Theses

Theses (Diplom-, Bachelor-, Masterarbeiten)

• Automatic Differentiation (AD)
• Parallel Computing (PC)
• High-Performance Computing (HPC)
• Computational Science and Engineering (CSE)
• Virtual Reality (these theses are offered in close collaboration with the Virtual Reality Group of the Center for Computing and Communication. Please point your browser to the corresponding page)

• Automatic Differentiation of the BLAS (AD)
• Automatically Tuning Code for Supporting Libraries of AD (AD)
• Automatically Differentiating Trust Region Algorithms (AD)
• Dynamically Balancing SPAI (PC)
• Designing a MATLAB Class for the Computation of the Non-Zero Pattern of a Sparse Jacobian Matrix
• Implementing a Tool for Automatic Differentiation of Fortran using an existing Tool for C/C++ (AD)
• Parallel algorithms for solving large, sparse linear equation systems (PC)
• Graph coloring for partial Jacobian computation (AD,PC,CSE)

Here is a list of completed theses:

• 07/2010: R. Altenfeld: Encapsulated OpenMP Parallelization of an Iterative Linear Equation Solver Used in a Phase Transition Simulation
• 03/2010: X. Huang: Semantic Transformation of Domain-Specific Engineering Models
• 09/2009: C. Schleiden: Exploiting Object Orientation to Parallelize and Optimize C++ Applications
• 08/2009: T. Henrich: Loadbalancing for Parallel Simulations of Fluids
• 07/2009: D. Schmidl: Placement of OpenMP Programs on Hierarchical Memory Architectures
• 03/2009: A. Jäger: Algorithms for Special Graph Colouring Problems in the Computation of Jacobian Matrices
• 02/2008: Y. Qiu: Program Transformation of a Numerical Optimisation Algorithm for the Sensitivity Analysis of the Optimal Solution
• 11/2007: P. Kapinos: Recursions in the Multilevel Parallelization of Simulating Machine Tools and Cutting Processes with OpenMP
• 07/2007: N. Guertler: Parallel Automatic Differentiation of a Quantum Plasma Code
• 03/2007: J. Wu: Exploting the Jacobian Structure in a Simulation of a Flow Field around a Ramp Geometry
• 03/2007: J. Willkomm: Efficient Automatic Differentiation of Derivatives for a Heat Transfer Simulation by Exploiting Program Structure
• 09/2006: M. Lülfesmann: Graph Coloring for Partial Jacobian Computation
• 09/2006: X. Zhang: Improving the Performance of Derivative Computations in MATLAB
• 10/2005: A. El-Shekh: Automatic Generation of MATLAB Gateway Functions for Coupling AD Tools and Tuning Applications
• 09/2004: A. Kossjanskij: Parallel Block-Iterative Algorithms for the Solution of Linear Systems
• 04/2003: A. Kienitz: Analysis of Taylor Models for the Verified Solution of Systems of Equations
• 11/2002: A. Wolf: Hybrid Parallelization of Iterative Solvers for Sparse Linear Systems
• 06/2002: K. Schulte Althoff: Algorithms for Verified Solution of Nonlinear Systems
• 04/2002: T. Beelitz: Techniques for Enclosing the Range of Functions and Derivatives
• 11/2001: A. Vehreschild: Semantic Augmentation of MATLAB Programs to Compute Derivatives
• 07/2000: A. Rasch: Eine Umgebung zum Rapid Prototyping von Optimierungsproblemen

Studienarbeiten

• Feel free to contact C. Bischof or M. Bücker.