Blar i NTNU Open på forfatter "Holden, Helge"
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On the microscopic modeling of vehicular traffic on general networks
Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca (Peer reviewed; Journal article, 2020)We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is unidirectional, and the dynamics of each vehicle is described by a follow-the-leader model. ... -
On the two-component Hunter–Saxton system
Nordli, Anders (Doctoral theses at NTNU;2017:146, Doctoral thesis, 2017)In 1991 Hunter and Saxton introduced a novel equation related to the dynamics of liquid crystals. The equation exhibited startling properties, among them wave breaking in finite time. Here we study the effects of ... -
Operator splitting for the Benjamin-Ono equation
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik (Journal article; Peer reviewed, 2015)In this paper we analyze operator splitting for the Benjamin–Ono equation, ut=uux+Huxx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang ... -
Optimal non-linear solvers - Applications in reservoir simulation
Drejer, Svein Morten (Master thesis, 2014)This thesis starts by giving a general introduction to hydrocarbon reservoirs, before physical relations and mathematical tools used to model the flow of the fluid components in the porous media are presented. The resulting ... -
Permeability Upscaling Using the DUNE-Framework: Building Open-Source Software for the Oil Industry
Rekdal, Arne (Master thesis, 2009)In this thesis an open-source software for permeability upscaling is developed. The software is based on DUNE, an open-source C++ framework for finding numerical solutions of partial differential equations (PDEs). It ... -
Proof of the Equivalence of Weak Solutions of the Spatial and the Referential Formulations of Balance Laws
Kristoffersen, Maren Bråthen (Master thesis, 2023)Vi kan utlede en generell balanselov for alle ekstensive fysiske variabler ved å bruke prinsippet om at produksjonen av variabelen i et domene er balansert av fluksen av den samme variabelen over randen til domenet. Det ... -
Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald (Journal article; Peer reviewed, 2017)We provide a construction of the two-component Camassa– Holm (CH-2) hierarchy employing a new zero-curvature formalism and identify and describe in detail the isospectral set associated to all real-valued, smooth, and ... -
A Regularized System for the Nonlinear Variational Wave Equation
Reigstad, Audun (Doctoral theses at NTNU;2021:21, Doctoral thesis, 2021) -
Relaxation Systems with Applications to Two-Phase Flow
Solem, Susanne (Master thesis, 2014)Relaxation systems are widely studied and much used to describe nonequilibrium phenomena, occurring in, for example, two-phase flow. In this thesis we will therefore consider relaxation systems in one space dimension and ... -
Self-Force Reduced Finite Element Poisson Solvers for Monte Carlo Particle Transport Simulators
Åsen, David Kristian (Master thesis, 2016)The purpose of this master's thesis is to implement a Finite Element Poisson solver for a Monte Carlo particle transport simulator without the influence of self-forces. Self-forces are unphysical forces that come into ... -
Simulations of CO2 Migration with a Fully-Integrated VE Model on the GPU
Seternes, Guro (Master thesis, 2015)The reduction of carbon dioxide emissions is becoming an increasing global priority and is the subject of many current research projects. One of the possible solutions is geological carbon storage, in which CO2 is captured ... -
Spectral theory of random operators: The energy spectrum of the quantum electron in a disordered solid
Taraldsen, Gunnar (Dr. ingeniøravhandling, 0809-103X; 1992:89, Doctoral thesis, 1992) -
Stability of solutions to the Hunter-Saxton equation and well-posedness of coupled problems
Tandy, Matthew (Doctoral theses at NTNU;2023:239, Doctoral thesis, 2023) -
Strong solutions of a stochastic differential equation with irregular random drift
Karlsen, Kenneth Aksel Hvistendahl; Holden, Helge; Pang, Ho Cheung (Peer reviewed; Journal article, 2022)We present a well-posedness result for strong solutions of one-dimensional stochastic differential equations (SDEs) of the form where the drift coefficient is random and irregular, with a weak derivative satisfying for ... -
Survey of numerical methods for the Korteweg de Vries equation.
Haugen, Øystein Storaas (Master thesis, 2009)Numerical methods for solving The Korteweg-de Vries (KdV) equation are studied. Four main classes of numerical methods were implemented and tested; a semi-discretized finite difference method, an iterating finite difference ... -
The Cauchy problem for a model of immiscible gas flow with large data
Sande, Hilde (Doctoral Theses at NTNU, 1503-8181; 2009:4, Doctoral thesis, 2009) -
The classical Boussinesq hierarchy revisted
Gesztesy, Fritz; Holden, Helge (DKNVS Skrifter, 0368-6310; 2000:1, Research report, 1996) -
The general peakon-antipeakon solution for the Camassa-Holm equation
Grunert, Katrin; Holden, Helge (Journal article; Peer reviewed, 2016)We compute explicitly the peakon-antipeakon solution of the Camassa– Holm equation ut − utxx + 3uux − 2uxuxx − uuxxx = 0 in the non-symmetric and α-dissipative case. The solution experiences wave breaking in finite time, ... -
Thermal flow in fractured porous media and operator splitting
Dyrdahl, Joachim (Master thesis, 2014)Thermal flow in fractured porous medium is an area of interest for both the oil and the geothermal energy industry. The mathematical model consists of multiple equations, often various conservation laws and constitutive ... -
Towards a Parallel Multiphase Solver Based on Potential Ordering
Vikøren, Henrik (Master thesis, 2015)This thesis presents our work towards developing a parallel multiphase solver based on potential ordering. We begin the thesis by introducing the Fast Multiphase Solver, as developed by Natvig, Lie et al. . Then we, in ...