:
- first_name: Sevag
  full_name: Gharibian, Sevag
  id: '71541'
  last_name: Gharibian
  orcid: 0000-0002-9992-3379
- first_name: Miklos
  full_name: Santha, Miklos
  last_name: Santha
- first_name: Jamie
  full_name: Sikora, Jamie
  last_name: Sikora
- first_name: Aarthi
  full_name: Sundaram, Aarthi
  last_name: Sundaram
- first_name: Justin
  full_name: Yirka, Justin
  last_name: Yirka
citation:
  ama: Gharibian S, Santha M, Sikora J, Sundaram A, Yirka J. Quantum generalizations
    of the polynomial hierarchy with applications to QMA(2). <i>Computational Complexity</i>.
    2022;31(2). doi:<a href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>
  apa: Gharibian, S., Santha, M., Sikora, J., Sundaram, A., &#38; Yirka, J. (2022).
    Quantum generalizations of the polynomial hierarchy with applications to QMA(2).
    <i>Computational Complexity</i>, <i>31</i>(2), Article 13. <a href="https://doi.org/10.1007/s00037-022-00231-8">https://doi.org/10.1007/s00037-022-00231-8</a>
  bibtex: '@article{Gharibian_Santha_Sikora_Sundaram_Yirka_2022, title={Quantum generalizations
    of the polynomial hierarchy with applications to QMA(2)}, volume={31}, DOI={<a
    href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>},
    number={213}, journal={Computational Complexity}, publisher={Springer Science
    and Business Media LLC}, author={Gharibian, Sevag and Santha, Miklos and Sikora,
    Jamie and Sundaram, Aarthi and Yirka, Justin}, year={2022} }'
  chicago: Gharibian, Sevag, Miklos Santha, Jamie Sikora, Aarthi Sundaram, and Justin
    Yirka. “Quantum Generalizations of the Polynomial Hierarchy with Applications
    to QMA(2).” <i>Computational Complexity</i> 31, no. 2 (2022). <a href="https://doi.org/10.1007/s00037-022-00231-8">https://doi.org/10.1007/s00037-022-00231-8</a>.
  ieee: 'S. Gharibian, M. Santha, J. Sikora, A. Sundaram, and J. Yirka, “Quantum generalizations
    of the polynomial hierarchy with applications to QMA(2),” <i>Computational Complexity</i>,
    vol. 31, no. 2, Art. no. 13, 2022, doi: <a href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>.'
  mla: Gharibian, Sevag, et al. “Quantum Generalizations of the Polynomial Hierarchy
    with Applications to QMA(2).” <i>Computational Complexity</i>, vol. 31, no. 2,
    13, Springer Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>.
  short: S. Gharibian, M. Santha, J. Sikora, A. Sundaram, J. Yirka, Computational
    Complexity 31 (2022).
date_created: 2022-12-21T10:53:52Z
date_updated: 2023-02-28T11:07:02Z
department:
- _id: '623'
- _id: '7'
doi: 10.1007/s00037-022-00231-8
intvolume: '        31'
issue: '2'
keyword:
- Computational Mathematics
- Computational Theory and Mathematics
- General Mathematics
- Theoretical Computer Science
language:
- iso: eng
publication: Computational Complexity
publication_identifier:
  issn:
  - 1016-3328
  - 1420-8954
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Quantum generalizations of the polynomial hierarchy with applications to QMA(2)
type: journal_article
user_id: '71541'
volume: 31
year: '2022'
...
---
_id: '30907'
author:
- first_name: Alfonso
  full_name: Rodriguez, Alfonso
  last_name: Rodriguez
- first_name: Andres
  full_name: Otero, Andres
  last_name: Otero
- first_name: Marco
  full_name: Platzner, Marco
  id: '398'
  last_name: Platzner
- first_name: Eduardo
  full_name: De la Torre, Eduardo
  last_name: De la Torre
citation:
  ama: Rodriguez A, Otero A, Platzner M, De la Torre E. Exploiting Hardware-Based
    Data-Parallel and Multithreading Models for Smart Edge Computing in Reconfigurable
    FPGAs. <i>IEEE Transactions on Computers</i>. Published online 2021:1-1. doi:<a
    href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>
  apa: Rodriguez, A., Otero, A., Platzner, M., &#38; De la Torre, E. (2021). Exploiting
    Hardware-Based Data-Parallel and Multithreading Models for Smart Edge Computing
    in Reconfigurable FPGAs. <i>IEEE Transactions on Computers</i>, 1–1. <a href="https://doi.org/10.1109/tc.2021.3107196">https://doi.org/10.1109/tc.2021.3107196</a>
  bibtex: '@article{Rodriguez_Otero_Platzner_De la Torre_2021, title={Exploiting Hardware-Based
    Data-Parallel and Multithreading Models for Smart Edge Computing in Reconfigurable
    FPGAs}, DOI={<a href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>},
    journal={IEEE Transactions on Computers}, publisher={Institute of Electrical and
    Electronics Engineers (IEEE)}, author={Rodriguez, Alfonso and Otero, Andres and
    Platzner, Marco and De la Torre, Eduardo}, year={2021}, pages={1–1} }'
  chicago: Rodriguez, Alfonso, Andres Otero, Marco Platzner, and Eduardo De la Torre.
