@article{45945, author = {{Kovács, Balázs and Power Guerra, Christian Andreas}}, issn = {{0749-159X}}, journal = {{Numerical Methods for Partial Differential Equations}}, keywords = {{Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis}}, number = {{2}}, pages = {{518--554}}, publisher = {{Wiley}}, title = {{{Maximum norm stability and error estimates for the evolving surface finite element method}}}, doi = {{10.1002/num.22212}}, volume = {{34}}, year = {{2017}}, } @article{53189, author = {{Januszewski, Fabian}}, issn = {{0025-5831}}, journal = {{Mathematische Annalen}}, keywords = {{General Mathematics}}, number = {{3-4}}, pages = {{1805--1881}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Rational structures on automorphic representations}}}, doi = {{10.1007/s00208-017-1567-6}}, volume = {{370}}, year = {{2017}}, } @article{48323, author = {{Schüler-Meyer, Alexander and Prediger, Susanne and Kuzu, Taha and Wessel, Lena and Redder, Angelika}}, issn = {{1571-0068}}, journal = {{International Journal of Science and Mathematics Education}}, keywords = {{General Mathematics, Education}}, number = {{2}}, pages = {{317--339}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding}}}, doi = {{10.1007/s10763-017-9857-8}}, volume = {{17}}, year = {{2017}}, } @article{30259, author = {{Wiens, Eugen and Homberg, Werner}}, issn = {{1877-7058}}, journal = {{Procedia Engineering}}, keywords = {{Applied Mathematics}}, pages = {{1755--1760}}, publisher = {{Elsevier BV}}, title = {{{Internal Flow-Turning – a new approach for the manufacture of tailored tubes with a constant external diameter}}}, doi = {{10.1016/j.proeng.2017.10.934}}, volume = {{207}}, year = {{2017}}, } @article{36481, abstract = {{Recent studies highlight early childhood teachers’ mathematics-related competence. Developing this competence should be a main aspect of early childhood teachers’ education. This is, however, not the case in all countries. Consequently, high-quality professional development courses are needed. Based on research results, we developed a competence-oriented continuous professional development course ("EmMa") and examined the effects of "EmMa" by asking: How does "EmMa" affect the development of early childhood teachers’ i) mathematical content knowledge, ii) mathematical pedagogical content knowledge and iii) beliefs towards mathematics in general? To answer these questions, we conducted a pre-test/post-test study including a control group with 99 in-service early childhood teachers. Results show that the course affected teachers’ mathematical pedagogical content knowledge and static orientation towards mathematics positively. From this we conclude that scaling-up "EmMa" might be a suitable approach to bridge the gap between pre-service education with nearly no mathematics and the challenges of early mathematics education.}}, author = {{Bruns, Julia and Eichen, Lars and Gasteiger, Hedwig}}, journal = {{Mathematics Teacher Education and Development (MTED)}}, keywords = {{Beliefs, Competency Based Teacher Education, Control Groups, Early Childhood Education, Faculty Development, Foreign Countries, Inservice Teacher Education, Intervention, Mathematical Aptitude, Mathematics Skills, Pedagogical Content Knowledge, Preschool Teachers, Pretests Posttests, Professional Continuing Education, Statistical Analysis, Teacher Competency Testing}}, number = {{3}}, pages = {{76–93}}, title = {{{Mathematics-related Competence of Early Childhood Teachers Visiting a Continuous Professional Development Course: An Intervention Study}}}, volume = {{19}}, year = {{2017}}, } @article{34826, author = {{Eichen, Lars and Bruns, Julia}}, issn = {{2191-9194}}, journal = {{Frühe Bildung}}, keywords = {{competency development, early childhood mathematics education, professional development course}}, number = {{2}}, pages = {{67--73}}, publisher = {{Hogrefe & Huber Publishers}}, title = {{{Interventionsstudie zur Entwicklung mathematikbezogener Einstellungen frühpädagogischer Fachpersonen}}}, doi = {{10.1026/2191-9186/a000310}}, volume = {{6}}, year = {{2017}}, } @article{34660, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{0272-4960}}, journal = {{IMA Journal of Applied Mathematics}}, keywords = {{Applied Mathematics}}, number = {{5}}, pages = {{860--876}}, publisher = {{Oxford University Press (OUP)}}, title = {{{On the weakly competitive case in a two-species chemotaxis model}}}, doi = {{10.1093/imamat/hxw036}}, volume = {{81}}, year = {{2016}}, } @article{34662, author = {{Black, Tobias}}, issn = {{0022-247X}}, journal = {{Journal of Mathematical Analysis and Applications}}, keywords = {{Applied Mathematics, Analysis}}, number = {{1}}, pages = {{436--455}}, publisher = {{Elsevier BV}}, title = {{{Boundedness in a Keller–Segel system with external signal production}}}, doi = {{10.1016/j.jmaa.2016.08.049}}, volume = {{446}}, year = {{2016}}, } @article{34659, author = {{Black, Tobias}}, issn = {{0951-7715}}, journal = {{Nonlinearity}}, keywords = {{Applied Mathematics, General Physics and Astronomy, Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{6}}, pages = {{1865--1886}}, publisher = {{IOP