@article{31291, abstract = {{We consider a simple model of an open partially expanding map. Its trapped set ${\mathcal{K}}$ 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 $\unicode[STIX]{x1D708}$ 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 ${\mathcal{K}}$. 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 $\unicode[STIX]{x1D708}\rightarrow \infty$. Some numerical computations with the truncated Gauss map and Bowen–Series maps illustrate these results.}}, author = {{ARNOLDI, JEAN FRANCOIS and FAURE, FRÉDÉRIC and Weich, Tobias}}, issn = {{0143-3857}}, journal = {{Ergodic Theory and Dynamical Systems}}, keywords = {{Applied Mathematics, General Mathematics}}, number = {{1}}, pages = {{1--58}}, publisher = {{Cambridge University Press (CUP)}}, title = {{{Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps}}}, doi = {{10.1017/etds.2015.34}}, volume = {{37}}, year = {{2015}}, } @article{45935, author = {{Axelsson, Owe and Karátson, János and Kovács, Balázs}}, issn = {{0036-1429}}, journal = {{SIAM Journal on Numerical Analysis}}, keywords = {{Numerical Analysis, Applied Mathematics, Computational Mathematics}}, number = {{6}}, pages = {{2957--2976}}, publisher = {{Society for Industrial & Applied Mathematics (SIAM)}}, title = {{{Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality}}}, doi = {{10.1137/130940268}}, volume = {{52}}, year = {{2014}}, } @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{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{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{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{45420, author = {{Mahnken, Rolf and Steinmann, P.}}, issn = {{0044-2267}}, journal = {{ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}}, keywords = {{Applied Mathematics, Computational Mechanics}}, number = {{S1}}, pages = {{161--164}}, publisher = {{Wiley}}, title = {{{Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting}}}, doi = {{10.1002/zamm.20000801341}}, volume = {{80}}, year = {{2011}}, } @article{45421, author = {{Döbert, C. and Mahnken, Rolf and Stein, E.}}, issn = {{0044-2267}}, journal = {{ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}}, keywords = {{Applied Mathematics, Computational Mechanics}}, number = {{S2}}, pages = {{467--468}}, publisher = {{Wiley}}, title = {{{Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests}}}, doi = {{10.1002/zamm.200008014105}}, volume = {{80}}, year = {{2011}}, } @article{45419, author = {{Mahnken, Rolf}}, issn = {{0044-2267}}, journal = {{ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}}, keywords = {{Applied Mathematics, Computational Mechanics}}, number = {{S2}}, pages = {{481--482}}, publisher = {{Wiley}}, title = {{{Improvements for finite-element implementation of the Gurson Model}}}, doi = {{10.1002/zamm.200008014112}}, volume = {{80}}, year = {{2011}}, } @article{53184, author = {{Januszewski, Fabian}}, issn = {{0075-4102}}, journal = {{Journal für die reine und angewandte Mathematik (Crelles Journal)}}, keywords = {{Applied Mathematics, General Mathematics}}, number = {{653}}, pages = {{1--45}}, publisher = {{Walter de Gruyter GmbH}}, title = {{{Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields}}}, doi = {{10.1515/crelle.2011.018}}, volume = {{2011}}, year = {{2010}}, } @article{45431, author = {{Mahnken, Rolf}}, issn = {{0178-7675}}, journal = {{Computational Mechanics}}, keywords = {{Applied Mathematics, Computational Mathematics, Computational Theory and Mathematics, Mechanical Engineering, Ocean Engineering, Computational Mechanics}}, number = {{5}}, pages = {{408--425}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems}}}, doi = {{10.1007/bf00350355}}, volume = {{15}}, year = {{2008}}, } @article{39948, author = {{Rösler, Margit and Voit, Michael}}, issn = {{0167-8019}}, journal = {{Acta Applicandae Mathematicae}}, keywords = {{Applied Mathematics}}, number = {{1-2}}, pages = {{179--195}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts}}}, doi = {{10.1007/s10440-006-9035-4}}, volume = {{90}}, year = {{2006}}, } @article{34895, abstract = {{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 = {{Klüners, Jürgen and Malle, G.}}, issn = {{0075-4102}}, journal = {{Journal für die reine und angewandte Mathematik (Crelles Journal)}}, keywords = {{Applied Mathematics, General Mathematics}}, number = {{572}}, pages = {{1--26}}, publisher = {{Walter de Gruyter GmbH}}, title = {{{Counting nilpotent Galois extensions}}}, doi = {{10.1515/crll.2004.050}}, volume = {{2004}}, year = {{2006}}, } @article{45416, author = {{Mahnken, Rolf}}, issn = {{0029-5981}}, journal = {{International Journal for Numerical Methods in Engineering}}, keywords = {{Applied Mathematics, General Engineering, Numerical Analysis}}, number = {{7}}, pages = {{1015--1036}}, publisher = {{Wiley}}, title = {{{An inverse finite-element algorithm for parameter identification of thermoelastic damage models}}}, doi = {{10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4}}, volume = {{48}}, year = {{2005}}, } @article{45433, author = {{Mahnken, Rolf and Stein, E. and Bischoff, D.}}, issn = {{0029-5981}}, journal = {{International Journal for Numerical Methods in Engineering}}, keywords = {{Applied Mathematics, General Engineering, Numerical Analysis}}, number = {{5}}, pages = {{1015--1029}}, publisher = {{Wiley}}, title = {{{A stabilization procedure by line-search computation for first order approximation strategies in structural optimization}}}, doi = {{10.1002/nme.1620350505}}, volume = {{35}}, year = {{2005}}, } @article{45435, author = {{Mahnken, Rolf and Stein, Erwin}}, issn = {{0029-5981}}, journal = {{International Journal for Numerical Methods in Engineering}}, keywords = {{Applied Mathematics, General Engineering, Numerical Analysis}}, number = {{7}}, pages = {{1619--1633}}, publisher = {{Wiley}}, title = {{{Adaptive time-step control in creep analysis}}}, doi = {{10.1002/nme.1620280711}}, volume = {{28}}, year = {{2005}}, } @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}}, }