---
_id: '31291'
abstract:
- lang: eng
  text: <jats:p>We consider a simple model of an open partially expanding map. Its
    trapped set <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="gif" xlink:type="simple" xlink:href="S0143385715000346_inline1"
    /><jats:tex-math>${\mathcal{K}}$</jats:tex-math></jats:alternatives></jats:inline-formula>
    in phase space is a fractal set. We first show that there is a well-defined discrete
    spectrum of Ruelle resonances which describes the asymptotic of correlation functions
    for large time and which is parametrized by the Fourier component <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0143385715000346_inline2" /><jats:tex-math>$\unicode[STIX]{x1D708}$</jats:tex-math></jats:alternatives></jats:inline-formula>
    in the neutral direction of the dynamics. We introduce a specific hypothesis on
    the dynamics that we call ‘minimal captivity’. This hypothesis is stable under
    perturbations and means that the dynamics is univalued in a neighborhood of <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0143385715000346_inline3" /><jats:tex-math>${\mathcal{K}}$</jats:tex-math></jats:alternatives></jats:inline-formula>.
    Under this hypothesis we show the existence of an asymptotic spectral gap and
    a fractal Weyl law for the upper bound of density of Ruelle resonances in the
    semiclassical limit <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0143385715000346_inline4" /><jats:tex-math>$\unicode[STIX]{x1D708}\rightarrow
    \infty$</jats:tex-math></jats:alternatives></jats:inline-formula>. Some numerical
    computations with the truncated Gauss map and Bowen–Series maps illustrate these
    results.</jats:p>
author:
- first_name: JEAN FRANCOIS
  full_name: ARNOLDI, JEAN FRANCOIS
  last_name: ARNOLDI
- first_name: FRÉDÉRIC
  full_name: FAURE, FRÉDÉRIC
  last_name: FAURE
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: ARNOLDI JF, FAURE F, Weich T. Asymptotic spectral gap and Weyl law for Ruelle
    resonances of open partially expanding maps. <i>Ergodic Theory and Dynamical Systems</i>.
    2015;37(1):1-58. doi:<a href="https://doi.org/10.1017/etds.2015.34">10.1017/etds.2015.34</a>
  apa: ARNOLDI, J. F., FAURE, F., &#38; Weich, T. (2015). Asymptotic spectral gap
    and Weyl law for Ruelle resonances of open partially expanding maps. <i>Ergodic
    Theory and Dynamical Systems</i>, <i>37</i>(1), 1–58. <a href="https://doi.org/10.1017/etds.2015.34">https://doi.org/10.1017/etds.2015.34</a>
  bibtex: '@article{ARNOLDI_FAURE_Weich_2015, title={Asymptotic spectral gap and Weyl
    law for Ruelle resonances of open partially expanding maps}, volume={37}, DOI={<a
    href="https://doi.org/10.1017/etds.2015.34">10.1017/etds.2015.34</a>}, number={1},
    journal={Ergodic Theory and Dynamical Systems}, publisher={Cambridge University
    Press (CUP)}, author={ARNOLDI, JEAN FRANCOIS and FAURE, FRÉDÉRIC and Weich, Tobias},
    year={2015}, pages={1–58} }'
  chicago: 'ARNOLDI, JEAN FRANCOIS, FRÉDÉRIC FAURE, and Tobias Weich. “Asymptotic
    Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.”
    <i>Ergodic Theory and Dynamical Systems</i> 37, no. 1 (2015): 1–58. <a href="https://doi.org/10.1017/etds.2015.34">https://doi.org/10.1017/etds.2015.34</a>.'
  ieee: 'J. F. ARNOLDI, F. FAURE, and T. Weich, “Asymptotic spectral gap and Weyl
    law for Ruelle resonances of open partially expanding maps,” <i>Ergodic Theory
    and Dynamical Systems</i>, vol. 37, no. 1, pp. 1–58, 2015, doi: <a href="https://doi.org/10.1017/etds.2015.34">10.1017/etds.2015.34</a>.'
  mla: ARNOLDI, JEAN FRANCOIS, et al. “Asymptotic Spectral Gap and Weyl Law for Ruelle
    Resonances of Open Partially Expanding Maps.” <i>Ergodic Theory and Dynamical
    Systems</i>, vol. 37, no. 1, Cambridge University Press (CUP), 2015, pp. 1–58,
    doi:<a href="https://doi.org/10.1017/etds.2015.34">10.1017/etds.2015.34</a>.
  short: J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems 37
    (2015) 1–58.
date_created: 2022-05-17T12:55:26Z
date_updated: 2022-05-19T10:15:54Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1017/etds.2015.34
external_id:
  arxiv:
  - '1302.3087'
intvolume: '        37'
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1-58
publication: Ergodic Theory and Dynamical Systems
publication_identifier:
  issn:
  - 0143-3857
  - 1469-4417
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially
  expanding maps
type: journal_article
user_id: '49178'
volume: 37
year: '2015'
...
---
_id: '45935'
author:
- first_name: Owe
  full_name: Axelsson, Owe
  last_name: Axelsson
- first_name: János
  full_name: Karátson, János
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  last_name: Kovács
citation:
  ama: Axelsson O, Karátson J, Kovács B. Robust Preconditioning Estimates for Convection-Dominated
    Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality. <i>SIAM Journal
    on Numerical Analysis</i>. 2014;52(6):2957-2976. doi:<a href="https://doi.org/10.1137/130940268">10.1137/130940268</a>
  apa: Axelsson, O., Karátson, J., &#38; Kovács, B. (2014). Robust Preconditioning
    Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs
    Inequality. <i>SIAM Journal on Numerical Analysis</i>, <i>52</i>(6), 2957–2976.
    <a href="https://doi.org/10.1137/130940268">https://doi.org/10.1137/130940268</a>
  bibtex: '@article{Axelsson_Karátson_Kovács_2014, title={Robust Preconditioning Estimates
    for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs
    Inequality}, volume={52}, DOI={<a href="https://doi.org/10.1137/130940268">10.1137/130940268</a>},
    number={6}, journal={SIAM Journal on Numerical Analysis}, publisher={Society for
    Industrial &#38; Applied Mathematics (SIAM)}, author={Axelsson, Owe and Karátson,
    János and Kovács, Balázs}, year={2014}, pages={2957–2976} }'
  chicago: 'Axelsson, Owe, János Karátson, and Balázs Kovács. “Robust Preconditioning
    Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs
    Inequality.” <i>SIAM Journal on Numerical Analysis</i> 52, no. 6 (2014): 2957–76.
