Conférences  >  Mathématiques  >  Calcul infinitésimal, équations différentielles et intégrales

Okinawa Institute of Science and Technology Graduate University (OIST)

The purpose of this workshop is to present recent progress and new trends in PDEs from geometric perspectives. It aims to bring together the world’s leading experts and provide an international forum for researchers who are interested in this field. We plan to discuss various topics on PDEs with emphasis on geometric aspects including convexity of solutions, shape analysis, asymptotic behavior, eigenvalue problems, overdetermined problems, geometric functional inequalities, etc. With an interdisciplinary scope, this workshop also pays attention to numerous applications of recent PDE results to other related areas.

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.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Stochastic partial differential equations arise naturally in several models of random phoenomena, in such fields as biology, physics and engineering. In particular, while deterministic models represent an efficient tool to describe time-evolution of real-world systems, they fail in rendering the presence of possible microscopic uncertainty of the model. Such randomness components may be related to several factors and are usually tracked through the introduction of a stochastic source of randomness in the equations involved. One of the most challenging goal of the mathematics of stochastic partial differential equations is the understanding of quantitative and qualitative properties of solutions and their dependence on the coefficients. The aim of the workshop is to bring together leading experts, as well as a number of talented young researchers and to share fresh information on new results and future perspectives. The stay at the Institute will promote informal interaction progress in collaborations.

Stefan Banach Mathematical Center

As in the previous edition of the conference, the planned mathematical meeting Inspirations in Real Analysis II is addressed especially to people mostly interested in real analysis approach to dynamical systems, topology, set theory, and also other topics which are close to the ones just mentioned. These are areas of mathematics with close interplays but, on the other hand, conferences usually separate them from each other. We believe that this conference will continue to develop research trends not only in real analysis, but also in set theory, topology and dynamical systems.

Centre de recherches mathématiques (CRM)

Institute for Computational and Experimental Research in Mathematics (ICERM)

This workshop focuses on the modeling, analysis, approximation, and applications of nonlocal equations, which have raised new challenges to mathematical modeling, numerical analysis, and their computational implementation. Recent applications include, but are not limited to: heat and mass diffusion, mechanics, pattern formation, image processing, self-organized dynamics, and population dispersal. Invited speakers and participants will bring expertise from a wide range of related fields, including mathematical and numerical analysis of nonlocal and fractional equations, numerical methods and discretization schemes, multiscale modeling, adaptivity, machine learning, software implementation, peridynamics modeling of material failure and damage, nonlocal and fractional modeling of anomalous heat and mass diffusion, and several engineering and scientific applications in which nonlocal modeling is useful.

Email.: info@icerm.brown.edu

Simulation,    Mathématiques appliquées (en général)

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

Cours et évènements pour étudiants en mathématiques,    Mécanique quantique et technologie quantique

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

Analyse,    Gestion des connaissances, Big Data Computing

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,    Mathématiques numériques

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),    Mathématiques numériques

Hausdorff Research Institute for Mathematics (HIM)

CIRM – Centre International de Rencontres Mathématiques

Karlstads universitet

Karlstad is proud to organize Equadiff 2024 (June 10-June 14, 2024) at its university campus. The Equadiff conferences are a series of international meetings devoted to the field of differential equations in the broadest sense. Spread all over Europe, recent locations include Brno (2022), Leiden (2019), Bratislava (2017), Lyon (2015), Prague (2013), Loughborough (2011), Brno (2009), Vienna (2007), Bratislava (2005), Hasselt (2003).

CIRM – Centre International de Rencontres Mathématiques

Stefan Banach Mathematical Center

The Forum of Partial Differential Equations is an international meeting of various Polish and foreign mathematicians. The first Forum took place 25 years ago, and current 13th edition is continuing this longstanding tradition. The main objective of the Forum is to gather young and experienced specialists to present their research, exchange ideas, and initiate new routes of collaboration. The content of the conference spans through various branches of partial differential equations both pure and applied.

Society for Industrial and Applied Mathematics (SIAM)

Mathématiques appliquées (en général),    Mathématiques numériques

Simulation,    Physique numérique

Hausdorff Research Institute for Mathematics (HIM)

Because of the ubiquity of Fourier analysis, oscillatory integrals are present in many techniques in both harmonic analysis and analytic number theory. Current state-of-the-art methods in both fields are pushing beyond classical methods because of increased importance of understanding the uniformity and stability of the estimates. In addition, researchers are uncovering unifying ideas that span the (traditionally somewhat separated areas) of oscillatory integrals in the setting of analysis, and character sums in number theory. Recent work on estimating oscillatory integrals have even applied model theory, from logic. This summer school will give participants an introduction on the classical methods for estimating oscillatory integrals and explain current cutting-edge developments. Throughout, the lectures will view these problems through a lens of understanding the uniformity and stability of the estimates.

Analyse,    Cours et évènements pour étudiants en mathématiques

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

Optimisation, recherche opérationnelle,    Systèmes complexes et chaos

Banach Center

Cours et évènements pour étudiants en mathématiques,    Analyse

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

Institute for Advanced Study in Mathematics (IASM)

There have been vast breakthroughs in the area of PDEs with singular randomness in the past a few years, notably parabolic PDEs with singular random noise, and (deterministic) dispersive PDEs with singular random initial data. A common feature of these two types of problems is that the randomness present is too singular for nonlinear operations in the equation to be well-defined classically, but on the other hand magical cancellations from these randomness also allow treatment of these equations with the help of probabilistic methods. Recent research in these two areas also brings potential interaction with the field of inverse problems from PDEs. This workshop will provide opportunity for senior and young researchers from the above areas to meet, discuss, and inspire each other. We aim to foster collaborations between different communities and inspire new research ideas.

Centro de Ciencias de Benasque Pedro Pascual

The main purpose of this Workshop-Summer School is to build an opportunity to share recent results, ideas and projects related to the theory of Partial Differential Equations (PDE), with particular emphasis on issues related with its numerical approximation, the optimal design and control. This new edition will pay special attention to the interactions with Data Sciences and Machine Learning.

Mathématiques numériques,    Cours et évènements pour étudiants en mathématiques

Stefan Banach Mathematical Center

Casa Matemática Oaxaca (CMO)

Our society faces various grand challenges that it urgently needs to address over the coming years, such as mitigating climate change, combating environmental damage, and providing effective, affordable healthcare for everyone. Data science and Artificial Intelligence are expected to play a key role in successfully tackling many of these challenges. While recent progress in AI was driven mostly by empirical developments, we are entering now a new phase in which questions of trustworthiness, scalability, fairness, privacy, reproducibility, and explainability emerge as key factors. Fundamentally new ideas and approaches are needed to address these open problems, which will require a close collaboration between mathematicians, statisticians, computer scientists, and engineers. This workshop features an interdisciplinary group of exceptional scientists from across the world to present recent developments, foster new interactions, and create novel ideas for the solution of the aforementioned data science problems.

Reconnaissance de formes et traitement d'image, vision par ordinateur,    Calcul scientifique et science des données

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

Cours et évènements pour étudiants en mathématiques,    Calcul scientifique et science des données