    “Exploiting Hardware-Based Data-Parallel and Multithreading Models for Smart Edge
    Computing in Reconfigurable FPGAs.” <i>IEEE Transactions on Computers</i>, 2021,
    1–1. <a href="https://doi.org/10.1109/tc.2021.3107196">https://doi.org/10.1109/tc.2021.3107196</a>.
  ieee: 'A. Rodriguez, A. Otero, M. Platzner, and E. De la Torre, “Exploiting Hardware-Based
    Data-Parallel and Multithreading Models for Smart Edge Computing in Reconfigurable
    FPGAs,” <i>IEEE Transactions on Computers</i>, pp. 1–1, 2021, doi: <a href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>.'
  mla: Rodriguez, Alfonso, et al. “Exploiting Hardware-Based Data-Parallel and Multithreading
    Models for Smart Edge Computing in Reconfigurable FPGAs.” <i>IEEE Transactions
    on Computers</i>, Institute of Electrical and Electronics Engineers (IEEE), 2021,
    pp. 1–1, doi:<a href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>.
  short: A. Rodriguez, A. Otero, M. Platzner, E. De la Torre, IEEE Transactions on
    Computers (2021) 1–1.
date_created: 2022-04-18T10:03:16Z
date_updated: 2022-04-18T10:04:21Z
department:
- _id: '78'
doi: 10.1109/tc.2021.3107196
keyword:
- Computational Theory and Mathematics
- Hardware and Architecture
- Theoretical Computer Science
- Software
language:
- iso: eng
page: 1-1
publication: IEEE Transactions on Computers
publication_identifier:
  issn:
  - 0018-9340
  - 1557-9956
  - 2326-3814
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Exploiting Hardware-Based Data-Parallel and Multithreading Models for Smart
  Edge Computing in Reconfigurable FPGAs
type: journal_article
user_id: '398'
year: '2021'
...
---
_id: '34042'
author:
- first_name: Jiaao
  full_name: Li, Jiaao
  last_name: Li
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Zhengke
  full_name: Miao, Zhengke
  last_name: Miao
- first_name: Yongtang
  full_name: Shi, Yongtang
  last_name: Shi
- first_name: Weifan
  full_name: Wang, Weifan
  last_name: Wang
- first_name: Cun-Quan
  full_name: Zhang, Cun-Quan
  last_name: Zhang
citation:
  ama: Li J, Ma Y, Miao Z, Shi Y, Wang W, Zhang C-Q. Nowhere-zero 3-flows in toroidal
    graphs. <i>Journal of Combinatorial Theory, Series B</i>. 2021;153:61-80. doi:<a
    href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>
  apa: Li, J., Ma, Y., Miao, Z., Shi, Y., Wang, W., &#38; Zhang, C.-Q. (2021). Nowhere-zero
    3-flows in toroidal graphs. <i>Journal of Combinatorial Theory, Series B</i>,
    <i>153</i>, 61–80. <a href="https://doi.org/10.1016/j.jctb.2021.11.001">https://doi.org/10.1016/j.jctb.2021.11.001</a>
  bibtex: '@article{Li_Ma_Miao_Shi_Wang_Zhang_2021, title={Nowhere-zero 3-flows in
    toroidal graphs}, volume={153}, DOI={<a href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>},
    journal={Journal of Combinatorial Theory, Series B}, publisher={Elsevier BV},
    author={Li, Jiaao and Ma, Yulai and Miao, Zhengke and Shi, Yongtang and Wang,
    Weifan and Zhang, Cun-Quan}, year={2021}, pages={61–80} }'
  chicago: 'Li, Jiaao, Yulai Ma, Zhengke Miao, Yongtang Shi, Weifan Wang, and Cun-Quan
    Zhang. “Nowhere-Zero 3-Flows in Toroidal Graphs.” <i>Journal of Combinatorial
    Theory, Series B</i> 153 (2021): 61–80. <a href="https://doi.org/10.1016/j.jctb.2021.11.001">https://doi.org/10.1016/j.jctb.2021.11.001</a>.'
  ieee: 'J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, and C.-Q. Zhang, “Nowhere-zero 3-flows
    in toroidal graphs,” <i>Journal of Combinatorial Theory, Series B</i>, vol. 153,
    pp. 61–80, 2021, doi: <a href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>.'
  mla: Li, Jiaao, et al. “Nowhere-Zero 3-Flows in Toroidal Graphs.” <i>Journal of
    Combinatorial Theory, Series B</i>, vol. 153, Elsevier BV, 2021, pp. 61–80, doi:<a
    href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>.
  short: J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, C.-Q. Zhang, Journal of Combinatorial
    Theory, Series B 153 (2021) 61–80.
date_created: 2022-11-09T08:43:55Z
date_updated: 2022-11-09T08:44:37Z
department:
- _id: '542'
doi: 10.1016/j.jctb.2021.11.001
intvolume: '       153'
keyword:
- Computational Theory and Mathematics
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science
language:
- iso: eng
page: 61-80
publication: Journal of Combinatorial Theory, Series B
publication_identifier:
  issn:
  - 0095-8956
publication_status: published
publisher: Elsevier BV
status: public
title: Nowhere-zero 3-flows in toroidal graphs
type: journal_article
user_id: '15540'
volume: 153
year: '2021'
...
---
_id: '46135'
article_number: '2100002'
author:
- first_name: Johannes
  full_name: Schall, Johannes
  last_name: Schall
- first_name: Marielle
  full_name: Deconinck, Marielle
  last_name: Deconinck
- first_name: Nikolai
  full_name: Bart, Nikolai
  last_name: Bart
- first_name: Matthias
  full_name: Florian, Matthias
  last_name: Florian
- first_name: Martin
  full_name: Helversen, Martin
  last_name: Helversen
- first_name: Christian
  full_name: Dangel, Christian
  last_name: Dangel
- first_name: Ronny
  full_name: Schmidt, Ronny
  last_name: Schmidt
- first_name: Lucas
  full_name: Bremer, Lucas
  last_name: Bremer
- first_name: Frederik
  full_name: Bopp, Frederik
  last_name: Bopp
- first_name: Isabell
  full_name: Hüllen, Isabell
  last_name: Hüllen
- first_name: Christopher
  full_name: Gies, Christopher
  last_name: Gies
- first_name: Dirk
  full_name: Reuter, Dirk
  id: '37763'
  last_name: Reuter
- first_name: Andreas D.
  full_name: Wieck, Andreas D.
  last_name: Wieck
- first_name: Sven
  full_name: Rodt, Sven
  last_name: Rodt
- first_name: Jonathan J.
  full_name: Finley, Jonathan J.
  last_name: Finley
- first_name: Frank
  full_name: Jahnke, Frank
  last_name: Jahnke
- first_name: Arne
  full_name: Ludwig, Arne
  last_name: Ludwig
- first_name: Stephan
  full_name: Reitzenstein, Stephan
  last_name: Reitzenstein
citation:
  ama: Schall J, Deconinck M, Bart N, et al. Bright Electrically Controllable Quantum‐Dot‐Molecule
    Devices Fabricated by In Situ Electron‐Beam Lithography. <i>Advanced Quantum Technologies</i>.