    <a href="https://doi.org/10.1137/130940268">https://doi.org/10.1137/130940268</a>.'
  ieee: 'O. Axelsson, J. Karátson, and B. Kovács, “Robust Preconditioning Estimates
    for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs
    Inequality,” <i>SIAM Journal on Numerical Analysis</i>, vol. 52, no. 6, pp. 2957–2976,
    2014, doi: <a href="https://doi.org/10.1137/130940268">10.1137/130940268</a>.'
  mla: Axelsson, Owe, et al. “Robust Preconditioning Estimates for Convection-Dominated
    Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality.” <i>SIAM Journal
    on Numerical Analysis</i>, vol. 52, no. 6, Society for Industrial &#38; Applied
    Mathematics (SIAM), 2014, pp. 2957–76, doi:<a href="https://doi.org/10.1137/130940268">10.1137/130940268</a>.
  short: O. Axelsson, J. Karátson, B. Kovács, SIAM Journal on Numerical Analysis 52
    (2014) 2957–2976.
date_created: 2023-07-10T11:35:14Z
date_updated: 2024-04-03T09:23:35Z
department:
- _id: '841'
doi: 10.1137/130940268
intvolume: '        52'
issue: '6'
keyword:
- Numerical Analysis
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 2957-2976
publication: SIAM Journal on Numerical Analysis
publication_identifier:
  issn:
  - 0036-1429
  - 1095-7170
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems
  via a Streamline Poincaré--Friedrichs Inequality
type: journal_article
user_id: '100441'
volume: 52
year: '2014'
...
---
_id: '45934'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Kovács B. On the numerical performance of a sharp a posteriori error estimator
    for some nonlinear elliptic problems. <i>Applications of Mathematics</i>. 2014;59(5):489-508.
    doi:<a href="https://doi.org/10.1007/s10492-014-0068-0">10.1007/s10492-014-0068-0</a>
  apa: Kovács, B. (2014). On the numerical performance of a sharp a posteriori error
    estimator for some nonlinear elliptic problems. <i>Applications of Mathematics</i>,
    <i>59</i>(5), 489–508. <a href="https://doi.org/10.1007/s10492-014-0068-0">https://doi.org/10.1007/s10492-014-0068-0</a>
  bibtex: '@article{Kovács_2014, title={On the numerical performance of a sharp a
    posteriori error estimator for some nonlinear elliptic problems}, volume={59},
    DOI={<a href="https://doi.org/10.1007/s10492-014-0068-0">10.1007/s10492-014-0068-0</a>},
    number={5}, journal={Applications of Mathematics}, publisher={Institute of Mathematics,
    Czech Academy of Sciences}, author={Kovács, Balázs}, year={2014}, pages={489–508}
    }'
  chicago: 'Kovács, Balázs. “On the Numerical Performance of a Sharp a Posteriori
    Error Estimator for Some Nonlinear Elliptic Problems.” <i>Applications of Mathematics</i>
    59, no. 5 (2014): 489–508. <a href="https://doi.org/10.1007/s10492-014-0068-0">https://doi.org/10.1007/s10492-014-0068-0</a>.'
  ieee: 'B. Kovács, “On the numerical performance of a sharp a posteriori error estimator
    for some nonlinear elliptic problems,” <i>Applications of Mathematics</i>, vol.
    59, no. 5, pp. 489–508, 2014, doi: <a href="https://doi.org/10.1007/s10492-014-0068-0">10.1007/s10492-014-0068-0</a>.'
  mla: Kovács, Balázs. “On the Numerical Performance of a Sharp a Posteriori Error
    Estimator for Some Nonlinear Elliptic Problems.” <i>Applications of Mathematics</i>,
    vol. 59, no. 5, Institute of Mathematics, Czech Academy of Sciences, 2014, pp.
    489–508, doi:<a href="https://doi.org/10.1007/s10492-014-0068-0">10.1007/s10492-014-0068-0</a>.
  short: B. Kovács, Applications of Mathematics 59 (2014) 489–508.
date_created: 2023-07-10T11:34:27Z
date_updated: 2024-04-03T09:23:47Z
department:
- _id: '841'
doi: 10.1007/s10492-014-0068-0
intvolume: '        59'
issue: '5'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 489-508
publication: Applications of Mathematics
publication_identifier:
  issn:
  - 0862-7940
  - 1572-9109
publication_status: published
publisher: Institute of Mathematics, Czech Academy of Sciences
status: public
title: On the numerical performance of a sharp a posteriori error estimator for some
  nonlinear elliptic problems
type: journal_article
user_id: '100441'
volume: 59
year: '2014'
...
---
_id: '31296'
author:
- first_name: Sonja
  full_name: Barkhofen, Sonja
  id: '48188'
  last_name: Barkhofen
- first_name: F
  full_name: Faure, F
  last_name: Faure
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized
    zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>. 2014;27(8):1829-1858.
    doi:<a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>
  apa: Barkhofen, S., Faure, F., &#38; Weich, T. (2014). Resonance chains in open
    systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>,
    <i>27</i>(8), 1829–1858. <a href="https://doi.org/10.1088/0951-7715/27/8/1829">https://doi.org/10.1088/0951-7715/27/8/1829</a>
  bibtex: '@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems,
    generalized zeta functions and clustering of the length spectrum}, volume={27},
    DOI={<a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>},
    number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen,
    Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }'
  chicago: 'Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open
    Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i>
    27, no. 8 (2014): 1829–58. <a href="https://doi.org/10.1088/0951-7715/27/8/1829">https://doi.org/10.1088/0951-7715/27/8/1829</a>.'
  ieee: 'S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems,
    generalized zeta functions and clustering of the length spectrum,” <i>Nonlinearity</i>,
    vol. 27, no. 8, pp. 1829–1858, 2014, doi: <a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>.'
  mla: Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta
    Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i>, vol. 27,
    no. 8, IOP Publishing, 2014, pp. 1829–58, doi:<a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>.
  short: S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858.
date_created: 2022-05-17T12:58:25Z
date_updated: 2023-01-19T08:56:12Z
department:
- _id: '10'
- _id: '548'
- _id: '288'
doi: 10.1088/0951-7715/27/8/1829
external_id:
  arxiv:
  - '1403.7771 '
intvolume: '        27'
issue: '8'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1829-1858
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Resonance chains in open systems, generalized zeta functions and clustering
  of the length spectrum
type: journal_article
user_id: '48188'
volume: 27
year: '2014'
...
