Mathematical Modeling and Simulation

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Mathematical Modeling and Simulation

(student project, focus: Hardware-oriented Numerics)

Course rate

Bachelor: Once per year (starting in summer).

Master: Once per year (starting in summer or winter).

Course duration

Bachelor: Two semesters. Master: One semester.

Course audience

Undergraduate (Bachelor and Master). Course track: Technomathematik, Mathematik, others (possible).

Description

In these student projects, we introduce the concept of 'Hardware-oriented Numerics', where hardware-efficiency, numerical efficiency and energy-efficiency are addressed simultaneously in the development of numerical simulation software. Here, students learn to run a full software (and even sometimes hardware) development cycle. In the course of the project we will provide you insight into cutting-edge programming and hardware technologies centered around modern parallel and heterogeneous compute ressources. In the core learning phase we will teach you

  • Parallel hardware architectures (x86, GPGPUs, Power, ARM-based SoCs)
  • SIMD parallelism and vectorization of numerical software components
  • multicore and shared memory parallelism and OpenMP / pThreads / c++11 threads
  • GPU acceleration of numerical software, especially programming with CUDA (as well as cuSparse, cuSolver, cuBLAS)
  • distributed memory parallelism including programing approach (MPI), as well as mathematical methods (such as Domain Decomposition)
  • performance engineering techniques on the node and cluster levels

Preliminaries

You should have good programming skills in C/C++. The faculty programming course will offer this. Other equivalent courses maybe good as well. Numerics I (and maybe II) would be good.

Current iteration

GPGPU-accelerated simulation of Shallow-Water Flows

Course date and location (Summer 2016, winter 2016/2017)

  • Date: Fixed weekly project meeting (To be published)
  • Place: Project rooms, PAV10
  • Lecturer(s): Markus Geveler
  • Organizers / Advisors: Markus Geveler, Stefan Turek

To project website

Course date and location (Winter 2015/2016)

  • Date: Fixed weekly project meeting (To be published)
  • Place: Project rooms, PAV10
  • Lecturer(s): Markus Geveler
  • Organizers / Advisors: Markus Geveler, Stefan Turek

Course material

To be published.

Registration and contact

Please contact us directly via email.

Last iteration

Future Data Centers for Energy-Efficient Large Scale Numerical Simulations - On the need for a combination of Hardware-oriented Numerics with Unconventional HPC (a case study with NVIDIA Tegra K1)

Course date and location (Winter 2015/2016)

  • Date: Fixed weekly project meeting (Wednesday, 14:15)
  • Place: Project rooms, PAV10
  • Lecturer(s): Markus Geveler
  • Organizers / Advisors: Markus Geveler, Stefan Turek

Course material

Please see the student project's homepage.

Registration and contact

Please contact us directly via email.