    2021;4(6). doi:<a href="https://doi.org/10.1002/qute.202100002">10.1002/qute.202100002</a>
  apa: Schall, J., Deconinck, M., Bart, N., Florian, M., Helversen, M., Dangel, C.,
    Schmidt, R., Bremer, L., Bopp, F., Hüllen, I., Gies, C., Reuter, D., Wieck, A.
    D., Rodt, S., Finley, J. J., Jahnke, F., Ludwig, A., &#38; Reitzenstein, S. (2021).
    Bright Electrically Controllable Quantum‐Dot‐Molecule Devices Fabricated by In
    Situ Electron‐Beam Lithography. <i>Advanced Quantum Technologies</i>, <i>4</i>(6),
    Article 2100002. <a href="https://doi.org/10.1002/qute.202100002">https://doi.org/10.1002/qute.202100002</a>
  bibtex: '@article{Schall_Deconinck_Bart_Florian_Helversen_Dangel_Schmidt_Bremer_Bopp_Hüllen_et
    al._2021, title={Bright Electrically Controllable Quantum‐Dot‐Molecule Devices
    Fabricated by In Situ Electron‐Beam Lithography}, volume={4}, DOI={<a href="https://doi.org/10.1002/qute.202100002">10.1002/qute.202100002</a>},
    number={62100002}, journal={Advanced Quantum Technologies}, publisher={Wiley},
    author={Schall, Johannes and Deconinck, Marielle and Bart, Nikolai and Florian,
    Matthias and Helversen, Martin and Dangel, Christian and Schmidt, Ronny and Bremer,
    Lucas and Bopp, Frederik and Hüllen, Isabell and et al.}, year={2021} }'
  chicago: Schall, Johannes, Marielle Deconinck, Nikolai Bart, Matthias Florian, Martin
    Helversen, Christian Dangel, Ronny Schmidt, et al. “Bright Electrically Controllable
    Quantum‐Dot‐Molecule Devices Fabricated by In Situ Electron‐Beam Lithography.”
    <i>Advanced Quantum Technologies</i> 4, no. 6 (2021). <a href="https://doi.org/10.1002/qute.202100002">https://doi.org/10.1002/qute.202100002</a>.
  ieee: 'J. Schall <i>et al.</i>, “Bright Electrically Controllable Quantum‐Dot‐Molecule
    Devices Fabricated by In Situ Electron‐Beam Lithography,” <i>Advanced Quantum
    Technologies</i>, vol. 4, no. 6, Art. no. 2100002, 2021, doi: <a href="https://doi.org/10.1002/qute.202100002">10.1002/qute.202100002</a>.'
  mla: Schall, Johannes, et al. “Bright Electrically Controllable Quantum‐Dot‐Molecule
    Devices Fabricated by In Situ Electron‐Beam Lithography.” <i>Advanced Quantum
    Technologies</i>, vol. 4, no. 6, 2100002, Wiley, 2021, doi:<a href="https://doi.org/10.1002/qute.202100002">10.1002/qute.202100002</a>.
  short: J. Schall, M. Deconinck, N. Bart, M. Florian, M. Helversen, C. Dangel, R.
    Schmidt, L. Bremer, F. Bopp, I. Hüllen, C. Gies, D. Reuter, A.D. Wieck, S. Rodt,
    J.J. Finley, F. Jahnke, A. Ludwig, S. Reitzenstein, Advanced Quantum Technologies
    4 (2021).
date_created: 2023-07-25T08:45:57Z
date_updated: 2023-07-25T08:46:47Z
department:
- _id: '15'
- _id: '230'
doi: 10.1002/qute.202100002
intvolume: '         4'
issue: '6'
keyword:
- Electrical and Electronic Engineering
- Computational Theory and Mathematics
- Condensed Matter Physics
- Mathematical Physics
- Nuclear and High Energy Physics
- Electronic
- Optical and Magnetic Materials
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Advanced Quantum Technologies
publication_identifier:
  issn:
  - 2511-9044
  - 2511-9044
publication_status: published
publisher: Wiley
status: public
title: Bright Electrically Controllable Quantum‐Dot‐Molecule Devices Fabricated by
  In Situ Electron‐Beam Lithography
type: journal_article
user_id: '42514'
volume: 4
year: '2021'
...
---
_id: '34845'
abstract:
- lang: eng
  text: Computational Galois theory, in particular the problem of computing the Galois
    group of a given polynomial, is a very old problem. Currently, the best algorithmic
    solution is Stauduhar’s method. Computationally, one of the key challenges in
    the application of Stauduhar’s method is to find, for a given pair of groups H<G,
    a G-relative H-invariant, that is a multivariate polynomial F that is H-invariant,
    but not G-invariant. While generic, theoretical methods are known to find such
    F, in general they yield impractical answers. We give a general method for computing
    invariants of large degree which improves on previous known methods, as well as
    various special invariants that are derived from the structure of the groups.
    We then apply our new invariants to the task of computing the Galois groups of
    polynomials over the rational numbers, resulting in the first practical degree
    independent algorithm.
author:
- first_name: Claus
  full_name: Fieker, Claus
  last_name: Fieker
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fieker C, Klüners J. Computation of Galois groups of rational polynomials.
