173 results
Search Results
Now showing 1 - 10 of 173
- ItemAdvanced Computational Engineering(Zürich : EMS Publ. House, 2012) Carstensen, Carsten; Schröder, Jörg; Wriggers, PeterThe finite element method is the established simulation tool for the numerical solution of partial differential equations in many engineering problems with many mathematical developments such as mixed finite element methods (FEMs) and other nonstandard FEMs like least-squares, nonconforming, and discontinuous Galerkin (dG) FEMs. Various aspects on this plus related topics ranging from order-reduction methods to isogeometric analysis has been discussed amongst the pariticpants form mathematics and engineering for a large range of applications.
- ItemActions and Invariants of Residually Finite Groups: Asymptotic Methods(Zürich : EMS Publ. House, 2010) Gaboriau, Damien; Grunewald, FritzThe workshop brought together experts in finite group theory, L2-cohomology, measured group theory, the theory of lattices in Lie groups, probability and topology. The common object of interest was residually finite groups, that each field investigates from a different angle.
- ItemMini-Workshop: Shearlets(Zürich : EMS Publ. House, 2010) Labate, DemetrioOver the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means for encoding isotropic phenomena. Directional multiscale systems, particularly shearlets, are now having the same dramatic impact on the encoding of multivariate signals. Since its introduction about five years ago, the theory of shearlets has rapidly developed and gained wide recognition as the superior way of achieving a truly unified treatment in both the continuum and digital setting. By now, shearlet analysis has reached maturity as a research field, with deep mathematical results, efficient numerical methods, and a variety of high-impact applications. The main goal of the Mini-Workshop Shearlets was to gather the world’s experts in this field in order to foster closer interaction, attack challenging open problems, and identify future research directions.
- ItemMini-Workshop: Valuations and Integral Geometry(Zürich : EMS Publ. House, 2010) Bernig, Andreas; Schuster, FranzAs a generalization of the notion of measure, valuations have long played a central role in the integral geometry of convex sets. In recent years there has been a series of striking developments. Several examples were presented at this meeting, e.g. the work of Bernig and Fu on the integral geometry of groups acting transitively on the unit sphere, that of Hug and Schneider on kinematic and Crofton formulas for tensor valued valuations and a series of results by Ludwig and Reitzner on classifications of affine invariant notions of surface areas and of convex body valued valuations.
- ItemMini-Workshop: Endomorphisms, Semigroups and C*-Algebras of Rings(Zürich : EMS Publ. House, 2012) Szymanski, Wojciech; Zacharias, JoachimThe main aim of the workshop was to explore recent progress in the study of endomorphisms of $C*$-algebras, semigroup crossed products, graph algebras, ring $C*$-algebras, purely infinite $C*$-algebras and related algebraic constructions, such as dilations or Leavitt path algebras, by bringing together experts from several different fields.
- ItemMini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties(Zürich : EMS Publ. House, 2012) Suciu, Alexander I.The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and geometric group theory.
- ItemMini-Workshop: Generalizations of Symmetric Spaces(Zürich : EMS Publ. House, 2012) Helminck, AloysiusThis workshop brought together experts from the areas of algebraic Lie theory, invariant theory, Kac–Moody theory and the theories of Tits buildings and of symmetric spaces. The main focus was on topics related to symmetric spaces in order to stimulate progress in current research projects or trigger new collaboration via comparison, analogy, transfer, generalization, and unification of methods. Specific topics that were covered include Kac–Moody symmetric spaces, double coset decompositions of (groups of rational points of) algebraic groups and Kac–Moody groups, and symmetric/Gelfand pairs in Lie algebras.
- ItemMini-Workshop: Combinatorics on Words(Zürich : EMS Publ. House, 2010) Karhumäki, Juhani; Nowotka, Dirk; Shallit, JeffreyThe area of combinatorics on words is concerned with properties of sequences of symbols. It is characteristic to the field that questions arise from various mathematical problems, and hence, many fundamental results on words have been established in different areas. Over the last two decades the theory has developed into a quickly growing topic of its own. This work-shop was dedicated to reflect on the current status of the field, discuss the impact of recent results, and provide new research challenges. This is a report on the meeting and presentation of extended abstracts of the lectures.
- ItemMini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications(Zürich : EMS Publ. House, 2012) Leugering, Günter; Sokolowski, JanThe aim of the workshop was to study geometrical objects and their sensitivities in applications based on partial differential equations or differential variational inequalities. Focus topics comprised analytical investigations, numerical developments, issues in applications as well as new and future directions. Particular emphasis was put on: (i) combined shape and topological sensitivity; (ii) extended topological expansions and their numerical realization; (iii) level set based shape and topology optimization.
- ItemMini-Workshop: Efficient and Robust Approximation of the Helmholtz Equation(Zürich : EMS Publ. House, 2012) Monk, Peter; Wieners, ChristianThe accurate and efficient treatment of wave propogation phenomena is still a challenging problem. A prototypical equation is the Helmholtz equation at high wavenumbers. For this equation, Babuška & Sauter showed in 2000 in their seminal SIAM Review paper that standard discretizations must fail in the sense that the ratio of true error and best approximation error has to grow with the frequency. This has spurred the development of alternative, non-standard discretization techniques. This workshop focused on evaluating and comparing these different approaches also with a view to their applicability to more general wave propagation problems.