Department of Mathematics
Recent Submissions
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Mixed-Dimensional Approach for Compositional Multiphase Flow in High-Enthalpy Fractured Geothermal Reservoirs
(Stanford Geothermal Workshop;, Chapter, 2025)We present a novel multiphase compositional model for geothermal reservoir simulation that incorporates phase separation phenomena and explicitly represents fractures. Mass and heat transfer in porous media typically use ... -
Impact of MRI radiomic feature normalization for prognostic modelling in uterine endometrial and cervical cancers
(Journal article; Peer reviewed, 2024)Widespread clinical use of MRI radiomic tumor profiling for prognostication and treatment planning in cancers faces major obstacles due to limitations in standardization of radiomic features. The purpose of the current ... -
Overweight and obesity as risk factors for chronic low back pain: a new follow-up in the HUNT Study
(Journal article; Peer reviewed, 2024)Background Numerous studies have examined associations between overweight and obesity and risk of low back pain (LBP), but the exact magnitude of these associations is not yet clear. The purpose of this work was to ... -
SS3DNet-AF: A Single-Stage, Single-View 3D Reconstruction Network with Attention-Based Fusion
(Journal article; Peer reviewed, 2024)Learning object shapes from a single image is challenging due to variations in scene content, geometric structures, and environmental factors, which create significant disparities between 2D image features and their ... -
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 complex stability radius for time-delay differential-algebraic systems
(Journal article; Peer reviewed, 2025)An algorithm is proposed for computing the complex stability radius of a linear differential-algebraic system with a single delay and including a neutral term. The exponential factor in the characteristic equation is ... -
A discrete fracture matrix framework for simulating single-phase flow and non-isothermal reactive transport
(Journal article; Peer reviewed, 2024)Simulating reactive transport in fractured porous media is computationally demanding since it requires solving physical and chemical processes that non-linearly affect each other. At the same time, the processes strongly ... -
Modelling and simulation of single-phase flow and non-isothermal reactive transport in fractured porous media
(Doctoral thesis, 2025-03-31)Mange problemer i oppsprukne porøse medier skjer som et resultat av kjemiske reaksjoner med en kombinasjon av væskestrøming, varmetransport og transport av kjemiske arter. Slike problemer representerer en tett kobling av ... -
A Unified Compositional Flow Model for Simulating Multiphase High-Enthalpy Geothermal Reservoirs
(Stanford Geothermal Workshop;, Chapter, 2025)Simulating high-enthalpy geothermal reservoirs poses significant challenges due to the complex interactions between multicomponent, multiphase geothermal fluids influenced by varying pressure, temperature, and other physical ... -
Wave-driven current and vortex patterns at an open beach: Insights from phase-resolving numerical computations and Lagrangian measurements
(Journal article; Peer reviewed, 2024)Wave-driven currents have a substantial impact on local circulation patterns in and across the surf zone, and are responsible for cross-shore and longshore exchange of mass and momentum over a broad range of spatial and ... -
The multiplicative structures on motivic homotopy groups
(Journal article; Peer reviewed, 2024)We reconcile the multiplications on the homotopy rings of motivic ring spectra used by Voevodsky and Dugger. While the connection is elementary and similar phenomena have been observed in situations like supersymmetry, ... -
Eight Times Four Bialgebras of Hypergraphs, Cointeractions, and Chromatic Polynomials
(Journal article; Peer reviewed, 2024)The bialgebra of hypergraphs, a generalization of W. Schmitt’s Hopf algebra of graphs [25], is shown to have a cointeracting bialgebra structure, giving a double bialgebra in the sense of L. Foissy, who has recently proven ... -
Dispersive Wave Focusing on a Shear Current: Part 1—Linear Approximations
(Journal article; Peer reviewed, 2024)We consider the evolution and kinematics during dispersive focussing, for a group of waves propagating atop currents varying with depth. Our analysis assumes long-crested linear waves propagating at arbitrary angles relative ... -
Convergence of a continuous Galerkin method for hyperbolic-parabolic systems
(Journal article; Peer reviewed, 2024)We study the numerical approximation by space-time finite element methods of a coupled hyperbolic-parabolic system modeling, for instance, poro- and thermoelasticity. The equations are rewritten as a first-order system in ... -
Self-supervised feature learning for acoustic data analysis
(Journal article; Peer reviewed, 2024)Acoustic surveys play a pivotal role in fisheries management. During the surveys, acoustic signals are sent into the water and the strength of the reflection, so-called backscatter, is recorded. The collected data are ... -
Connecting Species-Specific Extents of Genome Reduction in Mitochondria and Plastids
(Journal article; Peer reviewed, 2024)Mitochondria and plastids have both dramatically reduced their genomes since the endosymbiotic events that created them. The similarities and differences in the evolution of the two organelle genome types have been the ... -
The Nitroplast and Its Relatives Support a Universal Model of Features Predicting Gene Retention in Endosymbiont and Organelle Genomes
(Journal article; Peer reviewed, 2024)Endosymbiotic relationships have shaped eukaryotic life. As endosymbionts coevolve with their host, toward full integration as organelles, their genomes tend to shrink, with genes being completely lost or transferred to ... -
The Bockstein spectral sequence
(Master thesis, 2025-01-15) -
Weak solvability of elliptic variational inequalities coupled with a nonlinear differential equation
(Journal article; Peer reviewed, 2025)In this paper we establish existence, uniqueness, and boundedness results for an elliptic variational inequality coupled with a nonlinear ordinary differential equation. Under the general framework, we present a new ... -
Well-posedness of evolutionary differential variational–hemivariational inequalities and applications to frictional contact mechanics
(Journal article; Peer reviewed, 2024)In this paper, we study the well-posedness of a class of evolutionary variational–hemivariational inequalities coupled with a nonlinear ordinary differential equation in Banach spaces. The proof is based on an iterative ...
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