Department of Mathematics: Nye registreringer
Viser treff 21-40 av 968
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Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster
(Journal article; Peer reviewed, 2023)We consider a directed random walk on the backbone of the supercritical oriented percolation cluster in dimensions d+1 with d≥3 being the spatial dimension. For this random walk we prove an annealed local central limit ... -
Asymptotic N -soliton-like solutions of the fractional Korteweg–de Vries equation
(Journal article; Peer reviewed, 2023)We construct N-soliton solutions for the fractional Korteweg–de Vries (fKdV) equation ∂tu−∂x(∣D∣αu−u2)=0, in the whole sub-critical range α∈(1/2,2). More precisely, if Qc denotes the ground state solution associated ... -
Profunctors Between Posets and Alexander Duality
(Journal article; Peer reviewed, 2023)We consider profunctors f : P |−→Q between posets and introduce their graph and ascent. The profunctors Pro(P, Q) form themselves a poset, and we consider a partition I F of this into a down-set I and up-set F, called a ... -
Bruk av algoritmisk tenkning og programmering som stillas for å understøtte læringsarbeidet i matematikk: Om opplevd mestring og mestringsklima i klasserommet.
(Master thesis, 2024-06-03)Mestring er et begrep som har blitt løftet fram med Fagfornyelsen og LK20. Dette prosjektet har gått ut på å undersøke mestringsklima i klasserommet og elevenes mestringsopplevelse når de arbeidet med mine egenutviklede, ... -
Specifying and identifying signs of ‘resonance’ in teachers’ professionalization processes as a condition for teacher change
(Journal article; Peer reviewed, 2023)Many studies on professionalization research deal with the question of how teachers actually learn or how teacher change occurs. In this context, Clarke and Hollingsworth (2002) describe a model for capturing teacher change ... -
The influence of ready-made tools on students’ learning by modelling with differential equations systems
(Journal article; Peer reviewed, 2023)This article discusses the role played by the tool when students learn about differential equations systems (DE) by modelling. The discussion was based on a three-case sub-study of an ongoing study of group-reports from ... -
Discussion about the role of teacher authority when making a transition into creative problem-solving in mathematics
(Journal article; Peer reviewed, 2023)When introducing a new kind of teaching activity into the classroom, the teacher cannot foresee whether the students will accept it or not. Even when the students do, there is a risk, that they might be neither able nor ... -
Modelling secondary circulations in stratified bi-directional flows: A potential mechanism for flux transfer from lower to upper fluid layers
(Journal article; Peer reviewed, 2023)Results are presented for new laboratory-scale numerical simulations of bi-directional stratified flows generated within an idealized trapezoidal sill-channel topography, focussing on the lateral (or secondary) flow structure ... -
How currents trigger extreme sea waves. The roles of Stokes drift, Eulerian return flow, and a background flow in the open ocean
(Journal article; Peer reviewed, 2024)A deterministic system of ocean surface waves and flow in the oceanic boundary layer is key to understanding the dynamics of the upper ocean. For the description of such complex systems, a higher-order shear-current modified ... -
Numerical Method for 3D Quantification of Glenoid Bone Loss
(Journal article; Peer reviewed, 2023)Let a three-dimensional ball intersect a three-dimensional polyhedron given by its triangulated boundary with outward unit normals. We propose a numerical method for approximate computation of the intersection volume by ... -
An adaptive solution strategy for Richards' equation
(Journal article; Peer reviewed, 2023)Flow in variably saturated porous media is typically modeled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numerically. In this paper, we propose a robust and ... -
Who benefits from postponement in multi-period supply channel optimization?
(Journal article; Peer reviewed, 2024)Duopolistic price-setting supply channels competing in a bilevel framework have been extensively studied in single-period (static) settings. However, such supply channels typically face uncertain and time-varying demand; ... -
Statistical Embedding: Beyond Principal Components
(Journal article; Peer reviewed, 2023)There has been an intense recent activity in embedding of very high-dimensional and nonlinear data structures, much of it in the data science and machine learning literature. We survey this activity in four parts. In the ... -
Some recent trends in embeddings of time series and dynamic networks
(Journal article; Peer reviewed, 2023)We give a review of some recent developments in embeddings of time series and dynamic networks. We start out with traditional principal components and then look at extensions to dynamic factor models for time series. Unlike ... -
The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of sech2 solutions
(Journal article; Peer reviewed, 2024)In the context of the initial data and an amplitude parameter ε, we establish a local existence result for a highly nonlinear shallow water equation on the real line. This result holds in the space Hk as long as k > 5/2. ... -
Limited Link of Common Blood Parameters with Tinnitus
(Journal article; Peer reviewed, 2023)Background: Tinnitus severity is generally assessed by psychometric and audiological instruments. However, no objective measure exists to evaluate the subjective discomfort and suffering caused by this hearing phenomenon. ... -
Quantifying prior model complexity for subsurface reservoir models
(Journal article; Peer reviewed, 2023)In Bayesian approaches to history matching for subsurface inference, the prior model specifies the uncertain model parameters and the joint probability of those parameters before incorporating production-related data. A ... -
Rigorous derivation of some asymptotic models for free water surfaces and interfaces
(Doctoral thesis, 2024-04-26)Opprinnelsen til moderne matematisk hydrodynamikk kan spores tilbake til 1700-tallet. I 1757 publiserte Euler artikkelen der han introduserte ligninger, i dag kjent som Euler likningene, som kan beskrive væskedynamikk [31]. ... -
The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number
(Journal article; Peer reviewed, 2023)“A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another” [D. D. Joseph and Y. Y. Renardy, Fundamentals of Two-Fluid ... -
The weight spectrum of two families of Reed-Muller codes
(Journal article; Peer reviewed, 2023)We determine the weight spectra of the Reed-Muller codes RM (m− 3, m) for m ≥ 6 and RM (m − 4, m) for m ≥ 8. The technique used is induction on m, using that the sum of two weights in RM (r −1, m−1) is a weight in RM (r, ...