---
_id: '37667'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Heiko
  full_name: Remling, Heiko
  last_name: Remling
citation:
  ama: Rösler M, Remling H. Convolution algebras for Heckman–Opdam polynomials derived
    from compact Grassmannians. <i>Journal of Approximation Theory</i>. 2014;197:30-48.
    doi:<a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>
  apa: Rösler, M., &#38; Remling, H. (2014). Convolution algebras for Heckman–Opdam
    polynomials derived from compact Grassmannians. <i>Journal of Approximation Theory</i>,
    <i>197</i>, 30–48. <a href="https://doi.org/10.1016/j.jat.2014.07.005">https://doi.org/10.1016/j.jat.2014.07.005</a>
  bibtex: '@article{Rösler_Remling_2014, title={Convolution algebras for Heckman–Opdam
    polynomials derived from compact Grassmannians}, volume={197}, DOI={<a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>},
    journal={Journal of Approximation Theory}, publisher={Elsevier BV}, author={Rösler,
    Margit and Remling, Heiko}, year={2014}, pages={30–48} }'
  chicago: 'Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam
    Polynomials Derived from Compact Grassmannians.” <i>Journal of Approximation Theory</i>
    197 (2014): 30–48. <a href="https://doi.org/10.1016/j.jat.2014.07.005">https://doi.org/10.1016/j.jat.2014.07.005</a>.'
  ieee: 'M. Rösler and H. Remling, “Convolution algebras for Heckman–Opdam polynomials
    derived from compact Grassmannians,” <i>Journal of Approximation Theory</i>, vol.
    197, pp. 30–48, 2014, doi: <a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>.'
  mla: Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam
    Polynomials Derived from Compact Grassmannians.” <i>Journal of Approximation Theory</i>,
    vol. 197, Elsevier BV, 2014, pp. 30–48, doi:<a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>.
  short: M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48.
date_created: 2023-01-20T09:30:22Z
date_updated: 2023-01-24T22:15:33Z
department:
- _id: '555'
doi: 10.1016/j.jat.2014.07.005
intvolume: '       197'
keyword:
- Applied Mathematics
- General Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 30-48
publication: Journal of Approximation Theory
publication_identifier:
  issn:
  - 0021-9045
publication_status: published
publisher: Elsevier BV
status: public
title: Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians
type: journal_article
user_id: '93826'
volume: 197
year: '2014'
...
---
_id: '32475'
author:
- first_name: Oleg P.
  full_name: Korobeinichev, Oleg P.
  last_name: Korobeinichev
- first_name: Alexander A.
  full_name: Paletsky, Alexander A.
  last_name: Paletsky
- first_name: Munko B.
  full_name: Gonchikzhapov, Munko B.
  last_name: Gonchikzhapov
- first_name: Inna K.
  full_name: Shundrina, Inna K.
  last_name: Shundrina
- first_name: Haixiang
  full_name: Chen, Haixiang
  last_name: Chen
- first_name: Naian
  full_name: Liu, Naian
  last_name: Liu
citation:
  ama: Korobeinichev OP, Paletsky AA, Gonchikzhapov MB, Shundrina IK, Chen H, Liu
    N. Influence of Triphenyl Phosphate on Degradation Kinetics of Ultrahigh-molecular-weight
    Polyethylene in Inert and Oxidative Media. <i>Procedia Engineering</i>. 2013;62:359-365.
    doi:<a href="https://doi.org/10.1016/j.proeng.2013.08.076">10.1016/j.proeng.2013.08.076</a>
  apa: Korobeinichev, O. P., Paletsky, A. A., Gonchikzhapov, M. B., Shundrina, I.
    K., Chen, H., &#38; Liu, N. (2013). Influence of Triphenyl Phosphate on Degradation
    Kinetics of Ultrahigh-molecular-weight Polyethylene in Inert and Oxidative Media.
    <i>Procedia Engineering</i>, <i>62</i>, 359–365. <a href="https://doi.org/10.1016/j.proeng.2013.08.076">https://doi.org/10.1016/j.proeng.2013.08.076</a>
  bibtex: '@article{Korobeinichev_Paletsky_Gonchikzhapov_Shundrina_Chen_Liu_2013,
    title={Influence of Triphenyl Phosphate on Degradation Kinetics of Ultrahigh-molecular-weight
    Polyethylene in Inert and Oxidative Media}, volume={62}, DOI={<a href="https://doi.org/10.1016/j.proeng.2013.08.076">10.1016/j.proeng.2013.08.076</a>},
    journal={Procedia Engineering}, publisher={Elsevier BV}, author={Korobeinichev,
    Oleg P. and Paletsky, Alexander A. and Gonchikzhapov, Munko B. and Shundrina,
    Inna K. and Chen, Haixiang and Liu, Naian}, year={2013}, pages={359–365} }'
  chicago: 'Korobeinichev, Oleg P., Alexander A. Paletsky, Munko B. Gonchikzhapov,
    Inna K. Shundrina, Haixiang Chen, and Naian Liu. “Influence of Triphenyl Phosphate
    on Degradation Kinetics of Ultrahigh-Molecular-Weight Polyethylene in Inert and
    Oxidative Media.” <i>Procedia Engineering</i> 62 (2013): 359–65. <a href="https://doi.org/10.1016/j.proeng.2013.08.076">https://doi.org/10.1016/j.proeng.2013.08.076</a>.'
  ieee: 'O. P. Korobeinichev, A. A. Paletsky, M. B. Gonchikzhapov, I. K. Shundrina,
    H. Chen, and N. Liu, “Influence of Triphenyl Phosphate on Degradation Kinetics
    of Ultrahigh-molecular-weight Polyethylene in Inert and Oxidative Media,” <i>Procedia
    Engineering</i>, vol. 62, pp. 359–365, 2013, doi: <a href="https://doi.org/10.1016/j.proeng.2013.08.076">10.1016/j.proeng.2013.08.076</a>.'
  mla: Korobeinichev, Oleg P., et al. “Influence of Triphenyl Phosphate on Degradation
    Kinetics of Ultrahigh-Molecular-Weight Polyethylene in Inert and Oxidative Media.”
