Heidelberg Graduate School HGS MathComp

HGS MathComp Events

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Workshops
info  14. Modellierungstag "Geobasierte Modelle" Verschiedene Redner 1. Februar 2018 / 14:00 Uhr ECTS-Points: not yet determined
Abstract, registration & information:
Mathematische Modelle kommen in unserem Alltag in vielfältigen Varianten vor. Dabei spielt die Lokalisierung eine besonders wichtige Rolle: Ein abstraktes Modell wird konkretisiert, indem es mit lokalen Daten angereichert und so präzise für einen Kunden angepasst wird.

Die geografische Komponente ist vor allem in der modellgestützten Optimierung eine entscheidende Größe. Ein Beispiel mag dies verdeutlichen: Während die Fahrroutenoptimierung in nicht-geobasierten Modellen auf abstrakte Grundgrößen wie durchschnittliche Fahrtzeit von Ort zu Ort zurückgreifen muss, können in Modellen mit detaillierten geografischen Daten exakte Vorhersagen für die Fahrtdauer beim Einsatz unterschiedlicher Fahrzeuge der zur Verfügung stehenden Flotte errechnet und in die Planoptimierung eingespeist werden. Die Kopplung mit aktuellen Verkehrsdaten erlaubt sogar eine tagesabhängige Nachoptimierung und so eine noch bessere Anpassung der Fahrpläne an die realen Gegebenheiten.

Diese Verbesserungen können auch in vielen anderen Bereichen erreicht werden:

- Modellierung der Ausbreitung von Infektionserkrankungen in Abhängigkeit von regionalem Klima und Wetter
- Hochwasservorhersage auf Basis detaillierter Geländekarten
- Planung von Funknetzwerken unter Berücksichtigung von Bebauungsplänen

Der Zusammenhang zu geografischen Daten ist so offensichtlich, dass die Anbindung geografischer Informationssysteme oft selbstverständlich erscheint. Auf dem Modellierungstag wollen wir uns mit dieser Facette der Modellbildung beschäftigen und auf Schwierigkeiten bei der Modellerstellung, Risiken in der Datengenerierung und Chancen im wirtschaftlichen Einsatz eingehen. Experten aus Wissenschaft, Forschung und Praxis geben dazu Einblicke in aktuelle Projekte und neue Entwicklungen.

Die Veranstaltung ist öffentlich. Der Eintritt ist frei. Um Anmeldung bis zum 28. Januar 2018 wird gebeten.
Link for more information
Location:
Mathematikon, Konferenzraum (5/104), 5. Etage, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
14:00
ECTS-Points:
not yet determined
info  Academic English Language Workshop Jonathan Griffiths Nov 27, 2017, 10:00-12:00, 13:30-15:30 ECTS-Points: 1
Abstract, registration & information:
Who I am:
My name is Jonathan Griffiths (Jonnie). I have extensive experience in both freelance academic English-language proofreading and in tutoring of various kinds (workshops, classes, one-on-one tuition). I am simultaneously writing a PhD in Ancient Philosophy at UCL, UK.

Suggested Content and Breakdown of Workshop:
I am altogether flexible and happy to tailor an academic English-language workshop to the specific needs and requests of those in attendance. However, from my experience of the workshop environment in the past, I have often found it helpful to isolate certain core features of successful & stylish English writing technique. The below headings are only a handful of examples:

- Argumentation: use of connectives of different kinds (e.g. to contrast or rebut an argument previously made, to advance a complementary argument, to cross-reference and connect parts of your argument and written work together)
- Introductions & Conclusions
- Scholarly etiquette: acknowledging previous opinion, arguing against it in a professional manner; or creating an academic space for your own original contribution (e.g. to a scholarly field)
- Footing: shorthand and cross-reference (including correct use of Latin and/or abbreviated terms: see, cf. pp., ff., etc.)
- Writing Abstracts (or other materials that preface your main paper): tips & tricks to synthesise your argument into a digestible package (e.g. of 250 words or shorter).