    <i>LMS Journal of Computation and Mathematics</i>. 2014;17(1):141-158. doi:<a
    href="https://doi.org/10.1112/s1461157013000302">10.1112/s1461157013000302</a>
  apa: Fieker, C., &#38; Klüners, J. (2014). Computation of Galois groups of rational
    polynomials. <i>LMS Journal of Computation and Mathematics</i>, <i>17</i>(1),
    141–158. <a href="https://doi.org/10.1112/s1461157013000302">https://doi.org/10.1112/s1461157013000302</a>
  bibtex: '@article{Fieker_Klüners_2014, title={Computation of Galois groups of rational
    polynomials}, volume={17}, DOI={<a href="https://doi.org/10.1112/s1461157013000302">10.1112/s1461157013000302</a>},
    number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley},
    author={Fieker, Claus and Klüners, Jürgen}, year={2014}, pages={141–158} }'
  chicago: 'Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational
    Polynomials.” <i>LMS Journal of Computation and Mathematics</i> 17, no. 1 (2014):
    141–58. <a href="https://doi.org/10.1112/s1461157013000302">https://doi.org/10.1112/s1461157013000302</a>.'
  ieee: 'C. Fieker and J. Klüners, “Computation of Galois groups of rational polynomials,”
    <i>LMS Journal of Computation and Mathematics</i>, vol. 17, no. 1, pp. 141–158,
    2014, doi: <a href="https://doi.org/10.1112/s1461157013000302">10.1112/s1461157013000302</a>.'
  mla: Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational
    Polynomials.” <i>LMS Journal of Computation and Mathematics</i>, vol. 17, no.
    1, Wiley, 2014, pp. 141–58, doi:<a href="https://doi.org/10.1112/s1461157013000302">10.1112/s1461157013000302</a>.
  short: C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014)
    141–158.
date_created: 2022-12-22T10:53:44Z
date_updated: 2023-03-06T09:43:56Z
department:
- _id: '102'
doi: 10.1112/s1461157013000302
external_id:
  arxiv:
  - '1211.3588'
intvolume: '        17'
issue: '1'
keyword:
- Computational Theory and Mathematics
- General Mathematics
language:
- iso: eng
page: 141-158
publication: LMS Journal of Computation and Mathematics
publication_identifier:
  issn:
  - 1461-1570
publication_status: published
publisher: Wiley
status: public
title: Computation of Galois groups of rational polynomials
type: journal_article
user_id: '93826'
volume: 17
year: '2014'
...
---
_id: '42794'
abstract:
- lang: eng
  text: We exhibit a practical algorithm for solving the constructive membership problem
    for discrete free subgroups of rank 2 in PSL₂(R) or SL₂(R). This algorithm, together
    with methods for checking whether a two-generator subgroup of PSL₂(R) or SL₂(R)
    is discrete and free, have been implemented in Magma for groups defined over real
    algebraic number fields.
author:
- first_name: B.
  full_name: Eick, B.
  last_name: Eick
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: C.
  full_name: Leedham-Green, C.
  last_name: Leedham-Green
citation:
  ama: Eick B, Kirschmer M, Leedham-Green C. The constructive membership problem for
    discrete free subgroups of rank 2 of SL₂(R). <i>LMS Journal of Computation and
    Mathematics</i>. 2014;17(1):345-359. doi:<a href="https://doi.org/10.1112/s1461157014000047">10.1112/s1461157014000047</a>
  apa: Eick, B., Kirschmer, M., &#38; Leedham-Green, C. (2014). The constructive membership
    problem for discrete free subgroups of rank 2 of SL₂(R). <i>LMS Journal of Computation
    and Mathematics</i>, <i>17</i>(1), 345–359. <a href="https://doi.org/10.1112/s1461157014000047">https://doi.org/10.1112/s1461157014000047</a>
  bibtex: '@article{Eick_Kirschmer_Leedham-Green_2014, title={The constructive membership
    problem for discrete free subgroups of rank 2 of SL₂(R)}, volume={17}, DOI={<a
    href="https://doi.org/10.1112/s1461157014000047">10.1112/s1461157014000047</a>},
    number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley},
    author={Eick, B. and Kirschmer, Markus and Leedham-Green, C.}, year={2014}, pages={345–359}
    }'
  chicago: 'Eick, B., Markus Kirschmer, and C. Leedham-Green. “The Constructive Membership
    Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” <i>LMS Journal of Computation
    and Mathematics</i> 17, no. 1 (2014): 345–59. <a href="https://doi.org/10.1112/s1461157014000047">https://doi.org/10.1112/s1461157014000047</a>.'
  ieee: 'B. Eick, M. Kirschmer, and C. Leedham-Green, “The constructive membership
    problem for discrete free subgroups of rank 2 of SL₂(R),” <i>LMS Journal of Computation
    and Mathematics</i>, vol. 17, no. 1, pp. 345–359, 2014, doi: <a href="https://doi.org/10.1112/s1461157014000047">10.1112/s1461157014000047</a>.'
  mla: Eick, B., et al. “The Constructive Membership Problem for Discrete Free Subgroups
    of Rank 2 of SL₂(R).” <i>LMS Journal of Computation and Mathematics</i>, vol.
    17, no. 1, Wiley, 2014, pp. 345–59, doi:<a href="https://doi.org/10.1112/s1461157014000047">10.1112/s1461157014000047</a>.
  short: B. Eick, M. Kirschmer, C. Leedham-Green, LMS Journal of Computation and Mathematics
    17 (2014) 345–359.
date_created: 2023-03-07T08:30:15Z
date_updated: 2023-04-04T09:31:17Z
department:
- _id: '102'
doi: 10.1112/s1461157014000047
extern: '1'
intvolume: '        17'
issue: '1'
keyword:
- Computational Theory and Mathematics
- General Mathematics
language:
- iso: eng
page: 345-359
publication: LMS Journal of Computation and Mathematics
publication_identifier:
  issn:
  - 1461-1570
publication_status: published
publisher: Wiley
status: public
title: The constructive membership problem for discrete free subgroups of rank 2 of
  SL₂(R)
type: journal_article
user_id: '93826'
volume: 17
year: '2014'
...