    <i>Procedia Engineering</i>, vol. 62, Elsevier BV, 2013, pp. 359–65, doi:<a href="https://doi.org/10.1016/j.proeng.2013.08.076">10.1016/j.proeng.2013.08.076</a>.
  short: O.P. Korobeinichev, A.A. Paletsky, M.B. Gonchikzhapov, I.K. Shundrina, H.
    Chen, N. Liu, Procedia Engineering 62 (2013) 359–365.
date_created: 2022-08-02T10:18:25Z
date_updated: 2022-08-15T13:55:00Z
doi: 10.1016/j.proeng.2013.08.076
intvolume: '        62'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 359-365
publication: Procedia Engineering
publication_identifier:
  issn:
  - 1877-7058
publication_status: published
publisher: Elsevier BV
status: public
title: Influence of Triphenyl Phosphate on Degradation Kinetics of Ultrahigh-molecular-weight
  Polyethylene in Inert and Oxidative Media
type: journal_article
user_id: '94996'
volume: 62
year: '2013'
...
---
_id: '32474'
author:
- first_name: Oleg P.
  full_name: Korobeinichev, Oleg P.
  last_name: Korobeinichev
- first_name: Alexander A.
  full_name: Paletsky, Alexander A.
  last_name: Paletsky
- first_name: Munko B.
  full_name: Gonchikzhapov, Munko B.
  last_name: Gonchikzhapov
- first_name: Inna K.
  full_name: Shundrina, Inna K.
  last_name: Shundrina
- first_name: Haixiang
  full_name: Chen, Haixiang
  last_name: Chen
- first_name: Naian
  full_name: Liu, Naian
  last_name: Liu
citation:
  ama: Korobeinichev OP, Paletsky AA, Gonchikzhapov MB, Shundrina IK, Chen H, Liu
    N. Combustion Chemistry and Decomposition Kinetics of Forest Fuels. <i>Procedia
    Engineering</i>. 2013;62:182-193. doi:<a href="https://doi.org/10.1016/j.proeng.2013.08.054">10.1016/j.proeng.2013.08.054</a>
  apa: Korobeinichev, O. P., Paletsky, A. A., Gonchikzhapov, M. B., Shundrina, I.
    K., Chen, H., &#38; Liu, N. (2013). Combustion Chemistry and Decomposition Kinetics
    of Forest Fuels. <i>Procedia Engineering</i>, <i>62</i>, 182–193. <a href="https://doi.org/10.1016/j.proeng.2013.08.054">https://doi.org/10.1016/j.proeng.2013.08.054</a>
  bibtex: '@article{Korobeinichev_Paletsky_Gonchikzhapov_Shundrina_Chen_Liu_2013,
    title={Combustion Chemistry and Decomposition Kinetics of Forest Fuels}, volume={62},
    DOI={<a href="https://doi.org/10.1016/j.proeng.2013.08.054">10.1016/j.proeng.2013.08.054</a>},
    journal={Procedia Engineering}, publisher={Elsevier BV}, author={Korobeinichev,
    Oleg P. and Paletsky, Alexander A. and Gonchikzhapov, Munko B. and Shundrina,
    Inna K. and Chen, Haixiang and Liu, Naian}, year={2013}, pages={182–193} }'
  chicago: 'Korobeinichev, Oleg P., Alexander A. Paletsky, Munko B. Gonchikzhapov,
    Inna K. Shundrina, Haixiang Chen, and Naian Liu. “Combustion Chemistry and Decomposition
    Kinetics of Forest Fuels.” <i>Procedia Engineering</i> 62 (2013): 182–93. <a href="https://doi.org/10.1016/j.proeng.2013.08.054">https://doi.org/10.1016/j.proeng.2013.08.054</a>.'
  ieee: 'O. P. Korobeinichev, A. A. Paletsky, M. B. Gonchikzhapov, I. K. Shundrina,
    H. Chen, and N. Liu, “Combustion Chemistry and Decomposition Kinetics of Forest
    Fuels,” <i>Procedia Engineering</i>, vol. 62, pp. 182–193, 2013, doi: <a href="https://doi.org/10.1016/j.proeng.2013.08.054">10.1016/j.proeng.2013.08.054</a>.'
  mla: Korobeinichev, Oleg P., et al. “Combustion Chemistry and Decomposition Kinetics
    of Forest Fuels.” <i>Procedia Engineering</i>, vol. 62, Elsevier BV, 2013, pp.
    182–93, doi:<a href="https://doi.org/10.1016/j.proeng.2013.08.054">10.1016/j.proeng.2013.08.054</a>.
  short: O.P. Korobeinichev, A.A. Paletsky, M.B. Gonchikzhapov, I.K. Shundrina, H.
    Chen, N. Liu, Procedia Engineering 62 (2013) 182–193.
date_created: 2022-08-02T10:17:57Z
date_updated: 2022-08-15T13:55:04Z
doi: 10.1016/j.proeng.2013.08.054
intvolume: '        62'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 182-193
publication: Procedia Engineering
publication_identifier:
  issn:
  - 1877-7058
publication_status: published
publisher: Elsevier BV
status: public
title: Combustion Chemistry and Decomposition Kinetics of Forest Fuels
type: journal_article
user_id: '94996'
volume: 62
year: '2013'
...
---
_id: '42797'
abstract:
- lang: eng
  text: 'An efficient algorithm to compute automorphism groups and isometries of definite
    Fq[t]-lattices for odd q is presented. The algorithm requires several square root
    computations in Fq₂ but no enumeration of orbits having more than eight elements. '
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Kirschmer M. A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$.