Bitte hier anmelden

Max. Teilnehmerzahl 15 Personen
Location:
Mathematikon, Seminar Room 12, 5. floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
10:00
ECTS-Points:
1
info  Short Course: 20 Years Bromine Explosion - Atmospheric Chemistry in the Polar Troposphere Prof. Ulrich Platt, Prof. Eva Gutheil November 23-24, 2017 ECTS-Points: 1
Abstract, registration & information:
The short course concerns different aspects of the bromine explosion in the polar troposphere, which is associated with the ozone depletion in the polar spring. Both numerical simulations of the auto-catalytic chemical reaction mechanism as well as observations in field campaigns are addressed. The short course provides fundamental information on the physical and chemical processes involved. Moreover, the current status of research in this area as well as future research is emphasized.
Abstract (PDF)
Location:
Mathematikon, Conference Room (5/104), 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
13:15
ECTS-Points:
1
Events
info  Cancer Modelling Through Evolutionary Game Theory Prof. David Basanta & Dr. Jeffrey West February 5, 2018 / 14:00 ECTS-Points: not yet determined
Abstract, registration & information:
TBA
Link for more information
Location:
Mathematikon, Conference Room (5/104), 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
14:00
ECTS-Points:
not yet determined
info  Electrostatics in Protein Structure and Action Prof. Huan-Xiang Zhou Jan 24th, 2018 / 16:15 ECTS-Points: 0
Abstract, registration & information:
This talk will present a unifying theme among the various effects of protein charges and polar groups. Simple models will be used to illustrate basic ideas about electrostatic interactions in proteins, and these ideas in turn will be used to elucidate the roles of electrostatic interactions in protein structure, folding, binding, condensation, and related biological functions. In particular, I will examine how charged side chains are spatially distributed in various types of proteins and how electrostatic interactions affect thermodynamic and kinetic properties of proteins. Both important historical developments and recent experimental and theoretical advances in quantifying electrostatic contributions of proteins will be highlighted.
Abstract (PDF)
Link for more information
Location:
Mathematikon, Conference Room / 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
16:15
ECTS-Points:
0
info  10 Jahre Heidelberg Collaboratory for Image Processing (HCI) Prof. C.Rother 12.01.2018 / 13:00 Uhr ECTS-Points: not yet determined
Abstract, registration & information:
Die Bildverarbeitung am Interdisziplinären Zentrum für Wissenschaftliches Rechnen (IWR) hat sich über die Jahrzehnte aus kleinen Anfängen kontinuierlich und organisch weiterentwickelt. Von Anfang an war die Grundlagenforschung eng mit Applikationen aus den Umwelt- und Lebenswissenschaften und der Industrie verknüpft. Zehn Jahre erfolgreiche Zusammenarbeit zwischen Forschung und Industrie im HCI sind einen Rückblick auf das Konzept, die wichtigsten Forschungsergebnisse und einen Ausblick auf die Zukunft wert, in einer Sonderveranstaltung des Heidelberger Bildverarbeitungsforums und eines gemeinsamen Festkolloquiums der Fakultät für Physik und Astronomie und des IWR.

> Die Teilnahme ist kostenfrei - Anmeldung erforderlich <
Link for more information
Location:
Veranstaltungsort: Hörsaalgebäude Physik, Hörsaal 1, Im Neuenheimer Feld 308, 69120 Heidelberg
Time:
13:00
ECTS-Points:
not yet determined
info  Processes in Branching Networks - Modelling Structures in Plant Physiology and Blood Vessels in the Human Heart Dr. Somporn Chuai-Aree January 10, 2018 / 14:15 ECTS-Points: not yet determined
Abstract, registration & information:
Mathematical modelling and simulation of physiological processes in organs and organisms are confronted with the challenge that the processes take place in complex structures, often on branching networks. In this lecture we consider networks arising in plants (“trees”, root-systems, vessel systems in leaves) and in vascular systems - in particular in cardio vascular systems. We are going to focus on the following topics:

1. characterization of the arising complex networks and construction of a coding system, including the essential information required in real applications;
2. requirements for the data, methods for data collection and processing;
3. algorithms to solve the geometric inverse problem to determine from CT-data the geometry and the developed code of the underlying network;
4. presentation and discussion of results obtained in recent research at IWR for the blood vessel system for the human heart, based on real CT-data;
5. open problems, requirements from the applications.
Link for more information
Location:
Mathematikon, Seminar Room 12 / 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
14:15
ECTS-Points:
not yet determined
info  Stabilised Finite Element Methods for Variational Inequalities Prof. Rolf Stenberg January 10, 2018 / 16:15 ECTS-Points: 0
Abstract, registration & information:
We survey our recent and ongoing work [1,2] on finite element methods for contact problems. Our approach is to first write the problem in mixed form, in which the contact pressure act as a Lagrange multiplier. In order to avoid the problems related to a direct mixed finite element discretisation, we use a stabilised formulation, in which appropriately weighted residual terms are added to the discrete variational forms. We prove that the formulation is uniformly stable, which implies an optimal a priori error estimate. Using the stability of the continuous problem, we also prove a posteriori estimates, the optimality of which is ensured by local lower bounds. In the implementation of the methods, the discrete Lagrange multiplier is locally eliminated, leading to a Nitsche-type method [3].