---
_id: '46266'
author:
- first_name: Bijan
  full_name: Alizadeh, Bijan
  last_name: Alizadeh
- first_name: Payman
  full_name: Behnam, Payman
  last_name: Behnam
- first_name: Somayeh
  full_name: Sadeghi-Kohan, Somayeh
  id: '78614'
  last_name: Sadeghi-Kohan
  orcid: https://orcid.org/0000-0001-7246-0610
citation:
  ama: Alizadeh B, Behnam P, Sadeghi-Kohan S. A Scalable Formal Debugging Approach
    with Auto-Correction Capability based on Static Slicing and Dynamic Ranking for
    RTL Datapath Designs. <i>IEEE Transactions on Computers</i>. Published online
    2014:1-1. doi:<a href="https://doi.org/10.1109/tc.2014.2329687">10.1109/tc.2014.2329687</a>
  apa: Alizadeh, B., Behnam, P., &#38; Sadeghi-Kohan, S. (2014). A Scalable Formal
    Debugging Approach with Auto-Correction Capability based on Static Slicing and
    Dynamic Ranking for RTL Datapath Designs. <i>IEEE Transactions on Computers</i>,
    1–1. <a href="https://doi.org/10.1109/tc.2014.2329687">https://doi.org/10.1109/tc.2014.2329687</a>
  bibtex: '@article{Alizadeh_Behnam_Sadeghi-Kohan_2014, title={A Scalable Formal Debugging
    Approach with Auto-Correction Capability based on Static Slicing and Dynamic Ranking
    for RTL Datapath Designs}, DOI={<a href="https://doi.org/10.1109/tc.2014.2329687">10.1109/tc.2014.2329687</a>},
    journal={IEEE Transactions on Computers}, publisher={Institute of Electrical and
    Electronics Engineers (IEEE)}, author={Alizadeh, Bijan and Behnam, Payman and
    Sadeghi-Kohan, Somayeh}, year={2014}, pages={1–1} }'
  chicago: Alizadeh, Bijan, Payman Behnam, and Somayeh Sadeghi-Kohan. “A Scalable
    Formal Debugging Approach with Auto-Correction Capability Based on Static Slicing
    and Dynamic Ranking for RTL Datapath Designs.” <i>IEEE Transactions on Computers</i>,
    2014, 1–1. <a href="https://doi.org/10.1109/tc.2014.2329687">https://doi.org/10.1109/tc.2014.2329687</a>.
  ieee: 'B. Alizadeh, P. Behnam, and S. Sadeghi-Kohan, “A Scalable Formal Debugging
    Approach with Auto-Correction Capability based on Static Slicing and Dynamic Ranking
    for RTL Datapath Designs,” <i>IEEE Transactions on Computers</i>, pp. 1–1, 2014,
    doi: <a href="https://doi.org/10.1109/tc.2014.2329687">10.1109/tc.2014.2329687</a>.'
  mla: Alizadeh, Bijan, et al. “A Scalable Formal Debugging Approach with Auto-Correction
    Capability Based on Static Slicing and Dynamic Ranking for RTL Datapath Designs.”
    <i>IEEE Transactions on Computers</i>, Institute of Electrical and Electronics
    Engineers (IEEE), 2014, pp. 1–1, doi:<a href="https://doi.org/10.1109/tc.2014.2329687">10.1109/tc.2014.2329687</a>.
  short: B. Alizadeh, P. Behnam, S. Sadeghi-Kohan, IEEE Transactions on Computers
    (2014) 1–1.
date_created: 2023-08-02T11:15:22Z
date_updated: 2023-08-02T11:32:37Z
department:
- _id: '48'
doi: 10.1109/tc.2014.2329687
extern: '1'
keyword:
- Computational Theory and Mathematics
- Hardware and Architecture
- Theoretical Computer Science
- Software
language:
- iso: eng
page: 1-1
publication: IEEE Transactions on Computers
publication_identifier:
  issn:
  - 0018-9340
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: A Scalable Formal Debugging Approach with Auto-Correction Capability based
  on Static Slicing and Dynamic Ranking for RTL Datapath Designs
type: journal_article
user_id: '78614'
year: '2014'
...
---
_id: '42796'
abstract:
- lang: eng
  text: "We give an enumeration of all positive definite primitive Z-lattices in dimension
    n ≥ 3 whose genus consists of a single isometry class. This is achieved by using
    bounds obtained from the Smith–Minkowski–Siegel mass formula to computationally
    construct the square-free determinant lattices with this property, and then repeatedly
    calculating pre-images under a mapping first introduced by G. L. Watson.\r\n\r\nWe
    hereby complete the classification of single-class genera in dimensions 4 and
    5 and correct some mistakes in Watson’s classifications in other dimensions. A
    list of all single-class primitive Z-lattices has been compiled and incorporated
    into the Catalogue of Lattices."
author:
- first_name: David
  full_name: Lorch, David
  last_name: Lorch
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Lorch D, Kirschmer M. Single-class genera of positive integral lattices. <i>LMS
    Journal of Computation and Mathematics</i>. 2013;16:172-186. doi:<a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>
  apa: Lorch, D., &#38; Kirschmer, M. (2013). Single-class genera of positive integral
    lattices. <i>LMS Journal of Computation and Mathematics</i>, <i>16</i>, 172–186.