    <i>Mathematics of Computation</i>. 2012;81(279):1619-1634. doi:<a href="https://doi.org/10.1090/s0025-5718-2011-02570-6">10.1090/s0025-5718-2011-02570-6</a>
  apa: Kirschmer, M. (2012). A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$.
    <i>Mathematics of Computation</i>, <i>81</i>(279), 1619–1634. <a href="https://doi.org/10.1090/s0025-5718-2011-02570-6">https://doi.org/10.1090/s0025-5718-2011-02570-6</a>
  bibtex: '@article{Kirschmer_2012, title={A normal form for definite quadratic forms
    over $\mathbb{F}_{q}[t]$}, volume={81}, DOI={<a href="https://doi.org/10.1090/s0025-5718-2011-02570-6">10.1090/s0025-5718-2011-02570-6</a>},
    number={279}, journal={Mathematics of Computation}, publisher={American Mathematical
    Society (AMS)}, author={Kirschmer, Markus}, year={2012}, pages={1619–1634} }'
  chicago: 'Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\mathbb{F}_{q}[t]$.”
    <i>Mathematics of Computation</i> 81, no. 279 (2012): 1619–34. <a href="https://doi.org/10.1090/s0025-5718-2011-02570-6">https://doi.org/10.1090/s0025-5718-2011-02570-6</a>.'
  ieee: 'M. Kirschmer, “A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$,”
    <i>Mathematics of Computation</i>, vol. 81, no. 279, pp. 1619–1634, 2012, doi:
    <a href="https://doi.org/10.1090/s0025-5718-2011-02570-6">10.1090/s0025-5718-2011-02570-6</a>.'
  mla: Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\mathbb{F}_{q}[t]$.”
    <i>Mathematics of Computation</i>, vol. 81, no. 279, American Mathematical Society
    (AMS), 2012, pp. 1619–34, doi:<a href="https://doi.org/10.1090/s0025-5718-2011-02570-6">10.1090/s0025-5718-2011-02570-6</a>.
  short: M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.
date_created: 2023-03-07T08:35:56Z
date_updated: 2023-04-04T09:22:22Z
department:
- _id: '102'
doi: 10.1090/s0025-5718-2011-02570-6
extern: '1'
intvolume: '        81'
issue: '279'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 1619-1634
publication: Mathematics of Computation
publication_identifier:
  issn:
  - 0025-5718
  - 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$
type: journal_article
user_id: '93826'
volume: 81
year: '2012'
...
---
_id: '45420'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: P.
  full_name: Steinmann, P.
  last_name: Steinmann
citation:
  ama: Mahnken R, Steinmann P. Parameter Identification of Constitutive Models for
    Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal of Applied
    Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>.
    2011;80(S1):161-164. doi:<a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>
  apa: Mahnken, R., &#38; Steinmann, P. (2011). Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i>, <i>80</i>(S1), 161–164. <a href="https://doi.org/10.1002/zamm.20000801341">https://doi.org/10.1002/zamm.20000801341</a>
  bibtex: '@article{Mahnken_Steinmann_2011, title={Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting}, volume={80}, DOI={<a
    href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>},
    number={S1}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf
    and Steinmann, P.}, year={2011}, pages={161–164} }'
  chicago: 'Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i> 80, no. S1 (2011): 161–64. <a href="https://doi.org/10.1002/zamm.20000801341">https://doi.org/10.1002/zamm.20000801341</a>.'
  ieee: 'R. Mahnken and P. Steinmann, “Parameter Identification of Constitutive Models
    for Fluidsaturated Porous Media within an FE-Setting,” <i>ZAMM - Journal of Applied
    Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>,
    vol. 80, no. S1, pp. 161–164, 2011, doi: <a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>.'
  mla: Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i>, vol. 80, no. S1, Wiley, 2011, pp. 161–64, doi:<a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>.
  short: R. Mahnken, P. Steinmann, ZAMM - Journal of Applied Mathematics and Mechanics
    / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 161–164.
date_created: 2023-05-31T12:09:05Z
date_updated: 2023-05-31T12:09:41Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.20000801341
intvolume: '        80'
issue: S1
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 161-164
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Parameter Identification of Constitutive Models for Fluidsaturated Porous Media
  within an FE-Setting
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '45421'
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 during
    Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics and Mechanics /
    Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2011;80(S2):467-468. doi:<a
    href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>
  apa: Döbert, C., Mahnken, R., &#38; Stein, E. (2011). Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics
    and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2),
    467–468. <a href="https://doi.org/10.1002/zamm.200008014105">https://doi.org/10.1002/zamm.200008014105</a>
  bibtex: '@article{Döbert_Mahnken_Stein_2011, title={Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests}, volume={80}, DOI={<a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>},
    number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Döbert, C.
    and Mahnken, Rolf and Stein, E.}, year={2011}, pages={467–468} }'
  chicago: 'Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics
    and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 80, no.
    S2 (2011): 467–68. <a href="https://doi.org/10.1002/zamm.200008014105">https://doi.org/10.1002/zamm.200008014105</a>.'
  ieee: 'C. Döbert, R. Mahnken, and E. Stein, “Numerical Simulation of Interface Debonding
    during Fibre Pull-Out Tests,” <i>ZAMM - Journal of Applied Mathematics and Mechanics
    / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp.
    467–468, 2011, doi: <a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>.'
  mla: Döbert, C., et al. “Numerical Simulation of Interface Debonding during Fibre
    Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp.
    467–68, doi:<a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>.
  short: C. Döbert, R. Mahnken, E. Stein, ZAMM - Journal of Applied Mathematics and
    Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 467–468.
date_created: 2023-05-31T12:10:26Z
date_updated: 2023-05-31T12:11:07Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.200008014105
intvolume: '        80'
issue: S2
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 467-468
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '45419'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Improvements for finite-element implementation of the Gurson Model.
