Konferenzen  >  Mathematik  >  Angewandte Mathematik (allgem.)  >  Großbritannien

Isaac Newton Institute for Mathematical Sciences (INI)

A large collection of inverse problems involve using waves scattered or emitted from an object to image its interior or to determine some of its material properties. Applications including radar and microwave imaging, astronomy, sonar, ultrasound, and geophysics, may share many characteristics. These applications also cover a spectrum of problems and length scales from low to high frequency, near to far field, static to highly dynamic, and from imaging discrete isolated objects to the interior of a continuously varying medium. Through this spectrum, different computational and theoretical challenges in inverse problems will arise – and understanding the transition through regimes can also provide new insights in and of itself.

This workshop will put a spotlight on the mathematical similarities of Rich and Non-linear Tomography across these applications in order to catalyse rapid development of new tomographic methods. As part of a highly interdisciplinary programme, the aim is for real-world problems in these applications to motivate a breadth of theoretical and practical mathematical research challenges – from microlocal analysis through to Bayesian methods. It will also help to break down communication barriers between disciplines and applications.

Isaac Newton Institute for Mathematical Sciences (INI)

In this workshop we gather experts in modelling and solution of various nonlinear and rich tomographic problems across the academia and industry with the goal to exchange ideas, cross-fertilise between modalities and identify and address common challenges.

Isaac Newton Institute for Mathematical Sciences (INI)

The accurate and efficient numerical modelling of waves interacting with complex scattering geometries is crucial for a wide range of engineering and science applications, including electromagnetic/photonic/acoustic/elastodynamic imaging and device/material design. The multiple scattering regime — i.e. wave scattering scenarios in which there are multiple interactions — includes strong scattering by multiple obstacles, periodic structures, media with variable refractive index, waveguides, random media, and non-convex obstacles. This brings special computational challenges since perturbative and one-way approximations do not apply, and ray methods usually suffer from exponential proliferation. Conventional PDE solvers are also inadequate, particularly at high frequencies, and/or when the propagation domain is highly heterogeneous (containing many scatterers, a highly variable refractive index or geometric singularities).

The aim of this workshop is to bring together researchers working on computational methods for multiple scattering and to explore possible connections and common challenges between the different communities involved.

- novel discretization techniques based on numerical homogenisation, integral equation methods, finite element methods (including Trefftz methods), and semi-analytic and generalised eigenfunction methods; - acceleration techniques including preconditioning, matrix compression (including H-matrices and the fast multipole method), domain decomposition and fast direct solvers; - robust and efficient software implementations

Angewandte Physik (allgemein),    Computerphysik und Numerische Simulation

Isaac Newton Institute for Mathematical Sciences (INI)

In tandem with the workshop on Mathematical Foundations, this week-long workshop will focus on algorithms and methodology to address key tasks in data-driven engineering. A particular focus of this workshop will be on highlighting computational challenges in the application areas of the DDE programme (aeronautics, chemical engineering, and civil and environmental engineering) and showcasing promising emerging tools.

data assimilation and statistical inverse problems, reinforcement learning and control, model order reduction, bridging mechanistic and data-driven models and methods

ICMS - International Centre for Mathematical Sciences

This workshop is part of the Isaac Newton Institute programme on The mathematical and statistical foundation of future data-driven engineering. A particular focus of this workshop will be on the underlying mathematical and statistical foundations required to make computational tools efficient and transferable.

data assimilation and statistical inverse problems, reinforcement learning and control, model order reduction, bridging mechanistic and data-driven models and methods.

Isaac Newton Institute for Mathematical Sciences (INI)

In tandem with the workshop on Computational Challenges and Emerging Tools, this week-long workshop will focus on algorithms and methodology to address key tasks in data-driven engineering. A particular focus of this workshop will be on the underlying mathematical and statistical foundations required to make computational tools efficient and transferable.

data assimilation and statistical inverse problems, reinforcement learning and control, model order reduction, bridging mechanistic and data-driven models and methods

ICMS - International Centre for Mathematical Sciences

Waves on the surface of a fluid, or on the interface between different fluids are ubiquitous phenomena with wide importance in technology, science and the environment. Over the past fifty years the advent of numerical computations have meant that fundamental questions about waves have proven to be fertile ground for numerical approaches, and additionally rigorous theory, numerical and asymptotic methods have intersected to furnish a vibrant interdisciplinary ground for fundamental research.

