Conferences  >  Mathematics  >  Calculus, Differential Equations and Integration

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

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

Analysis,    Numerical Analysis and Computational Mathematics

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

A universal source of difficulty in the numerical solution of differential equations is stiffness, which may stem from multi-scale dynamics and means that straightforward explicit discretizations are very inefficient. Consequently, choosing how to deal with stiffness (usually through the selection of the time discretization method) is often the most impactful decision made while solving these problems; it can be the difference between complete intractability and rapid solution.

The subject of nonlinear analysis is of interest in its own right, and it also serves to lay the foundations for different fields of pure and applied mathematics. Researchers across the world are actively involved in analysing and developing different theories of mathematics which are applicable to real-world problems. Through this conference, the recent progress and advances in the different fields of mathematical analysis will be shared. We try to bring fruitful research directions and collaborations in this field.

Analysis,    Numerical Analysis and Computational Mathematics

Simons Laufer Mathematical Sciences Institute (SLMath)

The Connections workshop will bring together leading experts working at the intersection of kinetic theory and stochastic partial differential equations (SPDEs). Kinetic theory is a body of theory for non-equilibrium statistical mechanics. The phase-space formulation provides the flexibility of characterizing dynamics emerging from a wide range of applications, ranging from rarified gas, to plasma, to photons, to bacteria. Complementing this, SPDEs provide powerful tools for modeling systems influenced by random fluctuations and noise, essential for capturing the inherent uncertainties in complex processes. This workshop will delve into how these cutting-edge mathematical techniques can be integrated to analyze and predict the behavior of systems ranging from fluid dynamics to financial models.

Applied Mathematics (in general),    Mathematical Physics

Simons Laufer Mathematical Sciences Institute (SLMath)

The goal of the workshop is to introduce non-experts to two active research areas: kinetic theory and stochastic partial differential equations. Kinetic theory studies the properties of interacting particle systems modeling various processes in non-equilibrium statistical mechanics. Stochastic partial differential equations describe dynamics subjected to random noises. The methods from the two areas complement each other in studies of the phenomena arising in physics, economics, life sciences, etc.

Applied Mathematics (in general),    Mathematical Physics

Bulgarian Academy of Sciences

Mathematical Physics; Mathematical Finance; Mathematical Biology; Fractional Calculus; Computer Science; Artificial Intelligence; Neural Networks; Numerical Methods.

Applied Mathematics (in general),    Analysis

CIRM – Centre International de Rencontres Mathématiques

The abstract foundation of the book concerning functional analysis, special issues on Sobolev type function scales, and elliptic and parabolic regularity in case of non-smooth data, is already solid. However, the culminating last part of the book is still under discussion and editing. There, it is intended, using the theory established before, to give a condensed and unified treatment of wellposedness for several real-world problems, namely the thermistor problem, the Keller-Segel chemotaxis model, and the macroscopic semiconductor equations (Van Roosbroeck system) in case of Avalanche generation, all for the case of non-smooth spatial domains. These problems were open for decades and solved only recently by the authors and collaborators in journal articles.

Analysis,    Applied Mathematics (in general)

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

Society for Industrial and Applied Mathematics (SIAM)

Simons Laufer Mathematical Sciences Institute (SLMath)

The workshop aims to bring together researchers working on different facets of stochastic PDEs. The field of stochastic PDEs has seen many new techniques recently appear to tackle different problems, including renormalization, large scale and long-time behaviours, stochastic fluid dynamics, and homogenization. The goal of the workshop is to facilitate discussions and allow different communities to engage with one another one.

stochastic partial differential equations, regularity structures, paracontrolled calculus, nonlinear dispersive equations, Gibbs measures, homogenization, stochastic fluid dynamics, quantum field theory

University of Batna 2, Faculty of Mathematics and Computer Science

Control and Stabilization of PDEs, Operator Theory and Applications, Stochastic Analysis and Applications, Fractional Calculus and Its Applications, Integral and Integro-differential Equations, Differential Equations and their Applications, Numerical Methods, Algorithms and Approximation Theory, Mathematical Modeling in Engineering and Life Sciences, Probability Theory and Mathematical Statistics, Differential Geometry and its Applications, Dynamical Systems and its Application, Optimization and Operations Research, Fixed Point Theory and Applications, Inverse and imaging problems, Algebra and Number Theory, Cryptography and Security, Fuzzy Sets and Systems, Artificial Intelligence

Applied Mathematics (in general),    Numerical Analysis and Computational Mathematics

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

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

Mathematically, the characterization of localization and delocalization is a rich and delicate problem. Many disciplines, including probability, the analysis of partial differential equations, and mathematical physics, offer tools to tackle localization questions. This workshop will convene researchers from across these fields to share new techniques, explore common questions, and initiate novel lines of research. Moreover, the workshop is designed to nurture a community of early-career researchers who are comfortable communicating and collaborating across disciplines.

Applied Mathematics (in general),    Mathematical Physics

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

The study of geometric properties of convex bodies based on information about sections or projections of these bodies belongs to the area of geometric tomography and has important applications to many areas of mathematics and science, in general. In recent years, there has been a significant increase in the interaction between harmonic analysis and convex geometry, leading to solutions for several longstanding open problems, the discovery of new phenomena, and many new intriguing open questions. The goal of this workshop is to bring together young and established researchers to discuss recent developments and advance applications of harmonic analysis to convex geometry and geometric tomography.

