Information for master students


Graduating in the numerical analysis group (chair C. Vuik).
In the investigation of physical, biological and economical phenomena numerical mathematics and computer simulations play an important role. As an example, we show a detail of the blood flow near a heart valve (video 1 and video 2).

In order to simulate such phenomena, a mathematical model of the reality is set up. Mathematical research is necessary to validate such a model. For this, results, principles and techniques from mathematical analysis are often used. The model should, of course, be an adequate representation of the reality. The necessary knowledge to judge this may be obtained from mathematical physics (biology, economy). Numerical mathematics is then the basis to solve the mathematical model efficiently and accurately. The solution is typically obtained by a computer simulation.

During a graduation at the chair for numerical analysis, the topics analysis, mathematical physics, linear algebra are treated. Most important is, however, the numerical analysis. The Master's thesis research can take place in a variety of topics in numerical mathematics, for example, in reducing numerical errors (of a problem's discretization, for example), or to improve the efficiency of a solution process, to analyse the convergence behaviour of an iterative solution method, or in parallel computing. The numerical questions always arise from practical applications.

If you would like to graduate in the numerical analysis group, the typical procedure is as follows:

Possibilities for Master projects
At this moment there are a number of Master projects available. It is possible to formulate new projects where we take wishes of a masters student into account.
  1. There are a couple of MSc projects available within a collaboration between the TU Delft and Shell. The supervisor for these projects is: Johan Romate
  2. Help watertekorten en verzilting in polders tegengaan! (Acacia Water )
  3. Next-Generation Heat Recovery "Non-condensable gas in two-phase dynamic simulation" (NEM Energy B.V.)
  4. Distributed Alternating Current (AC) power flow with limited information
  5. Mathematical models for simulating large cell colonies in parallel computer environments: application to angiogenesis and cancer metastasis (Vortech)
  6. Efficient computation of slamming loads through zonal modeling (HMC)
  7. Double Wake implementation for thick trailing edge wind turbine airfoils (ECN)
  8. New Wanda matrix solver (Deltares)
  9. Interpolating Wavelet Optimised Finite Differences
    (NAG Numerical Algorithms Group, United Kingdom)
  10. Energy-efficient multigrid solution strategies and their application in dataflow computing
  11. Advancement of a 1D Spline-based higher order Material Point Method to 2D
  12. Benchmarking and Parallelizing linear (IDR) solvers (ASML)
    For more details see the ASML description.
  13. Numerical methods for crowds
  14. Traffic flow simulation: who takes the fast lane?
  15. The contact model for wheel rail interaction (Vortech)
  16. Fast Helmholtz solvers for seismic problems (Shell)
  17. Developing a modelling tool for offshore vessels (Mocean offshore)
  18. Full-waveform inversion using an efficient frequency-domain solver
  19. There are two master projects available on smart grids in collaboration with Ecofys Berlin: Speeding up a Risk-based Security Assessment Method for Electrical Power Systems and Towards Smart Grids: Performing Case studies with a Risk-based Security Assessment Methodology .
  20. Positivity-preserving Runge-Kutta Algebraic Flux Correction Schemes for Scalar Conservation Laws with Discontinuous Fluxes (TU Delft and Shell )
  21. Numerical solution of a saddle point linear system ( TU Delft: Department of Geoscience and Remote Sensing )
  22. High-performance Computing for Topology Optimization
  23. CFD - Thermal mixing (NRG)
  24. Mathematical Modeling of Plant Response to Environment (HZPC)
  25. Mathematics of SNPs to Phenotype Map (HZPC)
  26. Mathematical Modeling for the Production of Special Purpose Cement (Almatis)
  27. CFD calibration of a flowmeter (VSL)
  28. Preconditionering van het Multi Level Fast Multipole Algorithm Verbetering van de efficiency van radarsignatuur analyse methoden (Dutch) (NLR)
  29. Development of a full wave code for electron cyclotron wave propagation and absorption
  30. Evaluating the EWI Wind Tunnel Performance
  31. Solving Integral Equations Faster using GPU's
For further information about these project and graduation at the chair Numerical Analysis we refer to: Kees Vuik Kees Oosterlee Fred Vermolen Martin van Gijzen Duncan van der Heul
Dr. Domenico Lahaye
Dr. Matthias Moller
Dr. Neil Budko
Dr. Jennifer Ryan
Dr. J. Romate D. den Ouden

Previous Master projects
Below is a list of previous Master projects

How to deal with computer problems?

Additional information

Contact information: Kees Vuik

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