Departement Mathematik

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Zurich colloquium in applied and computational mathematics

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Herbstsemester 2011

Datum / Zeit Referent:in Titel Ort
21. September 2011
16:15-17:15 		Prof. Dr. Tucker Carrington
Queen's University, Ontario, Canada
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Zurich Colloquium in Applied and Computational Mathematics

Titel Using sparse grids to solve the vibrational Schrödinger equation
Referent:in, Affiliation Prof. Dr. Tucker Carrington, Queen's University, Ontario, Canada
Datum, Zeit 21. September 2011, 16:15-17:15
Ort HG E 1.2
Abstract I shall review computational techniques for solving the vibrational Schroedinger equation and present new ideas for using sparse grids to cope with the curse of dimensionality. Mathematicians not interested in solving the Schrödinger equation might appreciate: 1) how to do quadratures with a sparse grid without summing contributions to the integral from each of the grids that compose the sparse grid; 2) how to exploit the structure of nested grids to evaluate matrix-vector produces efficiently.
Using sparse grids to solve the vibrational Schrödinger equationread_more
HG E 1.2
28. September 2011
16:15-17:15 		Dr. Xavier Claeys
ISAE Toulouse, France
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Zurich Colloquium in Applied and Computational Mathematics

Titel Multi-trace boundary integral formulation of the first kind for acoustic scattering by composite structures
Referent:in, Affiliation Dr. Xavier Claeys, ISAE Toulouse, France
Datum, Zeit 28. September 2011, 16:15-17:15
Ort HG E 1.2
Abstract We study the scattering of acoustic waves by a penetrable object composed of several adjacent parts with different material properties. Starting from an already well known single trace integral formulation of the first kind for this problem, we derive a new boundary integral formulation of the first kind where all unknowns are doubled on each interface. This formulation is immune to spurious resonnances, and it satisfies a stability property that ensures quasi optimal convergence of conforming Galerkin boundary element methods. Besides the operator of this formulation satisfies a relation similar to the standard Calderon identity.
Multi-trace boundary integral formulation of the first kind for acoustic scattering by composite structuresread_more
HG E 1.2
12. Oktober 2011
16:15-17:15 		PD Dr. Steffen Börm
CAU Kiel, Deutschland
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Zurich Colloquium in Applied and Computational Mathematics

Titel Matrix-Galerkin
Referent:in, Affiliation PD Dr. Steffen Börm, CAU Kiel, Deutschland
Datum, Zeit 12. Oktober 2011, 16:15-17:15
Ort HG E 1.2
Abstract Certain mathematical problems from control theory or the investigation of stochastic PDEs lead to matrix equations. Storing the $n \times n$ solution matrix in the standard way requires ${\mathcal O}(n^2)$ units of storage, so this representation becomes unusable if $n$ grows large. In this talk, an alternative approach is discussed: the matrix is approximated in a data-sparse representation requiring only ${\mathcal O}(n k)$ units of storage, where $k$ is a parameter controlling the accuracy of the approximation. A Galerkin approach can be employed to compute the approximation. The talk outlines the fundamental idea, demonstrates how a number of fundamental properties of the resulting system can be derived, and discusses algorithms for solving this system.
Matrix-Galerkinread_more
HG E 1.2
26. Oktober 2011
16:15-17:15 		Prof. Dr. Eric Vanden-Eijnden
Courant Institute, New York
Details

Zurich Colloquium in Applied and Computational Mathematics

Titel Dimension reduction, coarse-graining and data assimilation in high-dimensional dynamical systems: modeling and computation
Referent:in, Affiliation Prof. Dr. Eric Vanden-Eijnden, Courant Institute, New York
Datum, Zeit 26. Oktober 2011, 16:15-17:15
Ort HG E 1.2
Dimension reduction, coarse-graining and data assimilation in high-dimensional dynamical systems: modeling and computation
HG E 1.2
23. November 2011
16:15-17:15 		Prof. Dr. Mustafa Khammash
D-BSSE, ETH Zurich
Details

Zurich Colloquium in Applied and Computational Mathematics

Titel Stochastic gene expression: mathematical modeling, analysis, and control
Referent:in, Affiliation Prof. Dr. Mustafa Khammash, D-BSSE, ETH Zurich
Datum, Zeit 23. November 2011, 16:15-17:15
Ort HG E 1.2
Abstract Mathematical modeling of genetic networks is key to understanding life at the most basic level. One of the challenges to the analysis and synthesis of such networks is that the cellular environment in which they function is abuzz with noise arising from the random nature of biochemical reactions at the molecular level. Cellular noise results in random fluctuations within individual living cells and is a source of variability among genetically identical populations. In this talk, we present a stochastic modeling paradigm for modeling genetic networks based on continuous-time discrete (infinite) state Markov models. We discuss some of the key computational methods for the simulation, approximation, and analysis of such models and how they can be used to enhance our fundamental understanding of stochastic biological phenomena. A quantitive understanding of the stochastic nature of gene expression leads naturally to the development of methods for feedback control of genetic circuits. We describe novel analytical and experimental work demonstrating the feasibility of such control. We end with adiscussion of some open computational problems in the field.
Stochastic gene expression: mathematical modeling, analysis, and controlread_more
HG E 1.2
30. November 2011
16:15-17:15 		Dr. Claudia Schillings
Dept. Math., University of Trier, Germany
Details

Zurich Colloquium in Applied and Computational Mathematics

Titel On the treatment of uncertainties in aerodynamic design
Referent:in, Affiliation Dr. Claudia Schillings, Dept. Math., University of Trier, Germany
Datum, Zeit 30. November 2011, 16:15-17:15
Ort HG E 1.2
Abstract Uncertainties pose problems for the reliability of numerical computations and their results in all technical contexts one can think of. They have the potential to render worthless even highly sophisticated numerical approaches, since their conclusions do not realize in practice due to unavoidable uncertainty in parameter values, initial and boundary conditions, geometry, etc. The proper treatment of these uncertainties within a numerical context is a very important challenge. In this talk, we discuss a novel approach towards aleatory uncertainties for the specific application of optimal aerodynamic design under uncertainties. An appropriate robust formulation of the underlying deterministic problem and efficient approximation techniques of the probability space are investigated. Finally, algorithmic approaches based on multiple-setpoint ideas in combination with one-shot methods are presented as well as numerical results.
On the treatment of uncertainties in aerodynamic designread_more
HG E 1.2

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Organisatoren:innen: Philipp Grohs, Ralf Hiptmair, Arnulf Jentzen, Siddhartha Mishra, Christoph Schwab

Archiv: FS 25 HS 24 FS 24 HS 23 FS 23 HS 22 FS 22 HS 21 FS 21 HS 20 FS 20 HS 19 FS 19 HS 18 FS 18 HS 17 FS 17 HS 16 FS 16 HS 15 FS 15 HS 14 FS 14 HS 13 FS 13 HS 12 FS 12 HS 11 FS 11 HS 10 FS 10 HS 09

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