@article{45934,
  author       = {{Kovács, Balázs}},
  issn         = {{0862-7940}},
  journal      = {{Applications of Mathematics}},
  keywords     = {{Applied Mathematics}},
  number       = {{5}},
  pages        = {{489--508}},
  publisher    = {{Institute of Mathematics, Czech Academy of Sciences}},
  title        = {{{On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems}}},
  doi          = {{10.1007/s10492-014-0068-0}},
  volume       = {{59}},
  year         = {{2014}},
}

@article{53185,
  author       = {{Januszewski, Fabian}},
  issn         = {{1073-7928}},
  journal      = {{International Mathematics Research Notices}},
  keywords     = {{General Mathematics}},
  number       = {{17}},
  pages        = {{7884--7949}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{On p-adic L-functions for GL(n) × GL (n-1) over totally real fields}}},
  doi          = {{10.1093/imrn/rnu181}},
  volume       = {{2015}},
  year         = {{2014}},
}

@article{31296,
  author       = {{Barkhofen, Sonja and Faure, F and Weich, Tobias}},
  issn         = {{0951-7715}},
  journal      = {{Nonlinearity}},
  keywords     = {{Applied Mathematics, General Physics and Astronomy, Mathematical Physics, Statistical and Nonlinear Physics}},
  number       = {{8}},
  pages        = {{1829--1858}},
  publisher    = {{IOP Publishing}},
  title        = {{{Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}}},
  doi          = {{10.1088/0951-7715/27/8/1829}},
  volume       = {{27}},
  year         = {{2014}},
}

@article{37667,
  author       = {{Rösler, Margit and Remling, Heiko}},
  issn         = {{0021-9045}},
  journal      = {{Journal of Approximation Theory}},
  keywords     = {{Applied Mathematics, General Mathematics, Numerical Analysis, Analysis}},
  pages        = {{30--48}},
  publisher    = {{Elsevier BV}},
  title        = {{{Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians}}},
  doi          = {{10.1016/j.jat.2014.07.005}},
  volume       = {{197}},
  year         = {{2014}},
}

@article{34845,
  abstract     = {{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       = {{Fieker, Claus and Klüners, Jürgen}},
  issn         = {{1461-1570}},
  journal      = {{LMS Journal of Computation and Mathematics}},
  keywords     = {{Computational Theory and Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{141--158}},
  publisher    = {{Wiley}},
  title        = {{{Computation of Galois groups of rational polynomials}}},
  doi          = {{10.1112/s1461157013000302}},
  volume       = {{17}},
  year         = {{2014}},
}

@article{42801,
  abstract     = {{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       = {{Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}},
  issn         = {{0017-0895}},
  journal      = {{Glasgow Mathematical Journal}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{173--180}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{Computing with subgroups of the modular group }}},
  doi          = {{10.1017/s0017089514000202}},
  volume       = {{57}},
  year         = {{2014}},
}

@article{42794,
  abstract     = {{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       = {{Eick, B. and Kirschmer, Markus and Leedham-Green, C.}},
  issn         = {{1461-1570}},
  journal      = {{LMS Journal of Computation and Mathematics}},
  keywords     = {{Computational Theory and Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{345--359}},
  publisher    = {{Wiley}},
  title        = {{{The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)}}},
  doi          = {{10.1112/s1461157014000047}},
  volume       = {{17}},
  year         = {{2014}},
}

@article{46266,
  author       = {{Alizadeh, Bijan and Behnam, Payman and Sadeghi-Kohan, Somayeh}},
  issn         = {{0018-9340}},
  journal      = {{IEEE Transactions on Computers}},
  keywords     = {{Computational Theory and Mathematics, Hardware and Architecture, Theoretical Computer Science, Software}},
  pages        = {{1--1}},
  publisher    = {{Institute of Electrical and Electronics Engineers (IEEE)}},
  title        = {{{A Scalable Formal Debugging Approach with Auto-Correction Capability based on Static Slicing and Dynamic Ranking for RTL Datapath Designs}}},
  doi          = {{10.1109/tc.2014.2329687}},
  year         = {{2014}},
}

@article{32475,
  author       = {{Korobeinichev, Oleg P. and Paletsky, Alexander A. and Gonchikzhapov, Munko B. and Shundrina, Inna K. and Chen, Haixiang and Liu, Naian}},
  issn         = {{1877-7058}},
  journal      = {{Procedia Engineering}},
  keywords     = {{Applied Mathematics}},
  pages        = {{359--365}},
  publisher    = {{Elsevier BV}},
  title        = {{{Influence of Triphenyl Phosphate on Degradation Kinetics of Ultrahigh-molecular-weight Polyethylene in Inert and Oxidative Media}}},
  doi          = {{10.1016/j.proeng.2013.08.076}},
  volume       = {{62}},
  year         = {{2013}},
}

@article{32474,
  author       = {{Korobeinichev, Oleg P. and Paletsky, Alexander A. and Gonchikzhapov, Munko B. and Shundrina, Inna K. and Chen, Haixiang and Liu, Naian}},
  issn         = {{1877-7058}},
  journal      = {{Procedia Engineering}},
  keywords     = {{Applied Mathematics}},
  pages        = {{182--193}},
  publisher    = {{Elsevier BV}},
  title        = {{{Combustion Chemistry and Decomposition Kinetics of Forest Fuels}}},
  doi          = {{10.1016/j.proeng.2013.08.054}},
  volume       = {{62}},
  year         = {{2013}},
}

@article{53419,
  author       = {{Gundlach, Fabian}},
  issn         = {{0024-6107}},
  journal      = {{Journal of the London Mathematical Society}},
  keywords     = {{General Mathematics}},
  number       = {{2}},
  pages        = {{599--618}},
  publisher    = {{Wiley}},
  title        = {{{Integral Brauer-Manin obstructions for sums of two squares and a power}}},
  doi          = {{10.1112/jlms/jdt042}},
  volume       = {{88}},
  year         = {{2013}},
}

