Conférences  >  Mathématiques  >  Calcul infinitésimal, équations différentielles et intégrales

Only in very rare cases, and on very specific domains, is it possible to give closed form solutions for PDE equations, and a large part of research in numerical analysis is devoted therefore to computing approximate solutions. This requires several steps: firstly, one needs to discretize the PDEs. A first focus of our proposal is to look at a very sophisticated, new type of discretization of finite volume type: the discrete duality finite volume (DDFV) method. We will also focus on domain decomposition methods where there exist many open research questions on which the community is currently focusing: (coarse spaces, heterogeneous domain decomposition methods, domain decomposition for optimal control problems, PinT methods, etc.) Our program will feature the international PinT Conference, a research school for PhD students, workshops and research in pairs and a doctoral course. Invitations are open to tentative participants at all levels of their career.

Operator Theory and particularly Spectral Theory are at the root of several branches in Mathematics and offer a wide range of challenging research problems. The purpose of this conference is to highlight some of the major theoretical advances in the fields of Operator Theory, Spectral Theory and Functional Analysis. The wide scope of the Conference ICOT should provide an excellent opportunity for sharing ideas and problems amongst specialists.

Algèbre,    Analyse

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

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

Ajman University

The ICFDA’22 is a specialized conference on fractional-order calculus and its applications. It is a generalization of the integer-order ones. The fractional-order differentiation of arbitrary orders takes into account the memory effect of most systems. The order of the derivatives may also be variable, distributed or complex. Recently, fractional-order calculus became a more accurate tool to describe systems in various fields in mathematics, biology, chemistry, medicine, mechanics, electricity, control theory, economics, and signal and image processing.

Kyoto University, Japan | The Research Institute for Mathematical Sciences (RIMS)

Mathématiques appliquées (en général),    Analyse

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

The workshop "Compensated Compactness and Applications to Materials" will bring together experts from the theory of compensated compactness with researchers in material science. Classical compensated compactness is a theory that allows to study the limit of solutions of some partial differential equations with strongly oscillating coefficients. A particular focus is on the very recent developments in the compensated compactness theory involving concentration effects and formation of singularities. These developments have enabled many new results, for instance in the theories of microstructure, shape optimization, dislocation theory, fracture, and plasticity, and they also hold much promise for future applications. To facilitate further breakthroughs, this workshop aims to balance theoretical and more applied talks to give the participants the opportunity to exchange the latest ideas, learn new methods, and start new collaborations.

Mathématiques appliquées (en général),    Physique de la matière condensée et des matériaux

Banach Center

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

This proposal focuses on new problems and new methods at the interface of harmonic analysis (taken in a very broad sense) and ergodic theory, with applications focused in number theory. A special emphasis is on equidistribution problems on arithmetic symmetric spaces, effective methods in homogeneous dynamics, periods of automorphic forms, families of L-functions over number fields and functions fields, and applications of Fourier uniqueness.

Analyse,    Théorie des nombres, arithmétique

Eurandom – Workshop Centre in the area of Stochastics (Eindhoven University of Technology)

The NASPDE workshop has been hosted approximately once a year since 2007. The aim of this three-day workshop is to gather leading researchers working on various aspects of numerical methods for stochastic PDEs and/or PDEs with uncertain input, as well as their applications in science and engineering. Topics to be covered range from the analysis and implementation of numerical schemes for PDEs with uncertainty to recent developments in sampling (Monte Carlo) strategies and Bayesian inverse problems, as well as real-world applications of differential equations with randomness.

Statistique, Théorie des jeux,    Mathématiques numériques

Association of Nepalese Mathematicians in America (ANMA), Nepal Mathematical Society (NMS), Central Department of Mathematics at Tribhuvan University and Department of Mathematics at Kathmandu University

The conference provides a forum to a diverse group of scientists in applications of mathematics to natural and health sciences, engineering, and finance. Specific areas include, but are not limited to, differential equations, mathematical biology, computational mathematics, statistics, and big data, analysis, topology, number theory, algebra, mathematics education, optimization, operations research, quantitative finance, biomedical science, biophysics, and public health. The conference aims at bringing together research scholars from a variety of disciplines that impact nonlinear analysis and applications in bio- and physical sciences from the southeast Asian countries and around the globe.

