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HGS MathComp - Where Methods Meet Applications

The Heidelberg Graduate School of Mathematical and Computational Methods for the Sciences (HGS MathComp) at Heidelberg University is one of the leading graduate schools in Germany focusing on the complex topic of Scientific Computing. Located in a vibrant research environment, the school offers a structured interdisciplinary education for PhD students. The program supports students in pursuing innovative PhD projects with a strong application-oriented focus, ranging from mathematics, computer science, bio/life-sciences, physics, and chemical engineering sciences to cultural heritage. A strong focus is put on the mathematical and computational foundations: the theoretical underpinnings and computational abstraction and conception.

HGS MathComp Principal Investigators are leading experts in their fields, working on projects that combine mathematical and computational methodology with topical research issues. Individual mentoring for PhD candidates and career development programs ensure that graduates are fully equipped to take up top positions in industry and academia.

Upcoming Events [see all...]

22.04.2024 - 25.04.2024
09:00 - 12:30
Theory & Methods
Romberg Course: Analytical Methods for Bayesian Inverse Problems Related to Partial Differential Equations
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Compact Courses
Speaker: Prof. Dr. Antonio Capella Kort • National Autonomous University of Mexico (UNAM) • Romberg Visiting Professor
Location: Mathematikon • Seminar Room 11, 5th floor • Im Neuenheimer Feld 205, 69120 Heidelberg
Registration: Please register here
Organizer: HGS MathComp
ECTS: 2
This course is part of the HGS MathComp Romberg Visiting Professor Program.

This lecture presents some basic topics on probability, Bayesian statistics theory, analytical results on partial differential equations (PDEs) and inverse problems. The combination of these methods led to general approaches that can be used to derive efficient and robust approximations to solve inverse problems with uncertainty quantification. By the end of this course, students will gain insights into how these methods contribute to providing more accurate and reliable schemes to solve inverse problems with uncertainty quantification.

In the practice sessions, we present specific inverse problems, allowing the students to actively engage with the material and develop practical solutions through coding exercises.

Syllabus:

- Introduction: mathematical models and inverse problems.
- Basic topics in probability theory and functional analysis.
- Inverse problems, Bayesian inference and uncertainty quantification.
- Existence and consistency (stability) of posterior distributions.
- Exploring the posterior and sampling methods.
- Stability estimates for linear PDEs and physically informed models.

- Day 1: 2 x 90 minutes sessions
- Day 2 to 4: 1 90 minutes session + 1 90 minutes practice session
 
23.04.2024
12:00 - 13:00
Key Competences
Lunch Time Python meets RSE* Coffee Hour
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Networking
Location: Mathematikon • Conference Room, Room 5/104, 5th Floor • Im Neuenheimer Feld 205 • 69120 Heidelberg
Organizer: Scientific Software Center (SSC)
ECTS: 0
Python is a very popular - maybe even the most popular - programming language among developers of scientific software. One of the reasons for this success story is the rich ecosystem of available (scientific) libraries. Lunch Time Python** aims at providing a communication platform between Pythonistas to learn about new libraries in an informal setting. Sessions take roughly 30 minutes, one library is presented per session and the code will be made available afterwards. Come by, enjoy your lunch with us and step up your Python game!

The RSE coffee hour aims to bring together RSEs at all career stages! Join us for a cup of coffee and chat about challenges and strategies for developing research software.

*Research Software Engineer (RSE) = someone who develops their own software as part of their
research
**https://ssciwr.github.io/lunch-time-python/
 
24.04.2024
14:30 - 16:40
Theory & Methods
HGS MathComp Membership Colloquium
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Colloquium
Location: Mathematikon • Conference Room, Room 5/104, 5th Floor • Im Neuenheimer Feld 205 • 69120 Heidelberg
Organizer: HGS MathComp
ECTS: 0
Introduction of new HGS MathComp members and their PhD projects.

The BlueSheet Meeting will be held online for all new members of HGS MathComp on April 30, 2024 between 14:00 - 15:00.

14:30 - Charles Hatfield (Supervisor J. Rockloev)
“Modeling of urban microclimate and mobility effects on mosquito abundance and vectorial competence”

14:50 - Hannah Weiser (Supervisor B. Höfle)
“It all starts with data – Improving machine learning-based point cloud algorithms for forest applications with synthetic training data generated by virtual laser scanning”

15:10 - Ronald Tabernig (Supervisor B. Höfle)
„Simulating laser scanning of dynamic virtual 3D scenes for improved 4D point cloud-based topographic change analysis“

15:30 - 10-minute break

15:40 - Niklas Reinhardt (Supervisor J. Zech)
“Domain Uncertainty Quantification”

16:00 - Marco Hübner (Supervisor L Maier-Hein)
“Spectral Image Synthesis for Training Intelligent Surgical Systems”

16:20 - Julian Niederer (Supervisor E. Kostina)
"Numerical Methods for Nonlinear Model Predictive Control for Control Problems with Blocks of Vanishing Constraints”