@article{35857,
  author       = {{Blömer, J.}},
  issn         = {{0178-4617}},
  journal      = {{Algorithmica}},
  keywords     = {{Applied Mathematics, Computer Science Applications, General Computer Science}},
  number       = {{1}},
  pages        = {{2--15}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Denesting by Bounded Degree Radicals}}},
  doi          = {{10.1007/s004530010028}},
  volume       = {{28}},
  year         = {{2002}},
}

@article{39959,
  author       = {{Rösler, Margit and de Jeu, Marcel}},
  issn         = {{0021-9045}},
  journal      = {{Journal of Approximation Theory}},
  keywords     = {{Applied Mathematics, General Mathematics, Numerical Analysis, Analysis}},
  number       = {{1}},
  pages        = {{110--126}},
  publisher    = {{Elsevier BV}},
  title        = {{{Asymptotic Analysis for the Dunkl Kernel}}},
  doi          = {{10.1006/jath.2002.3722}},
  volume       = {{119}},
  year         = {{2002}},
}

@article{45423,
  author       = {{Mahnken, Rolf}},
  issn         = {{1069-8299}},
  journal      = {{Communications in Numerical Methods in Engineering}},
  keywords     = {{Applied Mathematics, Computational Theory and Mathematics, General Engineering, Modeling and Simulation, Software}},
  number       = {{10}},
  pages        = {{745--754}},
  publisher    = {{Wiley}},
  title        = {{{Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity}}},
  doi          = {{10.1002/(sici)1099-0887(199910)15:10<745::aid-cnm288>3.0.co;2-r}},
  volume       = {{15}},
  year         = {{2002}},
}

@article{45417,
  author       = {{Döbert, C. and Mahnken, Rolf and Stein, E.}},
  issn         = {{0178-7675}},
  journal      = {{Computational Mechanics}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Computational Theory and Mathematics, Mechanical Engineering, Ocean Engineering, Computational Mechanics}},
  number       = {{5}},
  pages        = {{456--467}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Numerical simulation of interface debonding with a combined damage/friction constitutive model}}},
  doi          = {{10.1007/s004660050493}},
  volume       = {{25}},
  year         = {{2002}},
}

@article{45427,
  abstract     = {{<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       = {{Mahnken, Rolf and Johansson, Magnus and Runesson, Kenneth}},
  issn         = {{0264-4401}},
  journal      = {{Engineering Computations}},
  keywords     = {{Computational Theory and Mathematics, Computer Science Applications, General Engineering, Software}},
  number       = {{7}},
  pages        = {{925--955}},
  publisher    = {{Emerald}},
  title        = {{{Parameter estimation for a viscoplastic damage model using a gradient‐based optimization algorithm}}},
  doi          = {{10.1108/02644409810236920}},
  volume       = {{15}},
  year         = {{2002}},
}

@article{45425,
  author       = {{Johansson, Magnus and Mahnken, Rolf and Runesson, Kenneth}},
  issn         = {{0029-5981}},
  journal      = {{International Journal for Numerical Methods in Engineering}},
  keywords     = {{Applied Mathematics, General Engineering, Numerical Analysis}},
  number       = {{11}},
  pages        = {{1727--1747}},
  publisher    = {{Wiley}},
  title        = {{{Efficient integration technique for generalized viscoplasticity coupled to damage}}},
  doi          = {{10.1002/(sici)1097-0207(19990420)44:11<1727::aid-nme568>3.0.co;2-p}},
  volume       = {{44}},
  year         = {{2002}},
}

@article{11778,
  abstract     = {{In this paper, it is shown that a correlation criterion is the appropriate criterion for bottom-up clustering to obtain broad phonetic class regression trees for maximum likelihood linear regression (MLLR)-based speaker adaptation. The correlation structure among speech units is estimated on the speaker-independent training data. In adaptation experiments the tree outperformed a regression tree obtained from clustering according to closeness in acoustic space and achieved results comparable with those of a manually designed broad phonetic class tree}},
  author       = {{Haeb-Umbach, Reinhold}},
  journal      = {{IEEE Transactions on Speech and Audio Processing}},
  keywords     = {{acoustic space, adaptation experiments, automatic generation, bottom-up clustering, broad phonetic class regression trees, correlation criterion, correlation methods, maximum likelihood estimation, maximum likelihood linear regression based speaker adaptation, MLLR adaptation, pattern clustering, phonetic regression class trees, speaker-independent training data, speech recognition, speech units, statistical analysis, trees (mathematics)}},
  number       = {{3}},
  pages        = {{299--302}},
  title        = {{{Automatic generation of phonetic regression class trees for MLLR adaptation}}},
  doi          = {{10.1109/89.906003}},
  volume       = {{9}},
  year         = {{2001}},
}

@article{34897,
  abstract     = {{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       = {{Klüners, Jürgen and Malle, Gunter}},
  issn         = {{1461-1570}},
  journal      = {{LMS Journal of Computation and Mathematics}},
  keywords     = {{Computational Theory and Mathematics, General Mathematics}},
  pages        = {{182--196}},
  publisher    = {{Wiley}},
  title        = {{{A Database for Field Extensions of the Rationals}}},
  doi          = {{10.1112/s1461157000000851}},
  volume       = {{4}},
  year         = {{2001}},
}

