Blar i NTNU Open på forfatter "Holden, Helge"
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Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik (Journal article, 2015)We prove convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation. Both the decaying case on the full line and the periodic case are considered. If the initial data u|t=0 = u0 is of high ... -
Convergence of Many Particle Approximations of Lighthill-Whitham-Richards Models with Total Variation Blow-Up
Storbugt, Halvard Olsen (Master thesis, 2022)I denne prosjektrapporten studeres konvergens av Følg-Lederen (FL) modellen av første orden mot løsningen av Lighthill-Witham-Richards (LWR) modellen. Jeg studerer to generaliseringer av LWR modellen der løsningen har ... -
Development of an immersed boundary method for simulating contaminated fluid interfaces in two-phase flow
Lysgaard, Morten Olsen (Master thesis, 2015)This thesis covers the theory and implementation, verification and validation of an immersed boundary method for simulating the effect of an elastic membrane covering water drops in crude oil. First an introduction to ... -
Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger (Journal article; Peer reviewed, 2016)We introduce a generalized index for certain meromorphic, unbounded, operator-valued functions. The class of functions is chosen such that energy parameter dependent Dirichlet-to-Neumann maps associated to uniformly elliptic ... -
Discontinuous Galerkin Methods with Optimal Ordering for Fast Reservoir Simulation on General Grids
Røe, Ola Iver (Master thesis, 2006)This thesis presents a fast solution strategy for a class of hyperbolic transport equations modelling flow in porous media. The basis of the strategy is discontinuous Galerkin schemes which combined with a numerical flux ... -
Discretizations of Wave Equations and Applications of Variational Principles
Galtung, Sondre Tesdal (Doctoral theses at NTNU;2020:331, Doctoral thesis, 2020) -
Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian (Peer reviewed; Journal article, 2021)An evolutionarily stable strategy (ESS) is an evolutionary strategy that, if adapted by a population, cannot be invaded by any deviating (mutant) strategy. The concept of ESS has been extensively studied and widely applied ... -
Fare inspection optimization in train networks
Krogvig, Lars Bakke (Master thesis, 2014)In this thesis we present the inspector scheduling problem set in the local train network around Oslo serviced by Norges Statsbaner (NSB). We review current literature on the subject and present our own solution method ... -
Fast estimation of pressure propagation on general grids
Halmøy, Cecilia Forshei (Master thesis, 2015)To optimize reservoir recovery, estimating drainage volume for different well scenarios to find optimal well locations, is crucial. Knowing the pressure propagation for different well scenarios we can use this to estimate ... -
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow
Holden, Helge; Risebro, Nils Henrik (Journal article; Peer reviewed, 2018) -
Front Tracking for Hyperbolic Conservation Laws
Holden, Helge; Risebro, Nils Henrik (Applied mathematical sciences;, Book, 2015) -
Full implicit WENO scheme for two phase flow in reservoir simulation
Knudsen, Thea (Master thesis, 2014)This master thesis studies the use of essentially non-oscillatory schemes for the spatial discretization in a full implicit two-phase flow model used to solve flow and transport in porous media. The implicit model is based ... -
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
Grunert, Katrin; Holden, Helge; Raynaud, Xavier (Journal article, 2014)We show the existence of a global weak dissipative solution of the Cauchy problem for the two-component Camassa–Holm (2CH) system on the line with nonvanishing and distinct spatial asymptotics. The influence from the second ... -
Global existence of dissipative solutions to the Camassa--Holm equation with transport noise
Galimberti, Luca; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung (Peer reviewed; Journal article, 2023)We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa–Holm equation perturbed by a convective, position-dependent, noise term. We establish the first global-in-time ... -
Global well-posedness of the viscous Camassa–Holm equation with gradient noise
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung (Peer reviewed; Journal article, 2022)We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa–Holm type) perturbed by a convective, position-dependent noise term. We establish the ... -
High-Order Schemes for the Shallow Water Equations on GPUs
Berglie, Espen Graff (Master thesis, 2013)In this thesis, well-balanced, central-upwind high-resolution methods of high order are developed for the two-dimensional shallow water equations, on the graphics processing unit (GPU). The methods are based on a fifth-order ... -
The Hunter-Saxton equation with noise
Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung (Peer reviewed; Journal article, 2021)In this paper we develop an existence theory for the Cauchy problem to the stochastic Hunter–Saxton equation (1.1), and prove several properties of the blow-up of its solutions. An important part of the paper is the ... -
Investigating the Continuum Limit of a Follow-The-Leader Model with Inhomogeneous Road Conditions
Sökjer, Gudmundur Daniel Hannibal (Master thesis, 2018)An investigation of the continuum limit of Follow-the-Leader model with inhomogeneous road conditions and its relation to the LWR model. In the special case when the flux function have one discontinuity that decreases the ... -
Isentropic fluid dynamics in a curved pipe
Colombo, Rinaldo M; Holden, Helge (Journal article; Peer reviewed, 2016)In this paper we study isentropic flow in a curved pipe. We focus on the consequences of the geometry of the pipe on the dynamics of the flow. More precisely, we present the solution of the general Cauchy problem for ... -
Krylov Subspace Accelerated Algebraic Multigrid for Mimetic Finite Differences on GPUs
Lønsethagen, Simen Andreas Andreassen (Master thesis, 2012)The topic of this thesis is GPU accelerated sparse linear algebra for subsurface reservoir modeling. Numerical techniques for reservoir sim- ulations are described and we present the open source reservoir simula- tion ...