Institutt for matematiske fag
Recent Submissions
-
Precise Error Bounds for Numerical Approximations of Fractional HJB Equations
(Journal article, 2024)We prove precise rates of convergence for monotone approximation schemes of fractional and nonlocal Hamilton–Jacobi–Bellman equations. We consider diffusion-corrected difference-quadrature schemes from the literature and ... -
A Statistical Framework for Modelling Biodiversity Data
(Doctoral theses at NTNU;2023:424, Doctoral thesis, 2024) -
Optimal stability results and nonlinear duality for L∞ entropy and L1 viscosity solutions
(Journal article; Peer reviewed, 2024)We give a new and rigorous duality relation between two central notions of weak solutions of nonlinear PDEs: entropy and viscosity solutions. It takes the form of the nonlinear dual inequality: ˆ |Stu0−Stv0|ϕ0dx≤ ˆ ... -
On fully nonlinear parabolic mean field games with examples of nonlocal and local diffusions
(Journal article, 2024)We introduce a class of fully nonlinear mean field games posed in [0, T ] \times \BbbR d. Wejustify that they are related to controlled local or nonlocal diffusions, and more generally in oursetting, to a new control ... -
Design og analyse av undervisning om induksjonsprinsippet
(Master thesis, 2024)I denne studien har vi undersøkt et TDS-basert forskerspørsmål som er følgende: «Hvilke muliggjørende- og forhindrende faktorer kan påvirke elever i matematikk R2 sin mulighet til å anvende induksjonsprinsippet i en ... -
Key Exchange with Tight (Full) Forward Secrecy via Key Confirmation
(Journal article; Peer reviewed, 2024)Weak forward secrecy (wFS) of authenticated key exchange (AKE) protocols is a passive variant of (full) forward secrecy (FS). A natural mechanism to upgrade from wFS to FS is the use of key confirmation messages which ... -
Conditional likelihood inference for within-cluster effects
(Master thesis, 2024)Målet med denne oppgaven er å beskrive "between-within" metoden som en tilnærming til betinget sannsynlighetsinferens generaliserte lineære blandede modeller. Denne oppgaven deler inferensmetoder for slike modeller inn i ... -
Relative variable importance in Bayesian generalized linear mixed models with applications in quantitative genetics
(Master thesis, 2024)Som en av de mest brukte statistiske metodene, har regresjonsmodeller en fundamental posisjon i statistikk. En nøkkeldel av regresjonsanalysen er å skaffe inferens om kovariatene som brukes til å modellere responsvariabelen, ... -
Design og analyse av undervisning om induksjonsprinsippet
(Master thesis, 2024)I denne studien har vi undersøkt et TDS-basert forskerspørsmål som er følgende: «Hvilke muliggjørende- og forhindrende faktorer kan påvirke elever i matematikk R2 sin mulighet til å anvende induksjonsprinsippet i en ... -
Site-specific probabilistic forecast for avalanches
(Master thesis, 2024)Formålet med denne avhandlingen er å etablere og validere en statistisk metode for stedsspesifikk probabilistisk varsling for snøskred. En probabilistisk varsling er en varsling som kombinerer prediksjoner og usikkerheten ... -
A scalable approach for short-term disease forecasting in high spatial resolution areal data
(Journal article; Peer reviewed, 2023)Short-term disease forecasting at specific discrete spatial resolutions has become a high-impact decision-support tool in health planning. However, when the number of areas is very large obtaining predictions can be ... -
Algebraic Methods in Analysis and Topology
(Doctoral theses at NTNU;2024:339, Doctoral thesis, 2024)This thesis consists of two parts. Part I concerns the classification of unital minimal A∞-structures on graded vector spaces concentrated in degree 0, 1 and 2 up to equivalence. Here we give a complete description of every ... -
Study and research paths on differential calculus in teacher education
(Chapter, 2024) -
Modes of description and indicators of formalism in students' descriptions of eigenvectors
(Peer reviewed; Journal article, 2023)In the study presented in this paper, we investigate students' concepts of eigenvectors in an early stage of their education on linear algebra. The different descriptions used by the students for eigenvectors are analysed ... -
The norm of the backward shift on H1 is 2/sqrt(3)
(Peer reviewed; Journal article, 2024) -
Topics in Motivic and Toric Homotopy Theory
(Doctoral theses at NTNU;2024:368, Doctoral thesis, 2024) -
Cluster structures for the A<inf>∞</inf> singularity
(Peer reviewed; Journal article, 2023) -
Exceptional sequences in the derived category of a gentle algebra
(Peer reviewed; Journal article, 2023) -
On the existence of t-structures in triangulated categories
(Master thesis, 2024)Målet med denne oppgaven er å studere t-strukturer i triangulerte kategorier og vise at i visse situasjoner - når kategorien tillater såkalte støttedata - er de eneste eksisterende t-strukturene trivielle. Vi starter med ... -
Stabilized cut discontinuous Galerkin methods for advection–reaction problems on surfaces
(Journal article; Peer reviewed, 2023)We develop a novel cut discontinuous Galerkin (CutDG) method for stationary advection–reaction problems on surfaces embedded in Rd. The CutDG method is based on embedding the surface into a full-dimensional background mesh ...
RSS 2.0