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Direct and indirect effects of a pH gradient bring insights into the mechanisms driving prokaryotic community structures
(Journal article; Peer reviewed, 2018)Background pH is frequently reported as the main driver for prokaryotic community structure in soils. However, pH changes are also linked to “spillover effects” on other chemical parameters (e.g., availability of Al, Fe, ... -
A direct construction of a full family of Whitham solitary waves
(Peer reviewed; Journal article, 2022)Starting with the periodic waves earlier constructed for the gravity Whitham equation, we parameterise the solution curves through relative wave height, and use a limiting argument to obtain a full family of solitary waves. ... -
The Direction of Updatable Encryption Does Not Matter Much
(Peer reviewed; Journal article, 2020)Updatable encryption schemes allow for key rotation on ciphertexts. A client outsourcing storage of encrypted data to a cloud server can change its encryption key. The cloud server can update the stored ciphertexts to the ... -
Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions
(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 ... -
Discontinous Galerkin Methods for Conservation Laws, - with and without fractional diffusion
(Master thesis, 2018)This thesis was submitted on July 5'th 2018 as the Master's thesis for Alexander N Sigurdsson in Industrial Mathematics at the Department of Mathematical Sciences at The Norwegian University of Science and Technology (NTNU). ... -
Discontinuous Galerkin Methods with Optimal Ordering for Fast Reservoir Simulation on General Grids
(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 ... -
Discrete conservation laws for finite element discretisation of multisymplectic PDEs
(Peer reviewed; Journal article, 2021)In this work we propose a new, arbitrary order space-time finite element discretisation for Hamiltonian PDEs in multisymplectic formulation. We show that the new method which is obtained by using both continuous and ... -
Discrete fourier analysis on lattice grids
(Journal article; Peer reviewed, 2019)Using group theory we describe the relation between lattice sampling grids and the corresponding non-aliasing Fourier basis sets, valid for all 1-periodic lattices. This technique enable us to extend the results established ... -
Discrete gradient methods in image processing and partial differential equations on moving meshes
(Doctoral theses at NTNU;2018:235, Doctoral thesis, 2018) -
Discrete Invariant Variational Problems
(Master thesis, 2011)This thesis studies variational problems invariant under a Lie group transformation, and invariant discretizations of these. In chapters two and three, a general method for creating symplectic integrators preserving certain ... -
Discrete Morse Theory and Simplicial Sets
(Master thesis, 2023)I denne oppgaven anvender vi konsepter og metoder fra teorien om simplisielle mengder til å studere diskret Morseteori. Vi fokuser på den diskrete flyt-kategorien introdusert av Vidit Nanda, og undersøker dens egeneskaper ... -
Discretizations of Wave Equations and Applications of Variational Principles
(Doctoral theses at NTNU;2020:331, Doctoral thesis, 2020) -
Discussion of "Virtual age, is it real?"
(Peer reviewed; Journal article, 2020)I congratulate the authors on this very interesting article discussing various aspects of the virtual age concept, which has been in active use in reliability and lifetime analyses for at least three decades. At the same ... -
Discussion of ‘Nonparametric generalized fiducial inference for survival functions under censoring’
(Journal article; Peer reviewed, 2019)The following discussion is inspired by the paper Nonparametric generalized fiducial inference for survival functions under censoring by Cui and Hannig. The discussion consists of comments on the results, but also indicates ... -
Disentangled Representations in Variational Autoencoders
(Master thesis, 2020)Dype generative modeller omfatter modeller som kombinerer ideer fra sannsynlighetsteori med fleksible dype nevrale nettverk som skalerer til høy-dimensjonale data. Å lære generative modeller som fanger en representasjon ... -
Disentangling synergistic disease dynamics: Implications for the viral biocontrol of rabbits
(Journal article; Peer reviewed, 2018)1. European rabbits (Oryctolagus cuniculus) have been exposed to rabbit haemorrhagic disease virus (RHDV) and myxoma virus (MYXV) in their native and invasive ranges for decades. Yet, the long‐term effects of these viruses ... -
Disentangling the effects of multiple environmental drivers on population changes within communities
(Journal article; Peer reviewed, 2018)1. The effects of different environmental drivers on the changes in species’ population abundances can be difficult to disentangle as they often act simultaneously. Researchers have built statistical models that include ... -
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows
(Journal article; Peer reviewed, 2018)This paper concerns an extension of discrete gradient methods to finite-dimensional Riemannian manifolds termed discrete Riemannian gradients, and their application to dissipative ordinary differential equations. This ... -
Distributions, Schwartz Space and Fractional Sobolev Spaces
(Master thesis, 2013)This thesis derives the theory of distributions, starting with test functions as a basis. Distributions and their derivatives will be analysed and exemplified. Schwartz functions are introduced, and the Fourier transform ... -
Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines
(Journal article; Peer reviewed, 2015)To solve the incompressible flow problems using isogeometric analysis, the div-compatible spline spaces were originally introduced by Buffa et al. (2011), and later developed by Evans (2011). In this paper, we extend the ...