    <a href="https://doi.org/10.1112/s1461157013000107">https://doi.org/10.1112/s1461157013000107</a>
  bibtex: '@article{Lorch_Kirschmer_2013, title={Single-class genera of positive integral
    lattices}, volume={16}, DOI={<a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>},
    journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Lorch,
    David and Kirschmer, Markus}, year={2013}, pages={172–186} }'
  chicago: 'Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral
    Lattices.” <i>LMS Journal of Computation and Mathematics</i> 16 (2013): 172–86.
    <a href="https://doi.org/10.1112/s1461157013000107">https://doi.org/10.1112/s1461157013000107</a>.'
  ieee: 'D. Lorch and M. Kirschmer, “Single-class genera of positive integral lattices,”
    <i>LMS Journal of Computation and Mathematics</i>, vol. 16, pp. 172–186, 2013,
    doi: <a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>.'
  mla: Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral
    Lattices.” <i>LMS Journal of Computation and Mathematics</i>, vol. 16, Wiley,
    2013, pp. 172–86, doi:<a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>.
  short: D. Lorch, M. Kirschmer, LMS Journal of Computation and Mathematics 16 (2013)
    172–186.
date_created: 2023-03-07T08:34:28Z
date_updated: 2023-04-04T07:57:04Z
department:
- _id: '102'
doi: 10.1112/s1461157013000107
extern: '1'
intvolume: '        16'
keyword:
- Computational Theory and Mathematics
- General Mathematics
language:
- iso: eng
page: 172-186
publication: LMS Journal of Computation and Mathematics
publication_identifier:
  issn:
  - 1461-1570
publication_status: published
publisher: Wiley
status: public
title: Single-class genera of positive integral lattices
type: journal_article
user_id: '93826'
volume: 16
year: '2013'
...
---
_id: '45933'
author:
- first_name: J.
  full_name: Karátson, J.
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Karátson J, Kovács B. Variable preconditioning in complex Hilbert space and
    its application to the nonlinear Schrödinger equation. <i>Computers &#38;amp;
    Mathematics with Applications</i>. 2012;65(3):449-459. doi:<a href="https://doi.org/10.1016/j.camwa.2012.04.021">10.1016/j.camwa.2012.04.021</a>
  apa: Karátson, J., &#38; Kovács, B. (2012). Variable preconditioning in complex
    Hilbert space and its application to the nonlinear Schrödinger equation. <i>Computers
    &#38;amp; Mathematics with Applications</i>, <i>65</i>(3), 449–459. <a href="https://doi.org/10.1016/j.camwa.2012.04.021">https://doi.org/10.1016/j.camwa.2012.04.021</a>
  bibtex: '@article{Karátson_Kovács_2012, title={Variable preconditioning in complex
    Hilbert space and its application to the nonlinear Schrödinger equation}, volume={65},
    DOI={<a href="https://doi.org/10.1016/j.camwa.2012.04.021">10.1016/j.camwa.2012.04.021</a>},
    number={3}, journal={Computers &#38;amp; Mathematics with Applications}, publisher={Elsevier
    BV}, author={Karátson, J. and Kovács, Balázs}, year={2012}, pages={449–459} }'
  chicago: 'Karátson, J., and Balázs Kovács. “Variable Preconditioning in Complex
    Hilbert Space and Its Application to the Nonlinear Schrödinger Equation.” <i>Computers
    &#38;amp; Mathematics with Applications</i> 65, no. 3 (2012): 449–59. <a href="https://doi.org/10.1016/j.camwa.2012.04.021">https://doi.org/10.1016/j.camwa.2012.04.021</a>.'
  ieee: 'J. Karátson and B. Kovács, “Variable preconditioning in complex Hilbert space
    and its application to the nonlinear Schrödinger equation,” <i>Computers &#38;amp;
    Mathematics with Applications</i>, vol. 65, no. 3, pp. 449–459, 2012, doi: <a
    href="https://doi.org/10.1016/j.camwa.2012.04.021">10.1016/j.camwa.2012.04.021</a>.'
  mla: Karátson, J., and Balázs Kovács. “Variable Preconditioning in Complex Hilbert
    Space and Its Application to the Nonlinear Schrödinger Equation.” <i>Computers
    &#38;amp; Mathematics with Applications</i>, vol. 65, no. 3, Elsevier BV, 2012,
    pp. 449–59, doi:<a href="https://doi.org/10.1016/j.camwa.2012.04.021">10.1016/j.camwa.2012.04.021</a>.
  short: J. Karátson, B. Kovács, Computers &#38;amp; Mathematics with Applications
    65 (2012) 449–459.
date_created: 2023-07-10T11:33:50Z
date_updated: 2024-04-03T09:23:54Z
department:
- _id: '841'
doi: 10.1016/j.camwa.2012.04.021
intvolume: '        65'
issue: '3'
keyword:
- Computational Mathematics
- Computational Theory and Mathematics
- Modeling and Simulation
language:
- iso: eng
page: 449-459
publication: Computers &amp; Mathematics with Applications
publication_identifier:
  issn:
  - 0898-1221
publication_status: published
publisher: Elsevier BV
status: public
title: Variable preconditioning in complex Hilbert space and its application to the
  nonlinear Schrödinger equation
type: journal_article
user_id: '100441'
volume: 65
year: '2012'
...
---
_id: '45431'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems.
    <i>Computational Mechanics</i>. 2008;15(5):408-425. doi:<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>
  apa: Mahnken, R. (2008). A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems. <i>Computational Mechanics</i>, <i>15</i>(5), 408–425. <a href="https://doi.org/10.1007/bf00350355">https://doi.org/10.1007/bf00350355</a>
  bibtex: '@article{Mahnken_2008, title={A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems}, volume={15}, DOI={<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>},
    number={5}, journal={Computational Mechanics}, publisher={Springer Science and
    Business Media LLC}, author={Mahnken, Rolf}, year={2008}, pages={408–425} }'
  chicago: 'Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic
    Problems.” <i>Computational Mechanics</i> 15, no. 5 (2008): 408–25. <a href="https://doi.org/10.1007/bf00350355">https://doi.org/10.1007/bf00350355</a>.'
  ieee: 'R. Mahnken, “A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems,” <i>Computational Mechanics</i>, vol. 15, no. 5, pp. 408–425, 2008,
    doi: <a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>.'
  mla: Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic
    Problems.” <i>Computational Mechanics</i>, vol. 15, no. 5, Springer Science and
    Business Media LLC, 2008, pp. 408–25, doi:<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>.
  short: R. Mahnken, Computational Mechanics 15 (2008) 408–425.
date_created: 2023-05-31T12:26:42Z
date_updated: 2023-05-31T12:27:11Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/bf00350355
intvolume: '        15'
issue: '5'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 408-425
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems
type: journal_article
user_id: '335'
volume: 15
year: '2008'
...