    <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte
    Mathematik und Mechanik</i>. 2011;80(S2):481-482. doi:<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>
  apa: Mahnken, R. (2011). Improvements for finite-element implementation of the Gurson
    Model. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für
    Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2), 481–482. <a href="https://doi.org/10.1002/zamm.200008014112">https://doi.org/10.1002/zamm.200008014112</a>
  bibtex: '@article{Mahnken_2011, title={Improvements for finite-element implementation
    of the Gurson Model}, volume={80}, DOI={<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>},
    number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf},
    year={2011}, pages={481–482} }'
  chicago: 'Mahnken, Rolf. “Improvements for Finite-Element Implementation of the
    Gurson Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik</i> 80, no. S2 (2011): 481–82. <a href="https://doi.org/10.1002/zamm.200008014112">https://doi.org/10.1002/zamm.200008014112</a>.'
  ieee: 'R. Mahnken, “Improvements for finite-element implementation of the Gurson
    Model,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
    Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp. 481–482, 2011, doi:
    <a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>.'
  mla: Mahnken, Rolf. “Improvements for Finite-Element Implementation of the Gurson
    Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für
    Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp. 481–82,
    doi:<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>.
  short: R. Mahnken, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik 80 (2011) 481–482.
date_created: 2023-05-31T12:07:05Z
date_updated: 2023-05-31T12:07:53Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.200008014112
intvolume: '        80'
issue: S2
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 481-482
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Improvements for finite-element implementation of the Gurson Model
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '53184'
article_type: original
author:
- first_name: Fabian
  full_name: Januszewski, Fabian
  id: '81636'
  last_name: Januszewski
citation:
  ama: Januszewski F. Modular symbols for reductive groups and p-adic Rankin–Selberg
    convolutions over number fields. <i>Journal für die reine und angewandte Mathematik
    (Crelles Journal)</i>. 2010;2011(653):1-45. doi:<a href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>
  apa: Januszewski, F. (2010). Modular symbols for reductive groups and p-adic Rankin–Selberg
    convolutions over number fields. <i>Journal Für Die Reine Und Angewandte Mathematik
    (Crelles Journal)</i>, <i>2011</i>(653), 1–45. <a href="https://doi.org/10.1515/crelle.2011.018">https://doi.org/10.1515/crelle.2011.018</a>
  bibtex: '@article{Januszewski_2010, title={Modular symbols for reductive groups
    and p-adic Rankin–Selberg convolutions over number fields}, volume={2011}, DOI={<a
    href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>}, number={653},
    journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter
    de Gruyter GmbH}, author={Januszewski, Fabian}, year={2010}, pages={1–45} }'
  chicago: 'Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic
    Rankin–Selberg Convolutions over Number Fields.” <i>Journal Für Die Reine Und
    Angewandte Mathematik (Crelles Journal)</i> 2011, no. 653 (2010): 1–45. <a href="https://doi.org/10.1515/crelle.2011.018">https://doi.org/10.1515/crelle.2011.018</a>.'
  ieee: 'F. Januszewski, “Modular symbols for reductive groups and p-adic Rankin–Selberg
    convolutions over number fields,” <i>Journal für die reine und angewandte Mathematik
    (Crelles Journal)</i>, vol. 2011, no. 653, pp. 1–45, 2010, doi: <a href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>.'
  mla: Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg
    Convolutions over Number Fields.” <i>Journal Für Die Reine Und Angewandte Mathematik
    (Crelles Journal)</i>, vol. 2011, no. 653, Walter de Gruyter GmbH, 2010, pp. 1–45,
    doi:<a href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>.
  short: F. Januszewski, Journal Für Die Reine Und Angewandte Mathematik (Crelles
    Journal) 2011 (2010) 1–45.
date_created: 2024-04-03T16:47:27Z
date_updated: 2024-04-03T17:13:10Z
doi: 10.1515/crelle.2011.018
extern: '1'
intvolume: '      2011'
issue: '653'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1-45
publication: Journal für die reine und angewandte Mathematik (Crelles Journal)
publication_identifier:
  issn:
  - 0075-4102
  - 1435-5345
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions
  over number fields
type: journal_article
user_id: '81636'
volume: 2011
year: '2010'
...
---
_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: '39948'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean
    Counterparts. <i>Acta Applicandae Mathematicae</i>. 2006;90(1-2):179-195. doi:<a
    href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>
  apa: Rösler, M., &#38; Voit, M. (2006). SU(d)-Biinvariant Random Walks on SL(d,C)
    and their Euclidean Counterparts. <i>Acta Applicandae Mathematicae</i>, <i>90</i>(1–2),
    179–195. <a href="https://doi.org/10.1007/s10440-006-9035-4">https://doi.org/10.1007/s10440-006-9035-4</a>
  bibtex: '@article{Rösler_Voit_2006, title={SU(d)-Biinvariant Random Walks on SL(d,C)
    and their Euclidean Counterparts}, volume={90}, DOI={<a href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>},
    number={1–2}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science
    and Business Media LLC}, author={Rösler, Margit and Voit, Michael}, year={2006},
    pages={179–195} }'
  chicago: 'Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C)
    and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i> 90, no.
    1–2 (2006): 179–95. <a href="https://doi.org/10.1007/s10440-006-9035-4">https://doi.org/10.1007/s10440-006-9035-4</a>.'
  ieee: 'M. Rösler and M. Voit, “SU(d)-Biinvariant Random Walks on SL(d,C) and their
    Euclidean Counterparts,” <i>Acta Applicandae Mathematicae</i>, vol. 90, no. 1–2,
    pp. 179–195, 2006, doi: <a href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>.'
  mla: Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C)
    and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i>, vol.
    90, no. 1–2, Springer Science and Business Media LLC, 2006, pp. 179–95, doi:<a
    href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>.
  short: M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.
date_created: 2023-01-25T09:57:30Z
date_updated: 2023-01-26T17:47:14Z
department:
- _id: '555'
doi: 10.1007/s10440-006-9035-4
extern: '1'
intvolume: '        90'
issue: 1-2
keyword:
- Applied Mathematics
language:
- iso: eng
page: 179-195
publication: Acta Applicandae Mathematicae
publication_identifier:
  issn:
  - 0167-8019
  - 1572-9036
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts
type: journal_article
user_id: '37390'
volume: 90
year: '2006'
...
