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RandomMultiScales SIGNED

Computational Random Multiscale Problems

Total Cost €


EC-Contrib. €






 RandomMultiScales project word cloud

Explore the words cloud of the RandomMultiScales project. It provides you a very rough idea of what is the project "RandomMultiScales" about.

intersection    deep    quantum    ranging    partial    surprising    generation    interplay    disordered    ergodicity    stochastic    microstructures    transitions    exceeds    separable    randomness    multiscale    underlying    contrast    simulation    space    anderson    mathematical    prediction    scattering    accounts    physics    numerics    deterministic    fundamental    physical    astonishing    interpretation    algorithmic    disorder    computational    modeling    decomposition    separation    observation    attempt    periodicity    numerical    fashion    base    equations    heterogeneous    dimensional    probabilistic    breakthroughs    direct    magnitude    hierarchical    multiple    computing    resolve    localization    quantification    seemingly    waves    statistically    invisibility    experimental    theories    envisioned    metamaterials    unrelated    random    clears    orders    media    nexus    games    scales    domain    homogenization    cloaking    continuum    paradigm    goals    phenomena    truly    hence    differential    bayesian    easily    adaptive    links    geometrically    connected    stationarity    models   

Project "RandomMultiScales" data sheet

The following table provides information about the project.


Organization address
postcode: 86159

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Germany [DE]
 Total cost 1˙796˙926 €
 EC max contribution 1˙796˙926 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2019-COG
 Funding Scheme ERC-COG
 Starting year 2020
 Duration (year-month-day) from 2020-05-01   to  2025-04-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITAET AUGSBURG DE (AUGSBURG) coordinator 1˙796˙926.00


 Project objective

Geometrically or statistically heterogeneous microstructures and high physical contrast are the key to astonishing physical phenomena such as invisibility cloaking with metamaterials or the localization of quantum waves in disordered media. Due to the complex experimental observation of such processes, numerical simulation has very high potential for their understanding and control. However, the underlying mathematical models of random partial differential equations are characterized by a complex interplay of effects on many non-separable or even a continuum of characteristic scales. The attempt to resolve them in a direct numerical simulation easily exceeds today's computing resources by multiple orders of magnitude. The simulation of physical phenomena from multiscale models, hence, requires a new generation of computational multiscale methods that accounts for randomness and disorder in a hierarchical and adaptive fashion.

This proposal concerns the design and numerical analysis of such methods. The main goals are connected to fundamental mathematical and algorithmic challenges at the intersection of multiscale modeling and simulation, uncertainty quantification and computational physics:

(A) Numerical stochastic homogenization beyond stationarity and ergodicity, (B) Uncertainty quantification in truly high-dimensional parameter space, (C) Computational multiscale scattering in random heterogeneous media, (D) Numerical prediction of Anderson localization and quantum phase transitions.

These objectives base upon recent breakthroughs of deterministic numerical homogenization beyond periodicity and scale separation and its deep links to seemingly unrelated theories ranging all the way from domain decomposition to information games and their Bayesian interpretation. It is this surprising nexus of classical and probabilistic numerics that clears the way to the envisioned new computational paradigm for multiscale problems at randomness and disorder.

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The information about "RANDOMMULTISCALES" are provided by the European Opendata Portal: CORDIS opendata.

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