## 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 |