For the problems of a membrane and plate subject to solid obstacles, we present numerical results.

Joint work with Tom Gustafsson (Aalto) and Juha Videman (Lisbon).

[1] T. Gustafsson, R. Stenberg, J. Videman. Mixed and stabilized finite element methods for the obstacle problem. SIAM Journal of Numerical Analysis 55 (2017) 2718–2744
[2] T. Gustafsson, R. Stenberg, J. Videman. Stabilized methods for the plate obstacle problem. https://arxiv.org/abs/1707.08396
[3] E. Burman, P. Hansbo, M.G. Larson, R. Stenberg. Galerkin least squares finite element method for the obstacle problem. Computer Methods in Applied Mechanics and Engineering 313 (2017) 362–374
Abstract (PDF)
Link for more information
Location:
Mathematikon, Conference Room / 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
16:15
ECTS-Points:
0
info  Mixed Finite Element Discretizations for Polyharmonic Equations Prof. Mira Schedensack December 15, 2017 / 11:15 ECTS-Points: not yet determined
Abstract, registration & information:
The splitting of poyharmonic equations into lower-order equations is subtle as the obvious splitting requires smoothness of the solution that might not be guaranteed by the elliptic regularity of the underlying PDE. This talk introduces a new splitting based on a Helmholtz-type decomposition. This splitting does only require the natural Sobolev regularity that is given by the weak formulation. The new mixed formulation allows for standard Lagrange ansatz functions of arbitrary polynomial degree. This talk will also state a posteriori error estimates and will illustrate the new method in numerical experiments. Applications include, e.g., the biharmonic problem from plate theory.
Link for more information
Location:
Mathematikon, Conference Room / 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
11:15
ECTS-Points:
not yet determined
info  Den mathematischen Blick öffnen - forschendes und dialogisches Lernen im Mathematikunterricht Prof. Brigitte Lutz-Westphal 13. Dezember 2017 / 16:15 ECTS-Points: 0
Abstract, registration & information:
Vortragsreihe Didaktik

Wo gibt es Mathematik zu entdecken? Wie kann der aktive und neugierige mathematische Blick von Lernenden gestärkt und erweitert werden? Dialogisches und forschendes Lernen sind zwei Ansätze für den Mathematikunterricht, die den individuellen Fragen, Ansätzen und Erarbeitungswegen der Lernenden Raum geben. Gleichzeitig gelingt es, ausgehend von alltäglichen, ja oft sogar eher banal erscheinenden Fragestellungen tiefergehend mathematisch zu arbeiten. Sehr häufig kommt man dabei sogar auf aktuelle mathematische Forschungsfragen. Nicht einfach ist die Frage, wie forschendes Lernen im Fach Mathematik überhaupt authentisch gestaltet werden kann. Es wird über aktuelle Forschung sowie über Erfahrungen aus der Lehramtsausbildung und der wissenschaftlichen Begleitung des Programms „Mathe.Forscher“ der Stiftung Rechnen berichtet. Der Vortrag bietet konkrete Unterrichtsideen und Anregungen für den Unterricht in den Sekundarstufen.
Abstract (PDF)
Link for more information
Location:
Mathematikon, Konferenzraum / 5. Stock, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
16:15
ECTS-Points:
0
info  The Vlasov-Maxwell Equations for Self-Consistent Electromagnetic Fields - Applications to Mathematical Simulation of Multicomponent Plasmas in a Target Trap Prof. Galina Lazareva December 4, 2017 / 16:00 ECTS-Points: 0
Abstract, registration & information:
A plasma target for high neutralization of powerful beams of negative ions is considered. The plasma is held in a magnetic trap with multipole magnetic walls. The inverse of the magnetic tube was proposed to limit the expiration of the plasma through the inlet and outlet ports in the target. Mathematical modeling of plasma dynamics in the trap was performed by the PIC method. The basic idea of the PIC method and new analytical tests for numerical models and codes are presented. Plasma distribution in the trap the efficiency estimate of particle confinement in the magnetic field were obtained. Simulation results were compared with experimental data.
Link for more information
Location:
Mathematikon, Conference Room / 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
16:00
ECTS-Points:
0
info  Invariant Manifolds for the Steady Boltzmann Equation Prof. Tai-Ping Liu December 1, 2017 / 14:15 ECTS-Points: 0
Abstract, registration & information:
The global flow picture for the steady Boltzmann equation is studied (jointly with Shih-Hsien Yu). The time-asymptotic analysis is based on explicit construction of the Green's function. For the resonance situation when one of the Euler characteristic speeds is near zero, there are coupling of Knudsen-type and fluid-like waves. The construction of Bifurcation and Sone Manifolds yields finite dimensional reduction of the center manifold. Fluid nonlinearity is recognized and applied to study the global flow picture.
Link for more information
Location:
Mathematikon, Seminar Room 8 / 4th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
14:15
ECTS-Points:
0
info  Optimal Control of a Body with Movable Internal Masses Prof. Felix Chernousko November 29, 2017 / 16:15 ECTS-Points: 0
Abstract, registration & information:
Motion of mobile robotic systems can be based on specific motions of auxiliary internal masses inside the main body of the robot. Such robots have no outward devices, can be hermetic and operate in various environment, including tubes, vulnerable or hazardous media. Control of rigid bodies by means of internal mobile masses can be useful also for spacecraft. Control of one-dimensional and two-dimensional motions of bodies with internal masses is discussed. Optimal controls for such systems are obtained.