Analysis,    Geometry and Topology

Association of Nepalese Mathematicians in America, Nepal Mathematical Society, and Central Department of Mathematics at Tribhuvan University

The conference provides a platform for a diverse group of scientists applying mathematics to natural and health sciences, engineering, and finance. Specific areas covered include, but are not limited to, differential equations, computational mathematics, mathematical biology, statistics, data science and analytics, mathematics education, analysis, topology, geometry, algebra, number theory, optimization, operations research, quantitative finance, biomedical science, biophysics, and public health. The emphasis will be on bringing together mathematicians and scientists from all over the world for discussing and disseminating current research trends so as to provide opportunities for participants particularly from Southeast and East Asian countries for initiating research collaborations and building professional network.The conference features six plenary lectures delivered by renowned scientists and educators, special lectures presented by experts in diverse research topics, parallel sessions on invited and contributed talks, and poster presentations.

Email: khana66a@erau.edu

Differential Equations and Nonlinear Analysis, Mathematical Biology, Algebra, Geometry, Topology, Probability, Statistics, Data Science, Mathematics Education, Numerical Analysis, Scientific Computation, and Optimization

Applied Mathematics (in general),    Numerical Analysis and Computational Mathematics

Hyung Ju Hwang (POSTECH), Chanwoo Kim (UW-Madison), Donghyun Lee (POSTECH), Jin Woo Jang (POSTECH)

In honor of Professor Yan Guo's 60th birthday

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

The subjects in this workshop are closely related to the world we live in. For example, the Einstein metrics - describing gravitational fields and mirror symmetry - a phenomenon discovered to describe our physical universe. To understand them, we need to find solutions to equations that involve many unknowns and their derivatives. It is highly challenging to construct solutions for these equations. Many basic questions remain open despite great efforts have been devoted and significant progress has been made. In attempts to solve the equations, a powerful way is the geometric flows. These are equations which evolve the key quantities that we try to understand along with time, and as time moves on the evolutions eventually get close to the true solutions. This approach has been fruitful and providing deep insights. It it timely to gather some of the leading experts and young talents to share their results and imitate new projects.

ICERM/Brown University

The mathematical description of many-particle systems is a fundamental and challenging problem. At the microscopic level, particle interactions can be modeled with very large systems of ordinary differential equations. This approach can be impractical due to the very large dimension of the systems. Mean field models based on partial differential equations thus arise to describe the collective behavior of a large number of particles. Depending on the spatial and temporal scales, as well as the heterogeneity among particles, PDEs of different types and dimensions emerge. At the mesoscopic level, effective models are kinetic equations - including the Vlasov, Boltzmann, Landau equations - while at the macroscopic level we have continuum equations (for example, the Euler and Navier-Stokes equations). Beyond common mathematical challenges, microscopic, kinetic and fluid equations share a deeper link: Fluid equations can be obtained as a limit in certain asymptotic regimes from kinetic equations which, in turn, can be obtained by limits from microscopic models. This workshop aims at bringing together researchers working in these three connected areas from an analytical and computational perspective. These areas have seen dramatic progress over the last decade, and the methods and problems in each field are becoming highly relevant to the other fields. The meeting will showcase the most recent breakthrough results and promote interactions among communities and cross-pollination of techniques and mathematical methods.

Phone: [4018635030];     Email: info@icerm.brown.edu

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

The Banff International Research Station will host the workshop "Recent Breakthroughs and New Perspectives on the Interplay between Fluid Mechanics and Kinetic Theory" in 2026. This event will bring together leading experts from two closely-related fields---fluid mechanics and kinetic theory---that have seen remarkable progress and growth in the last decade. The workshop aims to foster collaboration and the exchange of ideas between these communities, accelerating the proliferation of techniques and discovery of new research directions.

Applied Mathematics (in general),    Applied Physics (general)

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

The mathematical modeling of biological systems with partial differential equations has a long and successful history. Many results on species invasion or extinction, pattern formation and species interactions have been derived and used to better understand the biology around us. Applications cover a vast scale of sizes, from protein movement in the cell nucleus, to cell movement to tissue structure, organ structure, up to species interactions on the population level. Recently, a new model class arose that include finite distance interactions into the partial differential equation (PDE) framework. Non-local interactions relate to different sensing mechanisms, starting with sensing through sight and smell, to sensing through touch, cell-cell contact and cell protrusions to more abstract concepts such as learning and memory. In this workshop we aim to bring together established and young researchers to push the frontiers of research into non-local partial differential equations and their applications to biological problems.

Modeling and Simulation,    Systems Biology and Computational Biology

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

The analysis of nonlinear diffusion PDEs is a wide field of research that not only encompasses elliptic and parabolic equations, but also includes several functional-analytic tools that proved successful in the deep understanding of such equations: just to mention a few, we recall Hardy, Poincaré and Sobolev inequalities. The corresponding rigorous theory, at least in the Euclidean setting, has reached extremely high levels, both in the local and the nonlocal case, with many sharp results available by now. The general interest for such equations is motivated by the fact that they are of paramount importance in the description and modeling of a number of real-world phenomena (e.g., the flow of gases through a porous medium, water infiltration, heat dispersion, population dynamics, etc...).

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

The 5-day workshop, "Space-time Approaches to PDE Solvers: Unlocking the Power of Co-Design'', will bring together a diverse group of leading international experts in numerical analysis, scientific computing, and hardware-software integration to review and explore the cutting-edge developments and challenges in the simulation of complex PDEs. The workshop will focus on three major themes: i) space-time discretization methods for PDEs; ii) co-design principles for the next generation of PDE solvers; and iii) real-world applications for these advanced solvers, ranging from fluid dynamics and Earth system modeling to plasma-based energy systems to biomedical simulations and personalized medicine.

Applied Mathematics (in general),    Numerical Analysis and Computational Mathematics