Open master projects
This is a list of open master projects in Section 4. If you are interested in a project, please contact the project supervisor given in the left column.
| Supervisor | Project description |
|---|---|
| K. Karlsen |
Cardiac bidomain model with fractional diffusivities (2 master projects) |
| U. S. Fjordholm | |
| U. S. Fjordholm | |
| H. Hoel | |
| G. Dahl |
Completed master projects
This is a list of master projects supervised by members of Section 4 (Computational Mathematics and Partial Differential Equations) since 2011. The columns show year of graduation, title of the thesis, and supervisor.
| Year | Title | Sup. |
|---|---|---|
| 2021 | ØR | |
| 2021 | On recent advances in compressed sensing | ØR |
| 2021 | Finite-volume methods with dense neural networks | USF |
| 2011 | Interpolatory surface subdivision | MF |
| 2013 | Boundary conditions for interpolatory subdivison | MF |
| 2017 | Nonlinear interpolatory curve subdivision schemes | MF |
| 2017 | Transfinite surface interpolation over irregular n-sided domains | MF |
| 2011 | Modellering av diffusjon av nevrotransmittere i den ekstracellulære vesken | SC |
| 2015 | Stability of upwind mixed discretizations of convection diffusion equations | SC |
| 2015 | Plane Wave Semi-Continuous Galerkin method for the Helmholtz equation | SC |
| 2014 | Applications of compressed sensing in computational physics | ØR |
| 2016 | Coherence estimates between Hadamard matrices and Daubechies wavelets | ØR |
| 2016 | Sparse Matrix Storage Schemes with OpenCL for a Linear System arising from a Discrete Model of Elasticity | ØR |
| 2018 | Recommender systems analysis by compressed sensing | ØR |
| 2018 | Iterative Algorithms in Compressive Sensing | ØR |
| 2018 | Compressed Sensing and the Quadratic Bottleneck Problem: A Combinatorics Approach | ØR |
| 2019 | Krylovmetodar for strukturerte lineære system | ØR |
| 2019 | Parseval Reconstruction Networks | ØR |
| 2019 | Stability of Adaptive Neural Networks for Image Reconstruction | ØR |
| 2020 | Can everything be learned? Recovery of highly sparse images using deep neural networks | ØR |
| 2021 | Computational barriers in statistical estimation and reconstruction | ØR |
| 2018 | NHR | |
| 2020 | Løyse PDE ved hjelp av nevrale nettverk | NHR |
| 2011 | Convergence of a Relaxation Scheme for a 2x2 Triangular System of Conservation Laws | NHR |
| Portfolio optimization with Conditional Value-at-Risk constraints | GD | |
| Risk - reward optimization; illustrated with Conditional Value-at-Risk | GD | |
| Dobbeltstokastiske matriser, Skalering og Rangering | GD | |
| Applications of Directed Algebraic Topology in Optimization Theory | GD | |
| Ranking and Hillside Form | ||
| Numerical Methods for Solving the Fastest Mixing Markov Chain Problem | GD | |
| Trafikktilordning og Optimering | GD | |
| Optimization in l1- norm for Sparse Recovery | GD | |
| Optimale randbetingelser for det diskrete Laplace-problemet | GD | |
| Optimising airside operations of an airport for punctuality and stability | GD | |
| The northern European gas market as a linear programming model | GD | |
| Arrival, departure and surface management of flights by exploiting the network simplex algorithm | GD | |
| The Fastest Mixing Markov Chain | GD | |
| Doubly Stochastic Matrices and the Assignment Problem | GD | |
| On solving the inverse problem of intensity modulated radiation therapy | GD | |
| Numerical methods for the Camassa Holm equation | KHK | |
| Portfolio Optimization in a Jump-Diffusion Market with Durability and Local Substitution: A Penalty Approximation of a Singular Control Problem | KHK | |
| Pricing the American Put Option by the Method of Zhu | KHK | |
| The bidomain equations of cardiac electrophysiology: Homogenization and stochastic forcing | KHK | |
| Partial Differential Equation Models of Active Transport in Neuronal Axons | KHK | |
| Nonlinear Compactness Effects of Scalar Conservation Law | KHK | |
| Analysis of the power penalty method for American options using viscosity solutions | KHK | |
| Pricing Perpetual American Options with Linear Programming | KHK | |
| Convergence of penalty methods for American options. Variational solutions and the compactness method | KHK |