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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 Mathematik (allgem.),    Angewandte Physik (allgemein)

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.

Angewandte Mathematik (allgem.),    Thermodynamik, Hydrodynamik und Statistische Mechanik

Isaac Newton Institute for Mathematical Sciences (INI)

Our workshop on Climate Applications of Layering will bring together specialists in theory, numerical modelling, laboratory experiments and observations to address questions including how do layers and interfaces form in various settings, what factors control the strength of the interface between layers, what factors result in the erosion of the interface, and how strong must an interface be to resist being eroded?

Angewandte Mathematik (allgem.),    Meteorologie und Klimaveränderung