---
_id: '34895'
abstract:
- lang: eng
  text: 'We obtain strong information on the asymptotic behaviour of the counting
    function for nilpotent Galois extensions with bounded discriminant of arbitrary
    number fields. This extends previous investigations for the case of abelian groups.
    In particular, the result confirms a conjecture by the second author on this function
    for arbitrary groups in the nilpotent case. We further prove compatibility of
    the conjecture with taking wreath products with the cyclic group of order 2 and
    give examples in degree up to 8. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: G.
  full_name: Malle, G.
  last_name: Malle
citation:
  ama: Klüners J, Malle G. Counting nilpotent Galois extensions. <i>Journal für die
    reine und angewandte Mathematik (Crelles Journal)</i>. 2006;2004(572):1-26. doi:<a
    href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>
  apa: Klüners, J., &#38; Malle, G. (2006). Counting nilpotent Galois extensions.
    <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2004</i>(572),
    1–26. <a href="https://doi.org/10.1515/crll.2004.050">https://doi.org/10.1515/crll.2004.050</a>
  bibtex: '@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions},
    volume={2004}, DOI={<a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>},
    number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles
    Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle,
    G.}, year={2006}, pages={1–26} }'
  chicago: 'Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.”
    <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2004,
    no. 572 (2006): 1–26. <a href="https://doi.org/10.1515/crll.2004.050">https://doi.org/10.1515/crll.2004.050</a>.'
  ieee: 'J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” <i>Journal
    für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no.
    572, pp. 1–26, 2006, doi: <a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>.'
  mla: Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal
    Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no.
    572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:<a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>.
  short: J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles
    Journal) 2004 (2006) 1–26.
date_created: 2022-12-23T09:50:49Z
date_updated: 2023-03-06T09:11:16Z
department:
- _id: '102'
doi: 10.1515/crll.2004.050
external_id:
  arxiv:
  - math/0112318
intvolume: '      2004'
issue: '572'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1-26
publication: Journal für die reine und angewandte Mathematik (Crelles Journal)
publication_identifier:
  issn:
  - 0075-4102
  - 1435-5345
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Counting nilpotent Galois extensions
type: journal_article
user_id: '93826'
volume: 2004
year: '2006'
...
---
_id: '45416'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models. <i>International Journal for Numerical Methods
    in Engineering</i>. 2005;48(7):1015-1036. doi:<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>
  apa: Mahnken, R. (2005). An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models. <i>International Journal for Numerical Methods
    in Engineering</i>, <i>48</i>(7), 1015–1036. <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>
  bibtex: '@article{Mahnken_2005, title={An inverse finite-element algorithm for parameter
    identification of thermoelastic damage models}, volume={48}, DOI={<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>},
    number={7}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf}, year={2005}, pages={1015–1036} }'
  chicago: 'Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification
    of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods
    in Engineering</i> 48, no. 7 (2005): 1015–36. <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.'
  ieee: 'R. Mahnken, “An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models,” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 48, no. 7, pp. 1015–1036, 2005, doi: <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.'
  mla: Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification
    of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 48, no. 7, Wiley, 2005, pp. 1015–36, doi:<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.
  short: R. Mahnken, International Journal for Numerical Methods in Engineering 48
    (2005) 1015–1036.
date_created: 2023-05-31T12:02:23Z
date_updated: 2023-05-31T12:02:56Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4
intvolume: '        48'
issue: '7'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1015-1036
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: An inverse finite-element algorithm for parameter identification of thermoelastic
  damage models
type: journal_article
user_id: '335'
volume: 48
year: '2005'
...
---
_id: '45433'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
- first_name: D.
  full_name: Bischoff, D.
  last_name: Bischoff
citation:
  ama: Mahnken R, Stein E, Bischoff D. A stabilization procedure by line-search computation
    for first order approximation strategies in structural optimization. <i>International
    Journal for Numerical Methods in Engineering</i>. 2005;35(5):1015-1029. doi:<a
    href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>
  apa: Mahnken, R., Stein, E., &#38; Bischoff, D. (2005). A stabilization procedure
    by line-search computation for first order approximation strategies in structural
    optimization. <i>International Journal for Numerical Methods in Engineering</i>,
    <i>35</i>(5), 1015–1029. <a href="https://doi.org/10.1002/nme.1620350505">https://doi.org/10.1002/nme.1620350505</a>
  bibtex: '@article{Mahnken_Stein_Bischoff_2005, title={A stabilization procedure
    by line-search computation for first order approximation strategies in structural
    optimization}, volume={35}, DOI={<a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>},
    number={5}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf and Stein, E. and Bischoff, D.}, year={2005},
    pages={1015–1029} }'
  chicago: 'Mahnken, Rolf, E. Stein, and D. Bischoff. “A Stabilization Procedure by
    Line-Search Computation for First Order Approximation Strategies in Structural
    Optimization.” <i>International Journal for Numerical Methods in Engineering</i>
    35, no. 5 (2005): 1015–29. <a href="https://doi.org/10.1002/nme.1620350505">https://doi.org/10.1002/nme.1620350505</a>.'
  ieee: 'R. Mahnken, E. Stein, and D. Bischoff, “A stabilization procedure by line-search
    computation for first order approximation strategies in structural optimization,”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 35, no.
    5, pp. 1015–1029, 2005, doi: <a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>.'
  mla: Mahnken, Rolf, et al. “A Stabilization Procedure by Line-Search Computation
    for First Order Approximation Strategies in Structural Optimization.” <i>International
    Journal for Numerical Methods in Engineering</i>, vol. 35, no. 5, Wiley, 2005,
    pp. 1015–29, doi:<a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>.
  short: R. Mahnken, E. Stein, D. Bischoff, International Journal for Numerical Methods
    in Engineering 35 (2005) 1015–1029.
date_created: 2023-05-31T12:29:05Z
date_updated: 2023-05-31T12:29:34Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.1620350505
intvolume: '        35'
issue: '5'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1015-1029
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A stabilization procedure by line-search computation for first order approximation
  strategies in structural optimization
type: journal_article
user_id: '335'
volume: 35
year: '2005'
...
