Faculty

Anton Arnold

Prof. Dr. Anton Arnold
Anton Arnold is Professor at the Institute for Analysis and Scientific Computing, Vienna University of Technology. His research is concerned with the analysis and numerical analysis of partial differential equations. In particular he is interested in the large-time behavior of parabolic and kinetic equations, open quantum systems as well as polymeric fluid flow models. Other topics of his research include open boundary conditions for Schrödinger-type equations as well as numerically efficient WKB-schemes for highly oscillatory problems.

anton.arnold@tuwien.ac.at
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Adrian Constantin

Prof. Dr. Adrian Constantin
Adrian Constantin is Professor of Mathematics at the University of Vienna and is the current holder of the Chair in Analysis at King's College London. His main area of research is the theory of nonlinear partial differential equations and its applications. While he is foremost an analyst, his work joins together pure and applied mathematics. He worked on integrable systems and soliton theory, dynamical systems and free boundary problems in fluid mechanics. Another area of his research is geometric mechanics. He also wrote several papers devoted to aspects relevant to tsunami waves.

adrian.constantin@univie.ac.at
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Ansgar Juengel

Prof. Dr. Ansgar Jüngel
Ansgar Jüngel is Professor at the Institute for Analysis and Scientific Computing of Vienna University of Technology and speaker of the Doctoral School. His research is concerned with the mathematical modeling, analysis, and numerical approximation of nonlinear PDEs. One main topic is the derivation and analysis of semiconductor models and the numerical simulation of semiconductor devices. Another central topic of his research is the development of entropy dissipation methods for nonlinear evolution equations arising in semiconductor physics, thermodynamics, and cell biology.

ansgar.juengel@tuwien.ac.at
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Jan Maas

Ass.-Prof. Dr. Jan Maas
Jan Maas is Assistant Professor of Stochastic Analysis at The Institute of Science and Technology Austria. His research interests are at the interface of mathematical analysis and probability theory. Recent work is concerned with the theory of optimal transport and its applications to stochastic processes, chemical reaction networks and dissipative quantum systems. Another main research area is the analysis of stochastic partial differential equations, with a particular focus on the approximation theory for highly irregular equations.

jan.maas@ist.ac.at
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Norbert Mauser

Prof. Dr. Norbert Mauser
Norbert Mauser is Professor of Mathematics at the University of Vienna and Director of the Wolfgang Pauli Institute (WPI.) His research is concerned with the modeling, (asymptotic) analysis, and numerical simulation of time dependent nonlinear PDEs. In particular he is working on nonlinear Schrödinger equations in quantum physics, e.g. the Gross-Pitaevskii equation modeling Bose-Einstein condensates or the Pauli equation for 2 spinors. In ragard to the DK he focusses on questions of modeling and numerical simulations in collaboration with experimental physicists.

mauser@courant.nyu.edu
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Markus Melenk

Prof. Dr. Jens Markus Melenk
Jens Markus Melenk is Professor of Computational Mathematics at the Vienna University of Technology and head of the Institute for Analysis and Scientific Computing. Melenk's research centers around high order discretizations of (elliptic) PDEs such as stability and convergence analysis (including regularity theory for elliptic problems), adaptivity (encompassing error estimation, convergence optimality), fast implementation, and solver issues. His interests associated with the DK are finite element and boundary element methods for wave propagation problems.

melenk@tuwien.ac.at
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Ilaria Perugia

Univ.-Prof. Ilaria Perugia, PhD
Ilaria Perugia is Professor of Numerics of Partial Differential Equations at the Faculty of Mathematics, University of Vienna. Her research is concerned with finite element methods for the numerical approximation of PDEs. Her interests mainly focus on the design and the analysis of standard and non standard finite element methods (discontinuous Galerkin, virtual element methods, finite elements with operator-adapted basis functions) for elliptic problems and for wave propagation problems.

ilaria.perugia@univie.ac.at
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Dirk Praetorius

Prof. Dr. Dirk Praetorius
Dirk Praetorius is Professor at the Institute for Analysis and Scientific Computing of Vienna University of Technology. His research deals with certain aspects of numerical analysis for partial differential equations, in particular, the finite element method and the boundary element method. One focus lies on the development of effective a posteriori error estimators and the convergence and quasi-optimality analysis of the corresponding adaptive mesh-refining algorithms. A second focus is on effective numerical methods for computational micromagnetics.