---
_id: '45423'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Improved implementation of an algorithm for non-linear isotropic/kinematic
    hardening in elastoplasticity. <i>Communications in Numerical Methods in Engineering</i>.
    2002;15(10):745-754. doi:<a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>
  apa: Mahnken, R. (2002). Improved implementation of an algorithm for non-linear
    isotropic/kinematic hardening in elastoplasticity. <i>Communications in Numerical
    Methods in Engineering</i>, <i>15</i>(10), 745–754. <a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>
  bibtex: '@article{Mahnken_2002, title={Improved implementation of an algorithm for
    non-linear isotropic/kinematic hardening in elastoplasticity}, volume={15}, DOI={<a
    href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>},
    number={10}, journal={Communications in Numerical Methods in Engineering}, publisher={Wiley},
    author={Mahnken, Rolf}, year={2002}, pages={745–754} }'
  chicago: 'Mahnken, Rolf. “Improved Implementation of an Algorithm for Non-Linear
    Isotropic/Kinematic Hardening in Elastoplasticity.” <i>Communications in Numerical
    Methods in Engineering</i> 15, no. 10 (2002): 745–54. <a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.'
  ieee: 'R. Mahnken, “Improved implementation of an algorithm for non-linear isotropic/kinematic
    hardening in elastoplasticity,” <i>Communications in Numerical Methods in Engineering</i>,
    vol. 15, no. 10, pp. 745–754, 2002, doi: <a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.'
  mla: Mahnken, Rolf. “Improved Implementation of an Algorithm for Non-Linear Isotropic/Kinematic
    Hardening in Elastoplasticity.” <i>Communications in Numerical Methods in Engineering</i>,
    vol. 15, no. 10, Wiley, 2002, pp. 745–54, doi:<a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.
  short: R. Mahnken, Communications in Numerical Methods in Engineering 15 (2002)
    745–754.
date_created: 2023-05-31T12:14:42Z
date_updated: 2023-05-31T12:15:12Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/(sici)1099-0887(199910)15:10<745::aid-cnm288>3.0.co;2-r
intvolume: '        15'
issue: '10'
keyword:
- Applied Mathematics
- Computational Theory and Mathematics
- General Engineering
- Modeling and Simulation
- Software
language:
- iso: eng
page: 745-754
publication: Communications in Numerical Methods in Engineering
publication_identifier:
  issn:
  - 1069-8299
  - 1099-0887
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Improved implementation of an algorithm for non-linear isotropic/kinematic
  hardening in elastoplasticity
type: journal_article
user_id: '335'
volume: 15
year: '2002'
...
---
_id: '45417'
author:
- first_name: C.
  full_name: Döbert, C.
  last_name: Döbert
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
citation:
  ama: Döbert C, Mahnken R, Stein E. Numerical simulation of interface debonding with
    a combined damage/friction constitutive model. <i>Computational Mechanics</i>.
    2002;25(5):456-467. doi:<a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>
  apa: Döbert, C., Mahnken, R., &#38; Stein, E. (2002). Numerical simulation of interface
    debonding with a combined damage/friction constitutive model. <i>Computational
    Mechanics</i>, <i>25</i>(5), 456–467. <a href="https://doi.org/10.1007/s004660050493">https://doi.org/10.1007/s004660050493</a>
  bibtex: '@article{Döbert_Mahnken_Stein_2002, title={Numerical simulation of interface
    debonding with a combined damage/friction constitutive model}, volume={25}, DOI={<a
    href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>}, number={5},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Döbert, C. and Mahnken, Rolf and Stein, E.}, year={2002}, pages={456–467}
    }'
  chicago: 'Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface
    Debonding with a Combined Damage/Friction Constitutive Model.” <i>Computational
    Mechanics</i> 25, no. 5 (2002): 456–67. <a href="https://doi.org/10.1007/s004660050493">https://doi.org/10.1007/s004660050493</a>.'
  ieee: 'C. Döbert, R. Mahnken, and E. Stein, “Numerical simulation of interface debonding
    with a combined damage/friction constitutive model,” <i>Computational Mechanics</i>,
    vol. 25, no. 5, pp. 456–467, 2002, doi: <a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>.'
  mla: Döbert, C., et al. “Numerical Simulation of Interface Debonding with a Combined
    Damage/Friction Constitutive Model.” <i>Computational Mechanics</i>, vol. 25,
    no. 5, Springer Science and Business Media LLC, 2002, pp. 456–67, doi:<a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>.
  short: C. Döbert, R. Mahnken, E. Stein, Computational Mechanics 25 (2002) 456–467.
date_created: 2023-05-31T12:04:03Z
date_updated: 2023-05-31T12:04:35Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/s004660050493
intvolume: '        25'
issue: '5'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 456-467
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Numerical simulation of interface debonding with a combined damage/friction
  constitutive model
type: journal_article
user_id: '335'
volume: 25
year: '2002'
...