Publishing}}, title = {{{Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant}}}, doi = {{10.1088/0951-7715/29/6/1865}}, volume = {{29}}, year = {{2016}}, } @article{34661, author = {{Black, Tobias}}, issn = {{1468-1218}}, journal = {{Nonlinear Analysis: Real World Applications}}, keywords = {{Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance, General Engineering, General Medicine, Analysis}}, pages = {{593--609}}, publisher = {{Elsevier BV}}, title = {{{Sublinear signal production in a two-dimensional Keller–Segel–Stokes system}}}, doi = {{10.1016/j.nonrwa.2016.03.008}}, volume = {{31}}, year = {{2016}}, } @article{33260, abstract = {{In this paper we continue the study of group representations which are counterexamples to the Ize conjecture. As in previous papers we find new infinite series of finite groups leading to such counterexamples. These new series are quite different from the previous ones, for example the group orders do not form an arithmetic progression. However, as before we find Lie groups which contain all these groups. This additional structure was observed, but not used in the previous studies of this problem. Here we also investigate the related bifurcations. To a large extent, these are closely related to the presence of mentioned compact Lie group containing the finite groups. This might give a tool to study the bifurcations related to all low dimensional counterexamples of the Ize conjecture. It also gives an indication of where we can expect to find examples where the bifurcation behaviour is different from what we have seen in the known examples.}}, author = {{Lauterbach, Reiner and Schwenker, Sören}}, issn = {{1468-9367}}, journal = {{Dynamical Systems}}, keywords = {{Computer Science Applications, General Mathematics}}, number = {{1}}, pages = {{117--147}}, publisher = {{Informa UK Limited}}, title = {{{Equivariant bifurcations in four-dimensional fixed point spaces}}}, doi = {{10.1080/14689367.2016.1219696}}, volume = {{32}}, year = {{2016}}, } @article{45944, author = {{Kovács, Balázs and Power Guerra, Christian Andreas}}, issn = {{0272-4979}}, journal = {{IMA Journal of Numerical Analysis}}, keywords = {{Applied Mathematics, Computational Mathematics, General Mathematics}}, number = {{1}}, pages = {{460--494}}, publisher = {{Oxford University Press (OUP)}}, title = {{{Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces}}}, doi = {{10.1093/imanum/drw074}}, volume = {{38}}, year = {{2016}}, } @article{45936, author = {{Kovács, Balázs and Power Guerra, Christian Andreas}}, issn = {{0749-159X}}, journal = {{Numerical Methods for Partial Differential Equations}}, keywords = {{Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis}}, number = {{4}}, pages = {{1200--1231}}, publisher = {{Wiley}}, title = {{{Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces}}}, doi = {{10.1002/num.22047}}, volume = {{32}}, year = {{2016}}, } @article{45939, author = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}}, issn = {{0036-1429}}, journal = {{SIAM Journal on Numerical Analysis}}, keywords = {{Numerical Analysis, Applied Mathematics, Computational Mathematics}}, number = {{6}}, pages = {{3600--3624}}, publisher = {{Society for Industrial & Applied Mathematics (SIAM)}}, title = {{{A-Stable Time Discretizations Preserve Maximal Parabolic Regularity}}}, doi = {{10.1137/15m1040918}}, volume = {{54}}, year = {{2016}}, } @article{45937, author = {{Kovács, Balázs and Lubich, Christian}}, issn = {{0272-4979}}, journal = {{IMA Journal of Numerical Analysis}}, keywords = {{Applied Mathematics, Computational Mathematics, General Mathematics}}, number = {{1}}, pages = {{1--39}}, publisher = {{Oxford University Press (OUP)}}, title = {{{Numerical analysis of parabolic problems with dynamic boundary conditions}}}, doi = {{10.1093/imanum/drw015}}, volume = {{37}}, year = {{2016}}, } @article{53188, author = {{Januszewski, Fabian}}, issn = {{2195-4755}}, journal = {{Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens}}, keywords = {{General Mathematics}}, number = {{2}}, pages = {{453--489}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{p-adic L-functions for Rankin–Selberg convolutions over number fields}}}, doi = {{10.1007/s40316-016-0061-y}}, volume = {{40}}, year = {{2016}}, } @article{37663, author = {{Rösler, Margit and Voit, Michael}}, issn = {{0022-247X}}, journal = {{Journal of Mathematical Analysis and Applications}}, keywords = {{Applied Mathematics, Analysis}}, number = {{1}}, pages = {{701--717}}, publisher = {{Elsevier BV}}, title = {{{A multivariate version of the disk convolution}}}, doi = {{10.1016/j.jmaa.2015.10.062}}, volume = {{435}}, year = {{2016}}, } @article{40066, author = {{Bañuelos, Rodrigo and Bogdan, Krzysztof and Luks, Tomasz}}, issn = {{0024-6107}}, journal = {{Journal of the London Mathematical Society}}, keywords = {{General Mathematics}}, number = {{2}}, pages = {{462--478}}, publisher = {{Wiley}}, title = {{{Hardy–Stein identities and square functions for semigroups}}}, doi = {{10.1112/jlms/jdw042}}, volume = {{94}}, year = {{2016}}, } @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}}, }