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Student Projects and Theses
Semester- und Diplomarbeiten, Bachelor & Master Projects
Available Student Projects: If interested please contact the lecturer offering the project.
Prof. Ralf Hiptmair
Master thesis projects (Diplomarbeiten)
- Master thesis/Diplomarbeit (MATH): Spectral lumping for discrete polar coordinates
- Master thesis/Diplomarbeit/Bachelor thesis (MATH,CSE): Plane wave basis dixcontinuous Galerkin schemes for acoustic scattering
- Master thesis/Diplomarbeit (MATH,CSE): Simulation of non-local electrostatics
- Master thesis/Bachelor thesis (Diplomarbeit): Asymptotic method for electrostatic force calculation
- Master thesis/Diplomarbeit/Bachelor thesis (CSE): Octree techniques for the construction of structured auxiliary meshes
- Master thesis/Diplomarbeit (MATH): Boundary layer resolution with potentials
- Master thesis/Diplomarbeit/Bachelor thesis (MATH): Fictitious Space AMG for Edge Elements
- Master thesis/Diplomarbeit/Bachelor thesis (MATH): Impedance Boundary Conditions in Time Domain
- Master thesis/Diplomarbeit/Bachelor thesis/Term project (MATH): Inexact implicit Euler timestepping on overlay meshes
- Master thesis/Diplomarbeit/Bachelor thesis (MATH,CSE): Computation of electrostatic forces by the virtual work method
- Master thesis/Diplomarbeit/Bachelor thesis (MATH): Domain decomposition through hybrid coupling
- Master thesis/Diplomarbeit/Bachelor thesis/Term project (MATH): Inexact implicit Euler timestepping on overlay meshes
- Master thesis/Diplomarbeit (MATH): Least Squares Based A-posteriori Error Estimators
Term projects (Semesterarbeiten)
- Bachelor thesis/term project (CSE,MATH): Non-equidistant approximate DFT based on Z-Splines
- Master thesis/Diplomarbeit/Bachelor thesis (MATH,CSE): Plane wave basis dixcontinuous Galerkin schemes for acoustic scattering
- Bachelor thesis/Term project (MATH,CSE): Numerical Study of Overlapping Schwarz Methods on Chimara meshes
- Master thesis/Diplomarbeit/Bachelor thesis/Term project (MATH): Inexact implicit Euler timestepping on overlay meshes
- Bachelor thesis/Term project (MATH): Local mode Fourier analysis of complex multigrid
- Bachelor thesis/Term project (CSE): Simulation of stationary currents in the presence of thin conducting sheets
- Bachelor thesis/Term project (MATH): Dispersion analysis of high-order schemes for the 1D wave equation
- Bachelor thesis/Term project (MATH,CSE): Numerical investigation of stable polynomial vector potentials
Prof. Christoph Schwab
Master thesis projects (Diplomarbeiten)
- Sparse FEM for transport PDEs
- Non-selfadjoint parametric eigenvalue problems
- Parallel implementation of a multidimensional FFT method for pricing options on baskets
- Implementation of parallel stochastic collocation FEM for stochastic PDEs
- Numerical solution of partial differential equations from finance
- Wavelet methods for asset pricing under jump-diffusions
- Wavelet FEM for problems with stochastic data
- Finite Element Methods for problems with stochastic data
- Wavelet filtering for exact controllability of wave equations
- Fast finite computation of Greeks in non-Gaussian markets
- Besov regularity of solutions of hyperbolic conservation laws
- Sparse tensor product FEM for stochastic PDEs
- Adaptive wavelet FEM for stochastic PDEs
- Besov regularity and adaptive nonlinear approximation of parabolic problems
- Besov Path Regularity of Feller-Lévy Processes
Term projects (Semesterarbeiten)
- Implementation of a parallel collocation FEM for transport PDEs
- Analysis and implementation of adaptive wavelet methods
- Discontinuous Galerkin FEM in 3D
Prof. Philipp Grohs
Bachelor or Master thesis projects
- Multiscale Edge Detection for Diffusion Tensor MRI
- Implementation of Novel Discretizations in Radiative Transfer
- Fourier-based ridgelet transform
- Gabor Discretization of the Schrodinger Equation
Term projects (Semesterarbeiten)
Note: Most projects are suitable for both students of mathematics and computational science and engineering.
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