New Trends in Numerical Multiscale Methods and Beyond (Web)

July 12 - July 16, 2021

This workshop brings together experts that work on various aspects of numerical multiscale methods and related areas. In the past few years, the field of multiscale methods, i.e. the numerical treatment of phenomena that involve a wide range of vitally different space and time scales, has gone through an enormous transition. With this, the efficiency and reliability of multiscale methods, as well as its range of applications, were significantly improved. At the occasion of this event we want to take the next step by finding and establishing new links to emerging disciplines in the fields of model order reduction and data sciences. For instance, we want to investigate how to improve existing multiscale approaches by replacing or compressing the underlying models (on one or several scales) by using reduced basis strategies. Another possibility is to explore the potential of machine learning strategies, such as designing suitable auto-encoder-decoders, to identify unknown coarse variables or hidden dynamics in a model. This would help design new efficient strategies that enable us to solve problems that cannot be handled with existing schemes. Bridging multiscale schemes with the crucial domain of inverse problems is also vital for many applications ranging from geoscience to medicine. The interplay between statistical tools such as Bayesian or filtering techniques with multiscale modeling has shown some early success but is still in its infancy. In order to achieve these goals, it is crucial to start with gathering experts from the various fields and to present and discuss their relations to multiscale methods. In order to make the conference a fruitful environment for discovering new possibilities, the scope of this workshop is broad and includes multiscale methods based on analytical homogenization theory, heterogenous multiscale methods that do not require scale separation, model order reduction techniques, multiscale machine learning, stochastic homogenization methods as well as statistics and approaches that focus on specific advanced applications.

 

 

Seminars Scroll to the next upcoming seminar

  • Super-localization of elliptic multiscale problems July 12 10:30 - 11:15

    Super-localization of elliptic multiscale problems

  • Adaptive Multiscale Coupling Methods for Crystalline Defects July 12 13:30 - 14:15

    Adaptive Multiscale Coupling Methods for Crystalline Defects

  • Learning to Solve Forward and Inverse Problems in Imaging and Scientific Computing July 12 15:30 - 16:15

    Learning to Solve Forward and Inverse Problems in Imaging and Scientific Computing

  • On using reduced order models in data-augmented training of machine learning models for reactive flow July 12 16:45 - 17:15

    On using reduced order models in data-augmented training of machine learning models for reactive flow

  • On solving/learning differential equations with kernels July 12 18:00 - 18:45

    On solving/learning differential equations with kernels

  • Space-time NLMC for parabolic equations with moving channelized media July 13 09:00 - 09:45

    Space-time NLMC for parabolic equations with moving channelized media

  • Offline-Online strategy for multiscale problems with random defects July 13 11:00 - 11:45

    Offline-Online strategy for multiscale problems with random defects

  • Numerical homogenization for network models July 13 15:30 - 16:00

    Numerical homogenization for network models

  • Canonical mean-field molecular dynamics derived from quantum mechanics July 13 16:30 - 17:15

    Canonical mean-field molecular dynamics derived from quantum mechanics

  • Multiscale methods for mechanics, electronic structure, and transport in 2D heterostructures July 13 18:00 - 18:45

    Multiscale methods for mechanics, electronic structure, and transport in 2D heterostructures

  • Reducing the resonance error in numerical homogenization via parabolic and elliptic local problems under… July 14 09:30 - 10:15

    Reducing the resonance error in numerical homogenization via parabolic and elliptic local problems under…

  • On the construction of coarse approximations for highly oscillatory elliptic problems by using coupling July 14 16:45 - 17:30

    On the construction of coarse approximations for highly oscillatory elliptic problems by using coupling

  • Spectral methods for McKean-Vlasov PDEs: phase transitions and coloured noise July 14 18:00 - 18:45

    Spectral methods for McKean-Vlasov PDEs: phase transitions and coloured noise

  • Multiscale methods and analysis for the highly oscillatory nonlinear Klein-Gordon equation July 15 09:00 - 09:45