This workshop will bring together mathematicians and other scientists working on numerical, asymptotic and rigorous aspects on a variety of free surface flows.

Computerphysik und Numerische Simulation,    Thermodynamik, Hydrodynamik und Statistische Mechanik

Isaac Newton Institute for Mathematical Sciences (INI)

This workshop will include experts on a wide range of emerging tomographic techniques using particles including muon and muon scattering tomography, proton tomography, electron tomography, emission tomography including emission tomography for radiographic dose estimation, Compton scattering tomography and neutron diffraction tomography. Most of these tomographic modalities are non-linear and involve measurement of more than intensities. They thus require sophisticated mathematical techniques for successful imaging and the goal is to match these emerging methods with mathematicians studying integral geometry, non-Abelian tomography, Bayesian inverse problems, regularisation and related areas in an attempt to spur interdisciplinary collaboration.

Angewandte Physik (allgemein),    Angewandte Physik: Neutronenstreuung

Isaac Newton Institute for Mathematical Sciences (INI)

In many cases, multiple scattering models and methods are designed with a specific application in mind, typically in engineering or applied sciences. The workshop will bring together researchers applying multiple scattering to solve real-world problems, so as to identify common knowledge gaps and emerging applications. The application areas include among others mechanics and thermal physics, interaction of electromagnetic waves with matter and acoustics. Special focus will be placed on both structured materials and metamaterials for which semi-analytic approach to multiple scattering is pivotal. These kinds of materials allow waves to be manipulated on demand. The main goal of the workshop is bringing together experts working in this field to foster the dissemination and sharing of ideas that could lead to innovative solutions and pave the way for the development of devices for various applications in the broad field of Wave Physics.

Metamaterials; Metasurfaces; Homogenization techniques for periodic structures; Non-reciprocal manipulation of waves; Topological and parity-time symmetric systems. Meta-devices based on transformation acoustics/optics. Disordered and Hyperunifom materials. New physical concepts to exploit waves; New applications of functional devices based on both structured materials and metamaterials for sensing, masking, imaging, absorption, energy recovery, etc.

ICMS - International Centre for Mathematical Sciences

This workshop will focus on developing new statistical solutions to address these new ecological data-driven challenges.

Statistik, Spieltheorie ,    Simulation

Isaac Newton Institute for Mathematical Sciences (INI)

ICMS - International Centre for Mathematical Sciences

The International Conference on Stochastic Analysis and Applications (ICSAA) is a biannual on Stochastic Analysis. The first edition of this conference series was held in Washington in 2006, for past editions of ICSAA see https://www.math.uni-bielefeld.de/icsaa/#history. It is in the scope of the conference to embrace a wide breadth of topics in stochastic analysis and interplaying mathematical disciplines.

Isaac Newton Institute for Mathematical Sciences (INI)

This workshop will bring together researchers from biophysics/mechanobiology experiment, soft active matter theory and non-equilibrium statistical mechanics. There will be a mixture of pedagogical overview talks and research talks. The meeting aims to bring together mathematicians and statistical physicists specializing in the fundamental properties of fluctuations and response in nonequilibrium states with theoretical researchers in soft matter working on active matter and biological physics and experimental researchers in biology and biophysics. We expect to enable new collaborations and cross-fertilization of ideas. In short, we expect that understanding the living world will provide challenges that will stimulate new fundamental thinking in statistical physics while current research in this field will help to structure our ever-expanding knowledge of living matter as a nonequilibrium dynamical system.

