Blar i Institutt for matematiske fag på tittel
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Recollections of V. S. Varadarajan
(Peer reviewed; Journal article, 2020)Known to friends, students, and colleagues just as Raja, Veeravalli Seshadri Varadarajan (born May 18, 1937) was a mathematician of Indian origin who made foundational contributions to multiple fields, including probability, ... -
Recommendations for quantitative uncertainty consideration in ecology and evolution
(Peer reviewed; Journal article, 2023)Ecological and evolutionary studies are currently failing to achieve complete and consistent reporting of model-related uncertainty. We identify three key barriers – a focus on parameter-related uncertainty, obscure ... -
Recovering a Variable Exponent
(Journal article; Peer reviewed, 2021) -
Rectangular Summation of Multiple Fourier Series and Multi-parametric Capacity
(Peer reviewed; Journal article, 2021)We consider the class of multiple Fourier series associated with functions in the Dirichlet space of the polydisc. We prove that every such series is summable with respect to unrestricted rectangular partial sums, everywhere ... -
Recurrent Neural Network for Learning and Reproducing Movements
(Master thesis, 2007)In this thesis I study how movements can be learned and stored by a recurrent neural network. Also I investigate how a movement can be associated with an external context, and wether this can be used to produce movements ... -
Reduced basis methods for parametrized partial differential equations
(Doctoral Theses at NTNU, 1503-8181; 2011:140, Doctoral thesis, 2011) -
Reduced Basis Methods for Partial Differential Equations: Evaluation of multiple non-compliant flux-type output functionals for a non-affine electrostatics problem
(Master thesis, 2008)A method for rapid evaluation of flux-type outputs of interest from solutions to partial differential equations (PDEs) is presented within the reduced basis framework for linear, elliptic PDEs. The central point is a ... -
Reduced basis modeling of hierarchical flow systems
(Doktoravhandlinger ved NTNU, 1503-8181; 2005:212, Doctoral thesis, 2005)In this thesis we consider the reduced basis element method for approximating the solution of parameter dependent problems described by partial differential equations. In particular we focus on fluid flow in pipes, ... -
Reduced Order Modeling Techniques for Non-Affine Problems in Solid Mechanics
(Master thesis, 2022)For å aktivere den fulle kraften til offline-online konseptet i Redusert Ordens Modellering (ROM), må det parametriserte problemet være affint under variasjon av parameterne. Imidlertid er mange relevante problemer, spesielt ... -
Reduced Order Modelling of Component Based Analysis for Stokes Flow
(Master thesis, 2021)En parameteravhengig versjon av Stokes Partielle Differensialligning (PDE) undersøkes, med et mål om å modellere flyt i et villkårlig rørsystem. Rørsystemet bygges opp av subdomener kalt komponenter eller erketyper. Stokes ... -
Reduced order models for finite-volume simulations of turbulent flow around wind-turbine blades
(Journal article; Peer reviewed, 2021) -
A reduced-rank approach to predicting multiple binary responses through machine learning
(Peer reviewed; Journal article, 2023)This paper investigates the problem of simultaneously predicting multiple binary responses by utilizing a shared set of covariates. Our approach incorporates machine learning techniques for binary classification, without ... -
Reducibility of parameter ideals in low powers of the maximal ideal
(Peer reviewed; Journal article, 2021)A commutative noetherian local ring (R, m) is Gorenstein if and only if every parameter ideal of R is irreducible. Although irreducible parameter ideals may exist in non-Gorenstein rings, Marley, Rogers, and Sakurai show ... -
Reduction of Dimensionality in Spatiotemporal Models
(Doctoral Theses at NTNU, 1503-8181; 2010:193, Doctoral thesis, 2010) -
A refinement of Gorenstein flat dimension via the flat--cotorsion theory
(Peer reviewed; Journal article, 2021)We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the Gorenstein flat dimension, behaves as one expects of ... -
Refining the Internet Voting Protocol
(Master thesis, 2011)We make two improvements to the Internet voting protocol written by Gjøsteen. The first improvement improves the performance of the protocol, by changing the encryption of the votes. The second improvement improves the ... -
Regularity for an anisotropic equation in the plane
(Journal article, 2018)We present a simple proof of the C1 regularity of p-anisotropic functions in the plane for 2≤p <∞. We achieve a logarithmic modulus of continuity for the derivatives.The monotonicity (in the sense of Lebesgue) of the ... -
Regularity of solutions of the parabolic normalized p-Laplace equation
(Journal article; Peer reviewed, 2018)The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to L2. -
Regularity of the p-Poissson Equation in the Plane
(Journal article; Peer reviewed, 2017)We study the regularity of the p-Poisson equation Δpu=h,h∈Lq, Δpu=h,h∈Lq, in the plane. In the case p > 2 and 2 < q < ∞, we obtain the sharp Hölder exponent for the gradient. In the other cases, we come arbitrarily close ... -
Regularity results for the Dirac-Klein-Gordon equations
(Doktoravhandlinger ved NTNU, 1503-8181, Doctoral thesis, 2009)