---
_id: '45427'
abstract:
- lang: eng
  text: '<jats:p>In this work a gradient‐based optimization method is applied in order
    to determine material parameters for a viscoplastic model with dynamic yield surface
    coupled to damage as presented in 1997. To this end a sensitivity analysis consistent
    with the integration scheme presented previously is performed in a systematic
    manner, both for strain and stress controlled experiments. The algorithm is tested
    in two numerical examples: first, simulated data are used, in order to re‐obtain
    parameters for the case of damage under monotonic loading. In the second example
    material parameters are obtained based on experimental data for lcf‐testing of
    an austenetic stainless steel, thus showing a very good agreement with respect
    to hardening, rate and damage effects.</jats:p>'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Magnus
  full_name: Johansson, Magnus
  last_name: Johansson
- first_name: Kenneth
  full_name: Runesson, Kenneth
  last_name: Runesson
citation:
  ama: Mahnken R, Johansson M, Runesson K. Parameter estimation for a viscoplastic
    damage model using a gradient‐based optimization algorithm. <i>Engineering Computations</i>.
    2002;15(7):925-955. doi:<a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>
  apa: Mahnken, R., Johansson, M., &#38; Runesson, K. (2002). Parameter estimation
    for a viscoplastic damage model using a gradient‐based optimization algorithm.
    <i>Engineering Computations</i>, <i>15</i>(7), 925–955. <a href="https://doi.org/10.1108/02644409810236920">https://doi.org/10.1108/02644409810236920</a>
  bibtex: '@article{Mahnken_Johansson_Runesson_2002, title={Parameter estimation for
    a viscoplastic damage model using a gradient‐based optimization algorithm}, volume={15},
    DOI={<a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>},
    number={7}, journal={Engineering Computations}, publisher={Emerald}, author={Mahnken,
    Rolf and Johansson, Magnus and Runesson, Kenneth}, year={2002}, pages={925–955}
    }'
  chicago: 'Mahnken, Rolf, Magnus Johansson, and Kenneth Runesson. “Parameter Estimation
    for a Viscoplastic Damage Model Using a Gradient‐based Optimization Algorithm.”
    <i>Engineering Computations</i> 15, no. 7 (2002): 925–55. <a href="https://doi.org/10.1108/02644409810236920">https://doi.org/10.1108/02644409810236920</a>.'
  ieee: 'R. Mahnken, M. Johansson, and K. Runesson, “Parameter estimation for a viscoplastic
    damage model using a gradient‐based optimization algorithm,” <i>Engineering Computations</i>,
    vol. 15, no. 7, pp. 925–955, 2002, doi: <a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>.'
  mla: Mahnken, Rolf, et al. “Parameter Estimation for a Viscoplastic Damage Model
    Using a Gradient‐based Optimization Algorithm.” <i>Engineering Computations</i>,
    vol. 15, no. 7, Emerald, 2002, pp. 925–55, doi:<a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>.
  short: R. Mahnken, M. Johansson, K. Runesson, Engineering Computations 15 (2002)
    925–955.
date_created: 2023-05-31T12:20:54Z
date_updated: 2023-05-31T12:21:15Z
department:
- _id: '9'
- _id: '154'
doi: 10.1108/02644409810236920
intvolume: '        15'
issue: '7'
keyword:
- Computational Theory and Mathematics
- Computer Science Applications
- General Engineering
- Software
language:
- iso: eng
page: 925-955
publication: Engineering Computations
publication_identifier:
  issn:
  - 0264-4401
publication_status: published
publisher: Emerald
quality_controlled: '1'
status: public
title: Parameter estimation for a viscoplastic damage model using a gradient‐based
  optimization algorithm
type: journal_article
user_id: '335'
volume: 15
year: '2002'
...
---
_id: '34897'
abstract:
- lang: eng
  text: This paper announces the creation of a database for number fields. It describes
    the contents and the methods of access, indicates the origin of the polynomials,
    and formulates the aims of this collection of fields.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Gunter
  full_name: Malle, Gunter
  last_name: Malle
citation:
  ama: Klüners J, Malle G. A Database for Field Extensions of the Rationals. <i>LMS
    Journal of Computation and Mathematics</i>. 2001;4:182-196. doi:<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>
  apa: Klüners, J., &#38; Malle, G. (2001). A Database for Field Extensions of the
    Rationals. <i>LMS Journal of Computation and Mathematics</i>, <i>4</i>, 182–196.
    <a href="https://doi.org/10.1112/s1461157000000851">https://doi.org/10.1112/s1461157000000851</a>
  bibtex: '@article{Klüners_Malle_2001, title={A Database for Field Extensions of
    the Rationals}, volume={4}, DOI={<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>},
    journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Klüners,
    Jürgen and Malle, Gunter}, year={2001}, pages={182–196} }'
  chicago: 'Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of
    the Rationals.” <i>LMS Journal of Computation and Mathematics</i> 4 (2001): 182–96.
    <a href="https://doi.org/10.1112/s1461157000000851">https://doi.org/10.1112/s1461157000000851</a>.'
  ieee: 'J. Klüners and G. Malle, “A Database for Field Extensions of the Rationals,”
    <i>LMS Journal of Computation and Mathematics</i>, vol. 4, pp. 182–196, 2001,
    doi: <a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>.'
  mla: Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of the
    Rationals.” <i>LMS Journal of Computation and Mathematics</i>, vol. 4, Wiley,
    2001, pp. 182–96, doi:<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>.
  short: J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001)
    182–196.
date_created: 2022-12-23T09:56:22Z
date_updated: 2023-03-02T09:53:08Z
department:
- _id: '102'
doi: 10.1112/s1461157000000851
external_id:
  arxiv:
  - math/0102232
intvolume: '         4'
keyword:
- Computational Theory and Mathematics
- General Mathematics
language:
- iso: eng
page: 182-196
publication: LMS Journal of Computation and Mathematics
publication_identifier:
  issn:
  - 1461-1570
publication_status: published
publisher: Wiley
status: public
title: A Database for Field Extensions of the Rationals
type: journal_article
user_id: '93826'
volume: 4
year: '2001'
...