@article{48332,
  author       = {{Prediger, Susanne and Wessel, Lena}},
  issn         = {{1033-2170}},
  journal      = {{Mathematics Education Research Journal}},
  keywords     = {{Education, General Mathematics}},
  number       = {{3}},
  pages        = {{435--456}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Fostering German-language learners’ constructions of meanings for fractions—design and effects of a language- and mathematics-integrated intervention}}},
  doi          = {{10.1007/s13394-013-0079-2}},
  volume       = {{25}},
  year         = {{2013}},
}

@article{39720,
  abstract     = {{<jats:p>
            We examine for the first time how chemically and thermally stable gold nanoparticles (NPs), prepared by a silane conjugation approach, affect both the thermal and the electro-optical properties of a nematic liquid crystal (LC), when doped at concentrations ranging from 0.25 to 7.5 wt%. We find that the octadecylsilane-conjugated gold NPs stabilize both the enantiotropic nematic and the monotropic smectic-A phases of the LC host with a maximum stabilization of 2
            <jats:sup>°</jats:sup>
            C for the nematic and 3.5
            <jats:sup>°</jats:sup>
            C for the smectic-A phases for the mixture containing 1 wt% of the silanized particles. The same mixture shows the lowest values for the Fréedericksz transition threshold voltage and the highest value for the dielectric anisotropy. Generally, all NP-containing mixtures, except mixtures with NP concentrations exceeding 5 wt%, reduce the threshold voltage, increase the dielectric anisotropy and reduce both rise and decay time; the latter particularly at temperatures at least 10
            <jats:sup>°</jats:sup>
            C below the isotropic–nematic phase transition on cooling.
          </jats:p>}},
  author       = {{Mirzaei, Javad and Urbanski, Martin and Kitzerow, Heinz-Siegfried and Hegmann, Torsten}},
  issn         = {{1364-503X}},
  journal      = {{Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}},
  keywords     = {{General Physics and Astronomy, General Engineering, General Mathematics}},
  number       = {{1988}},
  publisher    = {{The Royal Society}},
  title        = {{{Hydrophobic gold nanoparticles via silane conjugation: chemically and thermally robust nanoparticles as dopants for nematic liquid crystals}}},
  doi          = {{10.1098/rsta.2012.0256}},
  volume       = {{371}},
  year         = {{2013}},
}

@article{39033,
  author       = {{Rohde, Peter P. and Schreiber, Andreas and Štefaňák, Martin and Jex, Igor and Gilchrist, Alexei and Silberhorn, Christine}},
  issn         = {{1546-1955}},
  journal      = {{Journal of Computational and Theoretical Nanoscience}},
  keywords     = {{Electrical and Electronic Engineering, Computational Mathematics, Condensed Matter Physics, General Materials Science, General Chemistry}},
  number       = {{7}},
  pages        = {{1644--1652}},
  publisher    = {{American Scientific Publishers}},
  title        = {{{Increasing the Dimensionality of Quantum Walks Using Multiple Walkers}}},
  doi          = {{10.1166/jctn.2013.3104}},
  volume       = {{10}},
  year         = {{2013}},
}

@article{42796,
  abstract     = {{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.

We 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       = {{Lorch, David and Kirschmer, Markus}},
  issn         = {{1461-1570}},
  journal      = {{LMS Journal of Computation and Mathematics}},
  keywords     = {{Computational Theory and Mathematics, General Mathematics}},
  pages        = {{172--186}},
  publisher    = {{Wiley}},
  title        = {{{Single-class genera of positive integral lattices}}},
  doi          = {{10.1112/s1461157013000107}},
  volume       = {{16}},
  year         = {{2013}},
}

@article{45933,
  author       = {{Karátson, J. and Kovács, Balázs}},
  issn         = {{0898-1221}},
  journal      = {{Computers &amp; Mathematics with Applications}},
  keywords     = {{Computational Mathematics, Computational Theory and Mathematics, Modeling and Simulation}},
  number       = {{3}},
  pages        = {{449--459}},
  publisher    = {{Elsevier BV}},
  title        = {{{Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation}}},
  doi          = {{10.1016/j.camwa.2012.04.021}},
  volume       = {{65}},
  year         = {{2012}},
}

@article{42797,
  abstract     = {{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       = {{Kirschmer, Markus}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{279}},
  pages        = {{1619--1634}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$}}},
  doi          = {{10.1090/s0025-5718-2011-02570-6}},
  volume       = {{81}},
  year         = {{2012}},
}

@article{45932,
  author       = {{Kovács, Balázs}},
  issn         = {{1895-1074}},
  journal      = {{Central European Journal of Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{217--230}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{A comparison of some efficient numerical methods for a nonlinear elliptic problem}}},
  doi          = {{10.2478/s11533-011-0071-6}},
  volume       = {{10}},
  year         = {{2011}},
}

@article{39911,
  author       = {{Rösler, Margit and Remling, H.}},
  issn         = {{1073-7928}},
  journal      = {{International Mathematics Research Notices}},
  keywords     = {{General Mathematics}},
  number       = {{18}},
  pages        = {{4200–4225}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform}}},
  doi          = {{10.1093/imrn/rnq239}},
  year         = {{2011}},
}

@article{39921,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0025-584X}},
  journal      = {{Mathematische Nachrichten}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{87--104}},
  publisher    = {{Wiley}},
  title        = {{{Limit theorems for radial random walks on p × q-matrices as p tends to infinity}}},
  doi          = {{10.1002/mana.200710235}},
  volume       = {{284}},
  year         = {{2011}},
}