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AG Modellierung, Numerik, DifferentialgleichungenColloquium

"AG Modellierung, Numerik, Differentialgleichungen"

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Colloquium of the Modeling, Numerics, Differential Equations Group

Winter Term 2016/17
Responsible Persons:
All Professors of the
Modeling • Numerics • Differential Equations Group
Coordination:
Dr. Philipp Petersen, Mones Raslan
Dates:
Tue 16-18 Uhr in MA 313 and by appointment
Content:
Talks by visitors and sometimes also our faculty on current resesarch topics 
Contact:

Description

The colloquium of the Modeling, Numerics, Differential Equations Group at the institute of mathematics is a conventional colloquium attracting a broad audience consisting of professors and research assistants of all associated work groups, in particular applied functional analysis, numerical linear algebra, and partial differential equations. Graduate students are also attending the colloquium.

For these reasons we look forward to talks aimed at non-specialists that can be be enjoyed by graduate students.

Terminplanung / schedule (Abstracts s. unten / Abstracts see below)
Datum
date
Zeit
time
Raum
room
Vortragende(r)
speaker
Titel
title
Einladender
invited by
09.04.2019
16:15
MA 004
Eduardo Casas Rentería (Universidad de Cantabria)
Colloquium in honor of the retirement of Prof. Dr. Fredi Tröltzsch
R. Schneider
16.04.2019
16:15
MA 313
23.04.2019
16:15
MA 313

 
30.04.2019
16:15
MA 313
 
07.05.2019
16:15
MA 313

14.05.2019
16:15
MA 313
21.05.2019
16:15
MA 313
28.05.2019
16:15
MA 313
Gitta Kutyniok (TU Berlin)
B. Zwicknagl
04.06.2019
16:15
MA 313
11.06.2019
16:15
MA 313
Christopher Beattie (Virginia Tech)
V. Mehrmann
19.06.2019 (Wednesday)
16:15
MA 313
Serkan Gugercin (Virginia Tech)
V. Mehrmann
25.06.2019
16:15
MA 313
02.07.2019
16:15
MA 313
09.07.2019
16:15
MA 313
Helmut Harbrecht (Universität Basel)
R. Schneider

Abstracts

Ronald W. Hoppe (Universität Augsburg / University of Houston)

Numerical Solution of Second and Fourth Order Total Variation Flow Problems

 

María Soledad Aronna (Escola de Matemática Aplicada Rio de Janeiro)

In this talk I will present the main features of first and second order optimality conditions for optimal control problems of ordinary differential equations that are affine with respect to the control and nonlinear with respect to the state. Assuming the presence of control constraints, I will present a second order sufficient condition for optimality and a numerical scheme in the form of a shooting method.

 

David Siska (University of Edinburgh)

Exponential Convergence of Policy Improvement Algorithm for Controlled Diffusions

In this talk I will present the main features of first and second order optimality conditions for optimal control problems of ordinary differential equations that are affine with respect to the control and nonlinear with respect to the state. Assuming the presence of control constraints, I will present a second order sufficient condition for optimality and a numerical scheme in the form of a shooting method.

 

Herbert Egger (TU Darmstadt)

On the systematic approximation of evolution problems
with dissipation, Hamiltonian, or gradient structure.

A general framework for the numerical approximation of evolution
problems is presented that allows
to preserve an underlying dissipative, Hamiltonian, or gradient
structure. The approach is based on rewriting
the evolution problem in a particular form that complies with the
underlying structure and its variational
formulation. The underlying structure is then preserved automatically
under Galerkin projection in space,
which allows to deduce important structural properties for appropriate
discretization schemes including
projection based model reduction methods.

For the time-discretization, we consider two different approaches
depending on the underlying geometric
structure, i.e., discontinuous Galerkin and Petrov-Galerkin
approximations. Again, the basic structure of
the problem is inherited automatically by the proposed discretization
schemes.

The presented framework is rather general and allows the numerical
approximation of a wide range of applications,
including nonlinear partial differential equations and port-Hamiltonian
systems. Several examples will be discussed
for illustration and some connections to other discretization approaches
will be revealed.

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