Email.: aryal@mail.usf.edu

Differential Equations, Mathematical Biology, Computational Mathematics, Statistics, Big Data, Analysis, Topology, Number Theory, Algebra, Mathematics Education, Optimization, Operations Research, Quantitative Finance, Biomedical Science, Biophysics, Public Health,

Mathématiques appliquées (en général),    Statistique, Théorie des jeux

Institute of Mathematics at the University of Granada (IMAG)

The program's primary objective is to foster new collaborations, both on existing links within the analysis of PDEs and calculus of variations communities, and towards a closer interplay with machine learning and artificial intelligence. We will foster the communication of the latest vanguard results of interest for the above fields, to find a common ground of collaboration and promote cross-pollination of the technical advancements. To this aim, the program will feature both world leading experts in nonlinear diffusion models, nonlocal many-particle systems modelling, kinetic PDEs, and machine learning modelling, together with \normalcolor some of the most promising young researchers in those fields.

ICMS - International Centre for Mathematical Sciences

This workshop aims to bring together experts on singularity formation from mathematical general relativity as well as from dispersive PDE to map out the current frontiers of the fields, stimulate the transfer of ideas, foster discussions and new collaborations, and to inspire the new generation of researchers to take up the challenges this field holds. On the side of general relativity the workshop focuses on the topics of naked singularities, singularities inside black holes, as well as cosmological singularities. On the side of dispersive PDE the workshop aims to discuss the characterisation of general singularities and blow-up dynamics.

Astronomie, astrophysique et cosmologie,    Physique mathématique

Banach Center

Mathématiques appliquées (en général),    Analyse

The Fields Institute

Differential equations, in particular evolutionary differential equations, are used to model, often with uncanny effectiveness, a vast number of natural and social phenomena. The study of dynamical behaviors of the underlying models, e.g. their stabilities, robustness, bifurcations, and complexities, has become truly essential to understand the phenomena being modeled. It is precisely because of the modeling effectiveness of evolutionary differential equations that their dynamical study is among the fastest growing and most active multidisciplinary research fields today. Not only is the existing theory of dynamics of evolutionary equations closely intertwined with many areas of mathematics, but also the concepts, methods, and paradigms, introduced in the study have become an indispensible component of a multitude of works of more applied nature, in disciplines including chemistry, physics, material science, mechanics, electrical engineering, as well as in the emerging applications of social sciences, not to mention the explosion during the last several decades of applications related to the biological and life sciences. As we push the boundaries of applicability of the existing theory, we routinely discover that new mathematical and computational tools are needed, often symbiotically. To witness, it is widely accepted that an important factor contributing to the explosive growth in studying dynamics of evolutionary differential equations has been the availability of sophisticated and powerful computational tools. Yet, huge systems, systems with multiple time scales, multi-physics models, stochastic differential equations, non-smooth evolutionary problems, still transcend our collective understanding, and exhibit inherent complexities which are requiring the development of sophisticated new modeling and numerical techniques, and whose validity will need to be validated by rigorous mathematics.

Analyse,    Simulation

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

The workshop is coorganized by: Łódź University of Technology, The South African Research Chairs Initiative in Mathematical Models and Methods in Bioengineering and Biosciences, University of Pretoria, University of Rzeszów, University of Wrocław

The workshop will focus on the theory of differential equations and their applications to natural, health and social sciences, as well as engineering. We aim to bring together participants of the internet seminar organized since 2020 by the Institute of Mathematics of the Łódź University of Technology, as well as other interested researchers, for the first face-to-face meeting since the Covid-19 pandemic. We plan to provide a platform to continue the discussions, address questions and problems that arose online, communicate the latest results in the theory of differential equations, and exchange ideas between different research centres. We hope to finalize research projects initiated at the seminars and establish long-lasting collaborations to work on new projects. We envisage significant participation of postgraduate students and emerging researchers who will benefit from plenary and invited lectures of leading scientists in the field and will be able to present their research in the form of contributed talks and poster presentations

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

We will use nonlinearity naturally arising in many equations in mathematical physics to facilitate the imaging image reconstruction. This breaks with the traditional doctrine that the presence of nonlinearity is an obstacle rather than a tool for understanding differential equations.

