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Model reduction of parametrized Systems

Participating journal: Advances in Computational Mathematics
The tremendous advances in numerical analysis as well as in computing power in the past decades have resulted in the availability of computational methods for increasingly complex systems. These systems typically involve a variety of parameters (e.g. physical, geometric, loading, or control parameters), possibly affected by uncertainties. Furthermore, in many applications, the goal is not to merely predict the system behavior, but to solve an inverse, design, control, optimization, parameter estimation problem, possibly in real-time and possibly taking into account uncertainties.

The solution of such problems typically requires repeated simulations at many different parameter values. For complex systems, this task can easily become infeasible despite increased computing capabilities. Thus, fast and reliable reduced computational models are needed. Model reduction has been a very active area of research for the past decades.

Participating journal

Advances in Computational Mathematics publishes high quality, accessible, and original articles at the forefront of computational and applied mathematics, with a clear potential for...

Editors

  • Anthony Nouy

    Anthony Nouy

    Anthony Nouy is a Professor at the Department of Mathematics and Computer Science at the École Centrale de Nantes. He previously held Associate Professor and Lecturer positions at Université de Nantes, Ecole Normale Supérieure de Cachan and Université Paris 6. He is a member of the Editorial Board of mutliple scientific journals, including "Advances in Computational Mathematics" and "SIAM Journal on Numerical Analysis".
  • Peter Benner

    Peter Benner

    Peter Benner is Director of the Max Planck Institute for Dynamics of Complex Technical Systems and head of the department “Computational Methods in Systems and Control Theory”. Moreover, he is a Professor at the TU Chemnitz and Adjunct Professor at the Otto-von-Guericke University Magdeburg. He serves on the editorial board of several scientific journals, including Advances in Computational Mathematics and the SIAM Journal on Matrix Analysis and Applications.
  • Mario Ohlberger

    Mario Ohlberger

    Mario Ohlberger is a Full Professor of Applied Mathematics and Managing Director of Applied Mathematics at the University of Münster’s Institute of Analysis and Numerics. He is an Associate Editor of five mathematical journals, including SIAM Journal on Scientific Computing. He is a member of the Center for Nonlinear Science, the Center for Multiscale Theory and Computation, and the Cluster of Excellence “Cells in Motion”.
  • Gianluigi Rozza

    Gianluigi Rozza

    Gianluigi Rozza has been an Associate Professor of Numerical Analysis and Scientific Computing at SISSA, International School for Advanced Studies since 2014. He holds a degree in Aerospace Engineering from Politecnico di Milano (2002) and a PhD in Applied Mathematics at Ecole Polytechnique Federale de Lausanne (2005). He was a post-doctoral research associate at the Massachusetts Institute of Technology (MIT) Center for Computational Engineering (2006-08), then a Researcher and Lecturer at EPFL (2008-2012).
  • Karsten Urban

    Karsten Urban

    Karsten Urban is a Full Professor of Numerical Mathematics and Director of the Scientific Computing Centre at Ulm University. He is Managing Editor in Chief of Advances in Computational Mathematics and Associate Editor of several mathematical journals, including SIAM Journal on Scientific Computing and Partial Differential Equations and Applications. Further, he is currently directing several interdisciplinary research projects.
  • Karen Willcox

    Karen Willcox

    Karen E. Willcox is Director of the Oden Institute for Computational Engineering and Sciences, Associate Vice President for Research, and Professor of Aerospace Engineering and Engineering Mechanics at the University of Texas at Austin. She holds the W. A. “Tex” Moncrief, Jr. Chair in Simulation-Based Engineering and Sciences and the Peter O'Donnell, Jr. Centennial Chair in Computing Systems. Prior to joining the Oden Institute in 2018, she spent 17 years as a professor at the Massachusetts Institute of Technology.

Articles

Showing 1-21 of 21 articles

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