---
_id: '45435'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Erwin
  full_name: Stein, Erwin
  last_name: Stein
citation:
  ama: Mahnken R, Stein E. Adaptive time-step control in creep analysis. <i>International
    Journal for Numerical Methods in Engineering</i>. 2005;28(7):1619-1633. doi:<a
    href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>
  apa: Mahnken, R., &#38; Stein, E. (2005). Adaptive time-step control in creep analysis.
    <i>International Journal for Numerical Methods in Engineering</i>, <i>28</i>(7),
    1619–1633. <a href="https://doi.org/10.1002/nme.1620280711">https://doi.org/10.1002/nme.1620280711</a>
  bibtex: '@article{Mahnken_Stein_2005, title={Adaptive time-step control in creep
    analysis}, volume={28}, DOI={<a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>},
    number={7}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf and Stein, Erwin}, year={2005}, pages={1619–1633}
    }'
  chicago: 'Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.”
    <i>International Journal for Numerical Methods in Engineering</i> 28, no. 7 (2005):
    1619–33. <a href="https://doi.org/10.1002/nme.1620280711">https://doi.org/10.1002/nme.1620280711</a>.'
  ieee: 'R. Mahnken and E. Stein, “Adaptive time-step control in creep analysis,”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no.
    7, pp. 1619–1633, 2005, doi: <a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>.'
  mla: Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no.
    7, Wiley, 2005, pp. 1619–33, doi:<a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>.
  short: R. Mahnken, E. Stein, International Journal for Numerical Methods in Engineering
    28 (2005) 1619–1633.
date_created: 2023-05-31T12:30:12Z
date_updated: 2023-05-31T12:30:41Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.1620280711
intvolume: '        28'
issue: '7'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1619-1633
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Adaptive time-step control in creep analysis
type: journal_article
user_id: '335'
volume: 28
year: '2005'
...
---
_id: '35857'
author:
- first_name: J.
  full_name: Blömer, J.
  last_name: Blömer
citation:
  ama: Blömer J. Denesting by Bounded Degree Radicals. <i>Algorithmica</i>. 2002;28(1):2-15.
    doi:<a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>
  apa: Blömer, J. (2002). Denesting by Bounded Degree Radicals. <i>Algorithmica</i>,
    <i>28</i>(1), 2–15. <a href="https://doi.org/10.1007/s004530010028">https://doi.org/10.1007/s004530010028</a>
  bibtex: '@article{Blömer_2002, title={Denesting by Bounded Degree Radicals}, volume={28},
    DOI={<a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>},
    number={1}, journal={Algorithmica}, publisher={Springer Science and Business Media
    LLC}, author={Blömer, J.}, year={2002}, pages={2–15} }'
  chicago: 'Blömer, J. “Denesting by Bounded Degree Radicals.” <i>Algorithmica</i>
    28, no. 1 (2002): 2–15. <a href="https://doi.org/10.1007/s004530010028">https://doi.org/10.1007/s004530010028</a>.'
  ieee: 'J. Blömer, “Denesting by Bounded Degree Radicals,” <i>Algorithmica</i>, vol.
    28, no. 1, pp. 2–15, 2002, doi: <a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>.'
  mla: Blömer, J. “Denesting by Bounded Degree Radicals.” <i>Algorithmica</i>, vol.
    28, no. 1, Springer Science and Business Media LLC, 2002, pp. 2–15, doi:<a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>.
  short: J. Blömer, Algorithmica 28 (2002) 2–15.
date_created: 2023-01-10T13:44:28Z
date_updated: 2023-01-10T13:48:53Z
department:
- _id: '64'
doi: 10.1007/s004530010028
intvolume: '        28'
issue: '1'
keyword:
- Applied Mathematics
- Computer Science Applications
- General Computer Science
language:
- iso: eng
page: 2-15
publication: Algorithmica
publication_identifier:
  issn:
  - 0178-4617
  - 1432-0541
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Denesting by Bounded Degree Radicals
type: journal_article
user_id: '23'
volume: 28
year: '2002'
...
---
_id: '39959'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Marcel
  full_name: de Jeu, Marcel
  last_name: de Jeu
citation:
  ama: Rösler M, de Jeu M. Asymptotic Analysis for the Dunkl Kernel. <i>Journal of
    Approximation Theory</i>. 2002;119(1):110-126. doi:<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>
  apa: Rösler, M., &#38; de Jeu, M. (2002). Asymptotic Analysis for the Dunkl Kernel.
    <i>Journal of Approximation Theory</i>, <i>119</i>(1), 110–126. <a href="https://doi.org/10.1006/jath.2002.3722">https://doi.org/10.1006/jath.2002.3722</a>
  bibtex: '@article{Rösler_de Jeu_2002, title={Asymptotic Analysis for the Dunkl Kernel},
    volume={119}, DOI={<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>},
    number={1}, journal={Journal of Approximation Theory}, publisher={Elsevier BV},
    author={Rösler, Margit and de Jeu, Marcel}, year={2002}, pages={110–126} }'
  chicago: 'Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl
    Kernel.” <i>Journal of Approximation Theory</i> 119, no. 1 (2002): 110–26. <a
    href="https://doi.org/10.1006/jath.2002.3722">https://doi.org/10.1006/jath.2002.3722</a>.'
  ieee: 'M. Rösler and M. de Jeu, “Asymptotic Analysis for the Dunkl Kernel,” <i>Journal
    of Approximation Theory</i>, vol. 119, no. 1, pp. 110–126, 2002, doi: <a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>.'
  mla: Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.”
    <i>Journal of Approximation Theory</i>, vol. 119, no. 1, Elsevier BV, 2002, pp.
    110–26, doi:<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>.
  short: M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.
date_created: 2023-01-25T10:20:13Z
date_updated: 2023-01-26T17:44:02Z
department:
- _id: '555'
doi: 10.1006/jath.2002.3722
extern: '1'
intvolume: '       119'
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 110-126
publication: Journal of Approximation Theory
publication_identifier:
  issn:
  - 0021-9045
publication_status: published
publisher: Elsevier BV
status: public
title: Asymptotic Analysis for the Dunkl Kernel
type: journal_article
user_id: '93826'
volume: 119
year: '2002'
...