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

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

This workshop will bring together mathematicians with expertise spanning the theoretical, numerical, discrete and computational geometry and partial differential equations (PDEs) and computer scientists with related interests to identify and discuss some of the most promising areas for advances in the understanding and application in geometric data analysis.

Physique numérique,    Algorithmes et structures de données

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

The workshop is concerned with geometric objects arising from polynomial equations known as algebraic curves. Such curves have been studied extensively since the 19th century, but recent developments in combinatorics have led to a plethora of new techniques and solutions to major problems in the field. Bringing together experts from classical algebraic geometry and the adjacent combinatorial areas, the workshop aims to bridge the different points of views, identify key open problems in the field, and to examine how progress can be achieved via a combination of old and new tools.

Géométrie et topologie,    Théorie des graphes et combinatoire

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

This is a 5-day workshop with about 42 participants. It will focus on the study of the theoretical partial differential equations and application in fluid dynamics, emphasizing the study on the structure of solutions and their large-time behavior to Navier-Stokes equations, Euler equations, Boltzmann equations, and so on. The conference will serve as a platform to report new breakthroughs, exchange research ideas, extend academic networks, and promote diversity and inclusion in this research field. New collaborations are also expected during and after the meeting. Topnotch speakers and talks will be carefully selected to make the conference attractive to a diverse audience.

Mathématiques appliquées (en général),    Physique numérique

Banach Center

ICMS - International Centre for Mathematical Sciences

The aim of this workshop is to bring together experts from different communities to cover the investigation of diffusive systems from several viewpoints: analytically, combining methods and techniques from Partial Differential Equations (PDEs) and dynamical systems to derive and analyse mathematical models for the applied phenomena; numerically, reviewing the most recent techniques and software for the computation of bifurcation diagrams and continuation with respect to the systems’ parameters; and, last but not least, from the applied — in particular biological — viewpoint: a constant exchange of knowledge between the theoretical investigations and the experimental data is in fact crucial in order to advance the research in this area. Our speakers will illustrate the most recent advancements in these fields, and foster the creation of new research directions with a concluding description of three open research questions aimed at colleagues working in fields different from their own. This will allow researchers with different backgrounds to learn ultimate techniques, connect with experts from various areas, and collaborate with fellow participants to produce new, cutting-edge research.

Mathématiques appliquées (en général),    Analyse

Banach Center

The conference concerns the broadly understood mathematical analysis, in particular, the so-called geometric analysis (including calculus of variation and partial differential equations of geometric origin, Sobolev spaces theory on manifolds and on metric spaces, and knot theory issues related to curvature energies).

Analyse,    Géométrie et topologie

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

Analyse,    Mathématiques numériques

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences

Many physical, chemical, biomedical, and techni- cal processes can be described by means of partial differential equations or dynamical systems. In recent years, multi-physics and multi-scale prob- lems have become a particular focus of applied mathematical research. A numerical treatment of such problems is usually very time consuming and thus requires the development of efficient discret- ization schemes that are often realized on large parallel computing environments. In addition, these problems often need to be solved repeatedly for many varying parameters, introducing a curse of dimensionality when the solution is also viewed as a function of these parameters. Examples for such situations include design, control, optimiza- tion, inverse problems, uncertainty analysis and statistical sampling.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Mathématiques appliquées (en général),    Analyse

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences

Optimal transport theory is a very successful field of mathematics connecting calculus of variations, probability theory, differential geometry, partial differential equations, functional analysis, statis- tics and computer sciences. Going back to Monge around 1780, this theory has deep connections with the earlier work of Euler on Hydrodynamics around 1750. This connection has recently known a strong revival on many different sides, leading to various non trivial generalizations of the con- cept of optimal transport.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Mathématiques appliquées (en général),    Analyse

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

Many important questions in convex geometry are related to the study of sections and projections of convex bodies. For example, can convex bodies be uniquely determined by the size of their sections or projections? What are the largest and smallest sections of the cube? Do convex bodies with smaller sections have smaller volume? A common feature of all these problems is that they are solved with the help of harmonic analysis. The aim of the proposed workshop is to bring together leading experts and young researchers to discuss recent progress in applications of harmonic analysis to convex geometry.