Biography:

Professor Felix Chernousko is a specialist in optimal control, mechanics and robotics. He graduated from Moscow Institute of Physics and Technology and has been working at the Institute for Problems of Mechanics of the Russian Academy of Sciences in Moscow for many years. He had been the director of this institute from 2004 until 2015. Professor Chernousko has published more than 500 papers and 14 books on mechanics of spacecraft, optimal control and robotics. His last book was published by Springer in 2017. Chernousko is a Full Member of the Russian Academy of Sciences, the European Academy of Sciences, the International Academy of Astronautics, Fellow of the European Mechanics Society, Honorary Professor of the Moscow Institute of Physics and Technology and others. He is laureate of the Russian State Prize for Science (twice), the Körber European Science Prize, the Alexander von Humboldt Research Award, the Chaplygin Gold Medal of the Russian Academy of Sciences, the Euler Gold Medal and others. His recent publications are devoted to mobile robots.
Abstract (PDF)
Link for more information
Location:
Mathematikon, Conference Room / 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
16:15
ECTS-Points:
0
info  Uncertainty Quantification: Mathematical and Computational Aspects Prof. Elisabeth Ullmann Nov 15th, 2017 / 16:15 ECTS-Points: 0
Abstract, registration & information:
Uncertainty quantification (UQ) is a fast growing research area which deals with the impact of parameter, data and model uncertainties in complex systems. We focus on models which are based on partial differential equations (PDEs) with random inputs. For deterministic PDEs there are many classical analytical results and numerical tools available. The treatment of PDEs with random inputs, however, requires novel ideas and tools. We illustrate the mathematical and algorithmic challenges of UQ for Bayesian inverse problems arising from geotechnical engineering and medicine, and an optimal control problem with uncertain PDE constraints.

This talk is part of the HGS MathComp Ladyzhenskaya Lecture Series.
Abstract (PDF)
Link for more information
Location:
Mathematikon, Conference Room / 5th Floor, Im Neuenheimer Feld 205, 69120 Heidelberg
Time:
16:15
ECTS-Points:
0
info  Fixation Probabilities under Demographic Fluctuations Dr. Peter Czuppon November 9, 2017 / 16:00 ECTS-Points: 0
Abstract, registration & information:
We consider a population consisting of two species. Each type gives birth and dies independently of the other one. Population size is regulated by intra- and interspecific competition events letting the model follow generalized Lotka-Volterra dynamics. A quantity of interest in finite populations is the probability of fixation/extinction of one type. While it has been studied broadly in the context of fixed or deterministically varying population sizes we approximate the fixation probability in populations with stochastically fluctuating sizes. In order to do so we will take the limit of weak selection, i.e. the "fitness" benefit of one type over the other is very small.

This talk is organized by “Mathematics of Life” - a special interest group of doctoral students of the HGS MathComp.
Link for more information
Location:
Bioquant, SR 043, INF 267, 69120 Heidelberg
Time:
16:00
ECTS-Points:
0