Browsing Department of Mathematics by Title
Now showing items 763-782 of 1152
-
On the relation between wave conditions and mathematical properties of some asymptotic water wave models
(Master thesis, 2020-06-06) -
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 stability radius for linear time-delay systems
(Journal article; Peer reviewed, 2024)The exponential function that appears in the formula of the stability radius of linear time-delay differential systems is approximated by its Padé approximant. This reduces the computation of the level sets of singular ... -
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 ...