ICMS - International Centre for Mathematical Sciences

Isaac Newton Institute for Mathematical Sciences (INI)

The "Complex analysis: techniques, applications and computations" (CAT) programme of 2019 brought together participants from diverse geographical and scientific communities to develop and apply complex analysis to a host of problems from areas including pure and applied mathematics, physics, engineering, and medicine. The Follow-On workshop is an opportunity to consolidate the achievements of the CAT programme and enhance its impact. Its first main goal will be to assess the progress that has taken place in the key thematic areas of the programme. The second main goal will be to formulate new open problems for the community to address in subsequent years. Finally, the workshop will also provide an opportunity to establish new collaborations. The workshop will mirror the structure of the original thematic programme and will cover the following three main overlapping areas: (1) Techniques of complex analysis, including, but not limited to, connections with classical, harmonic and asymptotic analysis, new transform methods, advances in the Wiener–Hopf and Riemann–Hilbert problems; (2) Applications of complex analysis, highlighting connections with diverse areas of modern physics and applied sciences as well as engineering; and n(3) computational complex analysis, including a range of topics bridging mathematical foundations of various numerical techniques and their software implementations.

Isaac Newton Institute for Mathematical Sciences (INI)

Modelling collective group movement in animal ecology and cell biology has, over the years, followed two relatively parallel modelling paths. Most prevalent for the former are what one might define as discrete level models, whereby computational constructs are used to keep track of the spatio-temporal dynamics of each individual in a group. Problems in the latter, cell biology, have been tackled mostly by continuous models whereby the details of the individuals are neglected, in favour of a description of the entire population through, e.g. a density function. However, more recently hybrid agent-based/population models have gained increasing usage.

As the overall aim of the workshop is to create an overarching modelling framework with which to interpret common empirical features, the exchange of ideas and techniques from the different communities is an invaluable opportunity to move forward and at the same to delineate the boundaries of applicability of the different approaches in collective movement research.

Simulation,    Systembiologie und mathematische Biologie

Isaac Newton Institute for Mathematical Sciences (INI)

Simulation,    Systembiologie und mathematische Biologie

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.

Analysis,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

Isaac Newton Institute for Mathematical Sciences (INI)

The study of interactions among living entities covers broad scientific domains, ranging from molecules and cells through individual organisms and groups to species, populations and communities. Common to all domains is the need to quantify the presumed interactions at the relevant spatial and temporal scales. While no formal theory exists in the literature, there exist different approaches that aim to construct a mechanistic representation of how individuals interact with each other as well as how to measure such interactions, but in most cases such approaches are specific to the problem at hand. The common factor among the existing approaches is their intention to represent the sequential nature of how organisms interact, first acquiring information from their surroundings, then processing that information and subsequently selecting a movement response.

By cross-fertilising different ideas and techniques in animal ecology and cell biology we aim to gain a more realistic perspective on measurement and representation of organism interactions, revisiting existing concepts, and permitting new discoveries and insights.

Simulation,    Systembiologie und mathematische Biologie

Isaac Newton Institute for Mathematical Sciences (INI)

Simulation,    Systembiologie und mathematische Biologie

Isaac Newton Institute for Mathematical Sciences (INI)

The purpose of this workshop is to bring together scientists interested in different areas of complex movement in a biological context, from field research, to data analysis, to theoretical modelling. In particular, the focus will be on complex movement beyond the Markov property, such as memory-dependent animal foraging processes, spatial avoidance due to past deposition of animal scent or resource depletion, and directed motion in neutrophils. Despite its ubiquity, the mathematical difficulty in dealing with history dependence has hampered the study of non-Markov movement processes. Past empirical limitations are also responsible for the lack of a general theory to describe history dependent movement processes, as detection of features that would distinguish between Markov and non-Markov model predictions were not attainable. Currently, movement data may reach unprecedented resolution, and there is a renewed interest in developing non-Markov movement models, exemplified by recent theoretical studies to devise general prescriptions to simulate non-Markov stochastic processes.

Simulation,    Systembiologie und mathematische Biologie

ICMS - International Centre for Mathematical Sciences

This workshop will gather researchers from the intersecting fields of inverse problems, uncertainty quantification, data analytics, machine learning, and related areas to discuss novel theory and new methods for big data challenges. A focused multifaceted research group gathered at one location is an excellent opportunity for established and early career researchers. The aim of this workshop is to foster a diverse, open, and friendly environment to advance this field, open new directions, and to stimulate new collaboration.

Informations & Wissensmanagement, Big Data Computing,    Wissenschaftliches Rechnen und Datenwissenschaft