Blar i Department of Mathematics på tittel
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On the relationship between multiple porosity models and continuous time random walk
(Conference lecture, 2010)We derive a multiple porosity model based on the continuous time random walk model (CTRW). In particular, we show how the parameters of the multiple porosity models relate to the transition probability function which is ... -
On the shoaling of solitary waves in the KdV equation
(Journal article; Peer reviewed, 2014)The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Korteweg-de Vries equation, a system of three ... -
On the Solution of the Solitary Wave Problem
(Department of Applied Mathematics report, Research report, 1997-07) -
On the Stability of a Magnetized Plasma with a Continuous Density Gradient in a Uniform External Force Field
(Department of Applied Mathematics report, Research report, 1964-06) -
On the stability of plane inviscid Couette flow
(Department of Applied Mathematics report, Research report, 1966-11) -
On the unique continuation of solutions to non-local non-linear dispersive equations
(Journal article; Peer reviewed, 2020)We prove unique continuation properties of solutions to a large class of nonlinear, non-local dispersive equations. The goal is to show that if u1,u2 are two suitable solutions of the equation defined in Rn×[0,T] such that ... -
On the uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations.
(Department of Applied Mathematics report, Research report, 2002-04) -
On the Uniqueness and Stability of Entropy Solutions of nonlinear degenerate parabolic Equations with rough Coefficients
(Department of Applied Mathematics report, Research report, 2000-05) -
On the use of the Richtmyer procedure to compute a finite amplitude sound beam from a piston source
(Department of Applied Mathematics report, Research report, 1987-04-03) -
On the use of vertically averaged models to simulate CO2 migration in a layered saline aquifer
(Master thesis, 2010-06-01)Geologic and flow characteristics such as permeability and porosity, capillary pressure, geologic structure, and thickness all influence and affect CO2 plume distribution to varying degrees. These parameters do not necessarily ... -
On weak solutions and a covergent numerical scheme for the compressible Navier-Strokes Equations
(Journal article, 2015-02-26)In this paper, the three-dimensional compressible Navier-Stokes equations are considered on a periodic domain. We propose a semi-discrete numerical scheme and derive a priori bounds that ensures that the resulting system ... -
Open-source MATLAB implementation of consistent discretisations on complex grids
(Peer reviewed; Journal article, 2011-08-02)Accurate geological modelling of features such as faults, fractures or erosion requires grids that are flexible with respect to geometry. Such grids generally contain polyhedral cells and complex grid-cell connectivities. ... -
An Open-Source Toolchain for Simulation and Optimization of Aquifer-Wide CO2 Storage
(Peer reviewed; Journal article, 2016-02-04)Planning and execution of large-scale, aquifer-wide CO2 storage operations will require extensive use of computer modelling and simulations. The required computational tools will vary depending on the physical characteristics ... -
An Operator Splitting Method for Convection-Diffusion Equations
(Department of Applied Mathematics report, Research report, 1996-01) -
Operator Splitting Methods for Degenerate Convection-Diffusion Equations I: Convergence and Entropy Estimates
(Department of Applied Mathematics report, Research report, 1999-10) -
Operator splitting Methods for degenerate Convection-diffusion Equations II: Numerical Examples with Emphasis on Reservoir Simulation and Sedimentation
(Department of Applied Mathematics report, Research report, 1999-12) -
Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies
(Peer reviewed; Journal article, 2001)Many numerical methods for systems of convection-diffusion equations are based upon an operator splitting formulation, where convective and diffusive forces are accounted for in separate substeps. We describe the nonlinear ... -
Oppfatningar og misoppfatningar i sannsyn: Ein mixed methods-studie av elevar på vidaregåande trinn – yrkesfagleg retning
(Master thesis, 2016-01)Denne masteroppgåva handlar om korleis elevar på vidaregåande trinn – yrkesfagleg retning forstår omgrep innafor sannsyn. Føremålet har vore å avdekkja kva oppfatningar og misoppfatningar elevane har og kva løysingsstrategiar ... -
«Oppfatter ikke matematikk som nyttig for min del, siden filmregissører har ikke særlig bruk for faget». En kvantitativ studie av Vg1-elever sine oppfatninger om matematikkfagets nytteverdi
(Master thesis, 2018-06-20)Elever sine oppfatninger om matematikk er med på å påvirke læringen i faget. I undervisningstimene kommer ofte spørsmålet om lærestoffet sin relevans opp, og hvilken nytteverdi eleven har av det som skal læres. Samtidig ... -
Optimal design of photovoltaic power plants
(Master thesis, 2018-05-30)The configuration of the photovoltaic panels is important to maximize the energy output of a photovoltaic power plant. In this thesis, I have developed an algorithm calculating the optimal solution for the design of a solar ...