Conférences  >  Mathématiques  >  Mathématiques numériques

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

Recursion theory measures the complexity of mathematical objects in terms of what is computable, in other words, what can be determined by a computer with no space or time limitations. We can define, for example, computable sets of natural numbers, computable (continuous) functions on the real numbers, or computably enumerable open subsets of the reals. Adding an oracle---an outside source of information---allows us to extend the reach of recursion theory beyond the computable. For example, every continuous function on the real numbers is a computable function relative to some oracle. For another example, a set of real numbers has Hausdorff dimension zero if and only if there is an oracle relative to which every real in the set can be significantly compressed. In this way, recursion theory offers a fine-grained way to analyze some of the most central notions in mathematics. This has recently led to deep applications to analysis, number theory, and set theory. The focus of this workshop is on understanding and extending these applications of recursion theory.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

Center for Research in Mathematical Engineering (CI²MA), Universidad de Concepción, Concepción, Chile

The aim of the workshop is to present recent developments in Numerical Analysis of Partial Differential Equations.

Event Secretariat;     Email.: wonapde2024@ci2ma.udec.cl

error estimation, adaptivity,  applications in engineering and life sciences, boundary element methods, computational fluid dynamics, computational methods in electromagnetism, computational methods in fluid-structure interaction, computational structural mechanics, discontinuous Galerkin methods, finite element methods, finite volume methods for conservation laws.

CIRM – Centre International de Rencontres Mathématiques

A clear emphasis will be put on theoretical and numerical methods oriented towards applications in engineering and the sciences. Experts from applied mathematics will report on potential industrial applications, prototypes, and – where possible – existing use cases.

Réseaux complexes,    Mathématiques appliquées (en général)

Schloss Dagstuhl - Leibniz-Zentrum für Informatik

In-depth understanding of both hardware and system software layers turns out to be essential. A variety of conceptual as well as technical challenges need to be addressed. Emerging compute infrastructure imposes constraints on the design of discrete algorithms. Future developments are likely to imply even more fundamental adaptations of existing and emerging algorithms. Close collaboration of developers of algorithms with their colleagues from the high-performance computer industry turns out to be crucial for the formulation of meaningful requirements on both sides. We intend to focus on sparse linear algebra and graph algorithms while reaching out to a diverse set of representatives from industry combining expertise in modern accelerators, next-generation silicon, quantum and neuromorphic computing.

Algorithmes et structures de données,    Physique numérique

Casa Matemática Oaxaca (CMO)

Trefftz methods are a class of methods for the numerical simulation of problems modeled by differential equations. As opposed to other methods such as finite elements, relying on a unique representation of solutions for all possible equations, Trefftz methods rely on a representation of the solution that is tailored for each particular problem, that is for each differential equation. Thanks to this tailored representation, the methods enjoy desirable properties: they can approximate solutions within a given accuracy using less computational resources than for instance finite element methods. In the past few years, the mathematical community has reached significant breakthroughs to address several challenges attached to the practical performance of Trefftz methods. By gathering experts on these methods, as well as scientists from both academia and industry who use them towards various applications, we have a unique opportunity to exchange about recent developments, stimulate new interactions and shape the future developments on Trefftz methods.

Simulation,    Calcul infinitésimal, équations différentielles et intégrales

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Amazingly, splines are not just of practical interest in applications, but also are interesting from a purely theoretical mathematical perspective. This workshop brings together researchers from different mathematical communities: on the applied side, those working in numerical analysis and approximation theory, and on the theoretical side, those working in GKM theory, equivariant cohomology and homological algebra. The aim is to bring theory and practice together, and to build collaborations between researchers from different areas. The advancement of knowledge often arises from integration of seemingly different fields.

Mathématiques appliquées (en général),    Calcul infinitésimal, équations différentielles et intégrales

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Society for Industrial and Applied Mathematics (SIAM)

Mathématiques appliquées (en général),    Calcul infinitésimal, équations différentielles et intégrales

Isaac Newton Institute for Mathematical Sciences

Wiener–Hopf method has been conceived around 90 years ago and since then has shaped many areas of modern analysis. Recently, the method has received a new boost following the progress in matrix factorisation theory that was intensively discussed on the INI Programme "Bringing pure and applied analysis together via the Wiener-Hopf technique, its generalisations and applications" (link https://www.newton.ac.uk/event/wht/) in 2019. During the programme, new ideas and concepts have been identified and a direction of the further method development and its impactful applications have been determined and the Wiener–Hopf type methods enables researchers to solve numerous physical, natural technological and financial problems motivated by real world applications. This follow up Workshop will consider a progress made for last five years in both the theory and applications. In theoretical development, there has been significant progress towards numerical and approximate solutions to various classes of Wiener–Hopf and Riemann–Hilbert problems.

University of Alcalá, Department of Physics and Mathematics

Created in 2016 as an international conference inheriting the tradition of the Spanish meeting on Discrete Mathematics, the Discrete Mathematics Days achieve the participation of excellent researchers from all over the world.

Coding Theory and Cryptography, Combinatorial Number Theory, Combinatorics, Discrete and Computational Geometry, Discrete Optimization, Graph Theory, Theoretical Computer Science.

Théorie des graphes et combinatoire,    Théorie des nombres, arithmétique

Hausdorff Research Institute for Mathematics (HIM)

Casa Matemática Oaxaca (CMO)

This workshop will gather experts from around the world to discuss and unearth connections between numerical methods designed for the optimal allocation of resources, the study of fluid flow, and the nascent field of modeling the evolution of the early universe.

Mathématiques appliquées (en général),    Astronomie, astrophysique et cosmologie

CIRM – Centre International de Rencontres Mathématiques

Banach Center

Institute for Advanced Study in Mathematics (IASM)

Free boundaries and moving interfaces are ubiquitous in our daily activities such as pouring red wine into a glass, jumping into a swimming pool, or watching water waves at the beach. Other processes involving interfaces are much less visible, but have great impacts on our lives. For example, one mechanism by which cancel cells move around is to change the shape of their boundaries. As another example, three major components in our blood are the red cells, the white cells, and platelets; injure of blood vessels will trigger complicated chemical reactions and physical processes that occur on the interface of these cells. It is therefore extremely important to solve key problems in this scientific field so that we can save money, energy, time, and even human lives. One major tool for sciences in this field is through mathematical modeling and numerical computations. This workshop aims to bring together experts from various disciplines to work together on the analysis, modeling, computation, and applications of a wide range of free-boundary and moving-interface problems.

Simulation,    Analyse