Numerics

Numerik

Numerical mathematics: Spreading of a water front in a heterogeneous porous medium.

Permeability data: Christie, M. A., and M. J. Blunt. "Tenth SPE comparative solution project: A comparison of upscaling techniques." SPE Reservoir Simulation Symposium. Society of Petroleum Engineers, 2001. http://www.spe.org/web/csp/datasets/set02.htm

Numerical mathematics and scientific computing are areas in the field of applied mathematics. Here we project and analyze efficient and precise algorithms for a multitude of problems, and implement them using modern supercomputers.

Often, our work involves emulating highly complex processes in nature and technology with the aid of computer simulations, predicting and steering these, as well as estimating the process parameters. To this purpose, we use methods from analysis, stochastics, optimization and computer science, and combine these with tools and models from applied sciences such as engineering and physics. 

 

Research Areas

Our numeric groups at the TUM research theoretical foundations and develop efficient algorithms, which are used, for example, in the following areas:  

  • Multiphase flows
  • Tumor growth
  • Quantum and molecular dynamics
  • Medicinal technology
  • Digital image processing
  • Plasma Physics

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