@article{34900,
  abstract     = {{We describe methods for the computation of Galois groups of univariate polynomials over the rationals which we have implemented up to degree 15. These methods are based on Stauduhar’s algorithm. All computations are done in unramified p -adic extensions. For imprimitive groups we give an improvement using subfields. In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method.}},
  author       = {{Geissler, Katharina and Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{6}},
  pages        = {{653--674}},
  publisher    = {{Elsevier BV}},
  title        = {{{Galois Group Computation for Rational Polynomials}}},
  doi          = {{10.1006/jsco.2000.0377}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{34901,
  abstract     = {{Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L / K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L / K is cyclic.}},
  author       = {{Acciaro, Vincenzo and Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{239--252}},
  publisher    = {{Elsevier BV}},
  title        = {{{Computing Local Artin Maps, and Solvability of Norm Equations}}},
  doi          = {{10.1006/jsco.2000.0361}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{34899,
  abstract     = {{We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each case compute a polynomial f ∈ ℚ [ x ] with Gal(f)  = G.}},
  author       = {{Klüners, Jürgen and Malle, Gunter}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{6}},
  pages        = {{675--716}},
  publisher    = {{Elsevier BV}},
  title        = {{{Explicit Galois Realization of Transitive Groups of Degree up to 15}}},
  doi          = {{10.1006/jsco.2000.0378}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{34898,
  abstract     = {{We compute a polynomial with Galois group SL₂(11) over ℚ. Furthermore we prove that SL₂(11) is the Galois group of a regular extension of ℚ (t).}},
  author       = {{Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{6}},
  pages        = {{733--737}},
  publisher    = {{Elsevier BV}},
  title        = {{{A Polynomial with Galois GroupSL2(11)}}},
  doi          = {{10.1006/jsco.2000.0380}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{40184,
  abstract     = {{<jats:p>This note presents an analogue of the classical Heisenberg-Weyl uncertainty principle for the Dunkl transform on ℝ<jats:sup><jats:italic>N</jats:italic></jats:sup>. Its proof is based on expansions with respect to generalised Hermite functions.</jats:p>}},
  author       = {{Rösler, Margit}},
  issn         = {{0004-9727}},
  journal      = {{Bulletin of the Australian Mathematical Society}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{353--360}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{An uncertainty principle for the Dunkl transform}}},
  doi          = {{10.1017/s0004972700033025}},
  volume       = {{59}},
  year         = {{1999}},
}

@article{40189,
  author       = {{Rösler, Margit}},
  issn         = {{0012-7094}},
  journal      = {{Duke Mathematical Journal}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{445--463}},
  publisher    = {{Duke University Press}},
  title        = {{{Positivity of Dunkl’s intertwining operator}}},
  doi          = {{10.1215/s0012-7094-99-09813-7}},
  volume       = {{98}},
  year         = {{1999}},
}

@article{40192,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>If<jats:italic>G</jats:italic>is a closed subgroup of a commutative hypergroup<jats:italic>K</jats:italic>, then the coset space<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>carries a quotient hypergroup structure. In this paper, we study related convolution structures on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>coming fromdeformations of the quotient hypergroup structure by certain functions on<jats:italic>K</jats:italic>which we call partial characters with respect to<jats:italic>G</jats:italic>. They are usually not probability-preserving, but lead to so-called signed hypergroups on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>. A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted as a signed quotient hypergroup convolution derived from the Heisenberg group. Moreover, signed hypergroups associated with the Gelfand pair (<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>, 1),<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>)) are discussed.</jats:p>}},
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0008-414X}},
  journal      = {{Canadian Journal of Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{96--116}},
  publisher    = {{Canadian Mathematical Society}},
  title        = {{{Partial Characters and Signed Quotient Hypergroups}}},
  doi          = {{10.4153/cjm-1999-006-6}},
  volume       = {{51}},
  year         = {{1999}},
}

@article{34902,
  abstract     = {{We present a new polynomial decomposition which generalizes the functional and homogeneous bivariate decomposition of irreducible monic polynomials in one variable over the rationals. With these decompositions it is possible to calculate the roots of an imprimitive polynomial by solving polynomial equations of lower degree.}},
  author       = {{Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{261--269}},
  publisher    = {{Elsevier BV}},
  title        = {{{On Polynomial Decompositions}}},
  doi          = {{10.1006/jsco.1998.0252}},
  volume       = {{27}},
  year         = {{1999}},
}

@article{40197,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{1-2}},
  pages        = {{337--351}},
  publisher    = {{Elsevier BV}},
  title        = {{{Biorthogonal polynomials associated with reflection groups and a formula of Macdonald}}},
  doi          = {{10.1016/s0377-0427(98)00168-x}},
  volume       = {{99}},
  year         = {{1998}},
}

@article{40200,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0196-8858}},
  journal      = {{Advances in Applied Mathematics}},
  keywords     = {{Applied Mathematics}},
  number       = {{4}},
  pages        = {{575--643}},
  publisher    = {{Elsevier BV}},
  title        = {{{Markov Processes Related with Dunkl Operators}}},
  doi          = {{10.1006/aama.1998.0609}},
  volume       = {{21}},
  year         = {{1998}},
}

@article{40205,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0022-247X}},
  journal      = {{Journal of Mathematical Analysis and Applications}},
  keywords     = {{Applied Mathematics, Analysis}},
  number       = {{2}},
  pages        = {{624--634}},
  publisher    = {{Elsevier BV}},
  title        = {{{An Uncertainty Principle for Ultraspherical Expansions}}},
  doi          = {{10.1006/jmaa.1997.5386}},
  volume       = {{209}},
  year         = {{1997}},
}

@article{34903,
  abstract     = {{The software packageKANT V4for computations in algebraic number fields is now available in version 4. In addition a new user interface has been released. We will outline the features of this new software package.}},
  author       = {{DABERKOW, M. and FIEKER, C. and Klüners, Jürgen and POHST, M. and ROEGNER, K. and SCHÖRNIG, M. and WILDANGER, K.}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{3-4}},
  pages        = {{267--283}},
  publisher    = {{Elsevier BV}},
  title        = {{{KANT V4}}},
  doi          = {{10.1006/jsco.1996.0126}},
  volume       = {{24}},
  year         = {{1997}},
}