    Multiscale methods and analysis for the highly oscillatory nonlinear Klein-Gordon equation

  • Superconvergent discretizations for the Gross-Pitaevskii equation using the method of LOD July 15 11:00 - 11:30

    Superconvergent discretizations for the Gross-Pitaevskii equation using the method of LOD

  • A multiscale method for heterogeneous bulk-surface coupling July 15 15:30 - 16:00

    A multiscale method for heterogeneous bulk-surface coupling

  • Randomized multiscale methods for nonlinear PDEs July 15 16:30 - 17:15

    Randomized multiscale methods for nonlinear PDEs

  • Canceled: Modeling tumor growth with pressure effects and nutrients July 15 18:00 - 18:45

    Canceled: Modeling tumor growth with pressure effects and nutrients

  • A high-order approach to elliptic multiscale problems July 16 09:00 - 09:30

    A high-order approach to elliptic multiscale problems

  • Two-scale Reduced Basis Method for Parameterized Multiscale Problems July 16 10:00 - 10:30

    Two-scale Reduced Basis Method for Parameterized Multiscale Problems

Participants

Name University Country Arrival and Departure
Assyr
Abdulle
University: EPFL Lausanne City: Switzerland Arrival and Departure: -
Robert
Altmann
University: University of Augsburg City: Germany Arrival and Departure: -
Doghonay
Arjmand
University: Mälardalen University City: Sweden Arrival and Departure: -
Målqvist
Axel
University: Chalmers / University of Gothenburg City: Sweden Arrival and Departure: -
Weizhu
Bao
University: National University of Singapore City: Singapore Arrival and Departure: -
Verfürth
Barbara
University: Karlsruhe Institute of Technology City: Germany Arrival and Departure: -
Eric
Chung
University: Chinese University of Hong Kong City: Hong Kong Arrival and Departure: -
Peterseim
Daniel
University: University of Augsburg City: Germany Arrival and Departure: -
Bin
Dong
University: Peking University City: China Arrival and Departure: -
Björn
Engquist
University: University of Texas at Austin City: United States Arrival and Departure: -
Fredrik
Hellman
University: Chalmers City: Sweden Arrival and Departure: -
Patrick
Henning
University: Ruhr-University Bochum / KTH Stockholm City: Germany / Sweden Arrival and Departure: -
Owhadi
Houman
University: California Institute of Technology City: United States Arrival and Departure: -
Federico
Izzo
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Matthew
Jacobs
University: University of California, LA City: United States Arrival and Departure: -
Smetana
Kathrin
University: University of Twente City: The Netherlands Arrival and Departure: -
Tim
Keil
University: University of Münster City: Germany Arrival and Departure: -
Claude
Le Bris
University: Ecole Nationale des Ponts et Chaussées City: France Arrival and Departure: -
Frédéric
Legoll
University: Ecole des Ponts ParisTech City: France Arrival and Departure: -
Lena
Leitenmaier
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Mitchell
Luskin
University: University of Minnesota City: United States Arrival and Departure: -
Roland
Maier
University: University of Gothenburg City: Sweden Arrival and Departure: -
Adrian
Muntean
University: University of Karlstad City: Sweden Arrival and Departure: -
Hieu
Nguyen
University: University Basel City: Switzerland Arrival and Departure: -
Runborg
Olof
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Greg
Pavliotis
University: Imperial College London City: United Kingdom Arrival and Departure: -
Anna
Persson
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Tsai
Richard
University: University of Texas at Austin City: United States Arrival and Departure: -
Felix
Schindler
University: University of Münster City: Germany Arrival and Departure: -
Julia
Schleuß
University: University of Münster City: Germany Arrival and Departure: -
Anders
Szepessy
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Johan
Wärnegård
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Lei
Zhang
University: Shanghai Jiao Tong University City: China Arrival and Departure: -