Licentiate Thesis / Licentiatuppsatser Institutionen för matematiska vetenskaper
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Sharp bounds on the height of some arithmetic Fano varieties
(2023)In the framework of Arakelov geometry one can define the height of a polarized arithmetic variety equipped with an hermitian metric over its complexification. When the arithmetic variety is Fano, the complexification is ... -
The influence of numbers when students solve equations
(2023)Is it possible that some students’ primary difficulty with equation-solving is neither handling the literal symbols nor the equality, but the numbers used as coefficients? It is well known that many students find algebra ... -
Numerical approximation of mixed dimensional partial differential equations
(2023)In this thesis, we explore numerical approximation of elliptic partial differential equations posed on domains with a high number of interfaces running through. The finite element method is a well-studied numerical method ... -
Resampling in network modeling of high-dimensional genomic data
(University of Gothenburg and Chalmers University of Technology, 2017)Network modeling is an effective approach for the interpretation of high-dimensional data sets for which a sparse dependence structure can be assumed. Genomic data is a challenging and important example. In genomics, ... -
A two-stage numerical procedure for an inverse scattering problem
(Chalmers University of Technology and University of Gothenburg, 2015)In this thesis we study a numerical procedure for the solution of the inverse problem of reconstructing location, shape and material properties (in particular refractive indices) of scatterers located in a known ...
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