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Faculty of Mathematics, Physics & Computer Science

Chair of Scientific Computing

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Module Overview

The elite master‘s course Scientific Computing offers a broad range of modules. They are grouped into the following six module areas:

A. Numerical MathematicsHide

Module A1: "Numerical Methods for Differential Equations" (6 ECTS)

Elective Module A2: "Advanced Topics in Numerical Mathematics" (0-16 ECTS)  

Currently, possible choices are

  • Module A2.1: "Numerical Methods for General Types of PDEs"
  • Module A2.2: "Constructive Approximation Methods"
  • Module A2.3: "Mathematical Control Theory"
  • Module A2.4: "Nonlinear Optimization"
  • Module A2.5: "Optimization with Differential Equations"

The modules A1, A2 and B1 are the foundation of the master's programme.

B. Modeling and SimulationHide

Module B1: "Applied Functional Analysis" (8 ECTS)

Elective Module B2: "Modeling and Simulation" (8-16 ECTS)

Currently, modules can be chosen from

  • Module B2.1: "Partial Differential Equations and Integral Equations"
  • Module B2.2: "Modeling with Differential Equations"
  • Module B2.3: "Mathematical Modeling for Climate and Environment"
  • Module B2.4: "Pattern Recognition"
  • Module B2.5: "Computational Biophysics"
  • Module B2.6: "Simulation of Biophysical Systems"
  • Module B2.7: "Bioinformatics: Molecular Modeling"
  • Module B2.8: "Foundations of Bioinformatics"
  • Module B2.9: "Higher Strengths of Materials"
  • Module B2.10: "Computer Aided Engineering"
  • Module B2.11: "Model Building and Simulation of Mechanical Systems"
  • Module B2.12: "Foundations of Data Management"

At least 8 ECTS must not stem from the mathematical curriculum.

Module B3: "Industrial Internship" (8 ECTS)

Either a 6 weeks industrial internship or another module from D1.

Module B4: "Modeling and Status Seminar" (8 ECTS)

Each year, a status seminar (winter term) and a one week modeling seminar (summer term) will be held.

  • In the status seminar students report their study status and the results of their own research.
  • In the modeling seminar students apply their abilities to complex real world problems.
C. High-Performance ComputingHide

Elective Module C1: "High-Performance Computing" (12 ECTS)

Currently, modules can be chosen from

  • Module C1.1: "Algorithms and Data Structures II"
  • Module C1.2: "Algorithms and Data Structures III"
  • Module C1.3: "Parallel and Distributed Systems I"
  • Module C1.4: "Parallel and Distributed Systems II"
  • Module C1.5: "High-Performance Computing"
  • Module C1.6: "Parallel Algorithms"
  • Module C1.7: "Programming and Data Analysis in Python"

Module C2: Practical course "Parallel Numerical Methods" (2 ECTS)

D. Scientific ComputingHide

Elective Module D1: "Complexity Reduction" (16-24 ECTS)

Currently, modules can be chosen from

  • Module D1.1: "Efficient treatment of Non-Local Operators"
  • Module D1.2: "Fast Methods for Differential and Integral Equations"
  • Module D1.3: "Efficient Treatment of Multiscale Problems"
  • Module D1.4: "Numerical Methods for Uncertainty Quntification"
  • Module D1.5: "High-dimensional Approximation"
  • Module D1.6: "Data Analytics"
  • Module D1.7: "Complexity Reduction in Control"
  • Module D1.8: "Meshfree Methods"
  • Module D1.9: "Boundary Element Methods"
  • Module D1.10: "Optimization Methods in Machine Learning"

Elective Module D2: "Special Skills in Scientific Computing" (4 ECTS)

A specialisation module from the research areas listed in D1 or A2.

E. Soft SkillsHide

Participation in seminars of in total 60 hours which improve key qualifications such as presentation techniques, scientific writing, teamwork, literature research and personality development. (2 ECTS)

F. Master's Thesis Hide

We encourage students to prepare their master's thesis in coorporation with industry or international experts. Students receive compensation for travel expenses during research stays. (30 ECTS)

In order to be a able to make a choice that is consistent with the examination regulations, we point out some constraints and dependencies among the modules.

  • While in A1 focuses on principles for basic types of partial differential equations, A2.1 is ground-laying for the numerical treatment of realistic problems. The projects presented by the members of the chair of Scientific Computing during the modeling seminars (B4) will require the knowledge taught in A2.1.
  • All students have to attend the Practical Course on Parallel Numerical Methods (C2) for which D1.1 and C1.3 are a prerequisite. This course is offered each year in the winter break. We recommend to participate in this course at the end of the first semester.
  • Notice that all students have to attend two courses of the applied modules B2.4-B2.12. At most 8 ECTS from the mathematical modules B2.1-B2.3 are taken account of.
  • Students have to participate in two modeling weeks and two status seminars (B4). Modeling weeks are conducted in the summer breaks, status seminars are carried out in the winter breaks.

More detailed information about the modules and the offered courses can be found in the Book of Modules and for special modules on the following webpages:       

     

Taking into account the semester in which the respective module is offered, we recommend the following schedule.

For those who have previously attended the modules A1 or B1 during their bachelor's course, we recommend the following schedules.

Schedule without A1Hide
Schedule without B1Hide

Webmaster: Massimo Pinzer-Braese

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