dirk.praetorius@tuwien.ac.at
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Walter Schachermayer

Prof. Dr. Walter Schachermayer
Walter Schachermayer is Professor of Mathematics at the University of Vienna. Walter Schachermayer's research is concerned with stochastic processes and their applications in finance. Coming from a general functional analytic and Banach space background, he applied successfully duality methods to problems of Mathematical Finance. Examples include contributions to the Fundamental Theorem of Asset Pricing and to portfolio optimization. Recently he has focused on the arbitrage theory under small transaction costs as well as on optimal transport theory.

walter.schachermayer@univie.ac.at
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Otmar Scherzer

Prof. Dr. Otmar Scherzer
Otmar Scherzer is Professor at the Faculty of Computer Science, University of Vienna. He is the head of the Computational Science Center (CSC) and the deputy speaker of the DK. His research interests are mathematical imaging and regularization theory. The focus in mathematical imaging lies in photoacoustic imaging and biomedical applications. The research is devoted to design effective imaging apparatuses, reconstruction of hidden parameters, and backprojection formulas. In regularization theory he interested for example in the analysis of iterative regularization methods for solving nonlinear illposed problems.

otmar.scherzer@univie.ac.at
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Christian Schmeiser

Prof. Dr. Christian Schmeiser
Christian Schmeiser is Professor at the Faculty of Mathematics, University of Vienna. His research has been concerned with modeling, analysis, and simulation of differential equations and stochastic processes, with applications in physics, engineering, and biology. Some of this work contributed to kinetic transport theory, in particular to the rigorous derivation of macroscopic limits. One of his main interests is in Mathematical Cell Biology, where he contributed to the theory of chemotaxis and, in an interdisiplinary cooperation, to the modeling of cytoskeleton dynamics.

Christian.Schmeiser@univie.ac.at
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Joachim Schoeberl

Prof. Dr. Joachim Schöberl
Joachim Schöberl is Professor at the Institute for Analysis and Scientific Computing of Vienna University of Technology. His research focuses on the numerical approximation of partial differential equations with the finite element method. He is interested in the design and analysis of methods such as e.g. high order, mixed and discontinuous Galerkin methods, robust multi-level and domain decomposition preconditioning, or a posteriori error estimators, as well in their application to engineering challenges in electromagnetics, solid-mechanics and fluid dynamics.

joachim.schoeberl@tuwien.ac.at
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Ulisse Stefanelli

Prof. Dr. Ulisse Stefanelli
Ulisse Stefanelli holds the Chair of Applied Mathematics and Modeling at the University of Vienna. His research focuses on partial differential equations and calculus of variations. He is interested in abstract and applied problems from a number of different perspectives including modeling, analysis, asymptotics, and numerical approximation. Main topic of his research is the analysis of variational structures, especially in the nonlinear evolutive context. A consistent part of his work is inspired by applications. In particular, he has been working in Materials Science, phase transitions, and Thermomechanics.

ulisse.stefanelli@univie.ac.at
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Peter Szmolyan

Prof. Dr. Peter Szmolyan
Peter Szmolyan is Professor at the Institute for Analysis and Scientific Computing of Vienna University of Technology. His research is concerned with the dynamics of multi-scale problems, geometric approaches to singular limits and asymptotic analysis, local and global bifurcations, as well as the dynamics of nonlinear waves and related patterns. Significant parts of his research are driven by applications, e.g. from biology, physics, and engineering. He has made important contributions to the field of geometric singular perturbation theory and to the area of viscous conservation laws.

szmolyan@tuwien.ac.at
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Gerald Teschl

Prof. Dr. Gerald Teschl
Gerald Teschl is Professor at the Faculty of Mathematics, University of Vienna. He research focuses on direct and inverse spectral theory for differential and difference operators in connection with completely integrable nonlinear wave equations. Main topics of his research are for example inverse scattering transform for integrable wave equations or long-time asymptotics using the nonlinear steepest descent analysis. A recent direction is the long-time asymptotics of the dispersionless Camassa-Holm equations.

Gerald.Teschl@univie.ac.at
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