Publications related to Numerical linear algebra

Low-Rank Tensor Approximations for Solving Multimarginal Optimal Transport Problems\ast

By the addition of entropic regularization, multimarginal optimal transport problems can be trans-formed into tensor scaling problems, which can be solved numerically using the multimarginal Sinkhorn algorithm. The main computational bottleneck of this alg ...

SIAM PUBLICATIONS2023

Singular quadratic eigenvalue problems: linearization and weak condition numbers

Daniel Kressner, Ivana Sain Glibic

The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an arbitrarily bad effect on eigenvalue accuracy. However, it has been known for a long time that such perturbations are ...

SPRINGER2023

Learning ground states of gapped quantum Hamiltonians with Kernel Methods

Giuseppe Carleo, Riccardo Rossi, Clemens Giuliani, Filippo Vicentini

Neural network approaches to approximate the ground state of quantum hamiltonians require the numerical solution of a highly nonlinear optimization problem. We introduce a statistical learning approach that makes the optimization trivial by using kernel me ...

Wien2023

Fast in vivo assay of creatine kinase activity in the human brain by P-31 magnetic resonance fingerprinting

Lijing Xin, Daniel Wenz, Mark Stephan Widmaier, Songi Lim

A new and efficient magnetisation transfer P-31 magnetic resonance fingerprinting (MT-P-31-MRF) approach is introduced to measure the creatine kinase metabolic rate kCK

{k}_{\mathrm{CK}}

between phosphocreatine (PCr) and adenosine triphosphate (ATP) i ...

WILEY2023

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

Rafael Vazquez Hernandez

Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines for the numerical solution of high order partial differential equations. However, the tensor-product structure of standard multivariate B-spline models is not well s ...

WORLD SCIENTIFIC PUBL CO PTE LTD2023

On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems

The finite element method is a well-established method for the numerical solution of partial differential equations (PDEs), both linear and nonlinear. However, the repeated re -assemblage of finite element matrices for nonlinear PDEs is frequently pointed ...

ELSEVIER SCIENCE INC2023

Transcapacitances Modeling in ultra-thin gate-all-around junctionless nanowire FETs, including 2D quantum confinement

Farzan Jazaeri

In this work, we propose an analytical model for the intrinsic transcapacitances in ultra-thin gate-all-around junctionless nanowire field effect transistors in the presence of confined energy states of electrons. The validity of the developed model is con ...

PERGAMON-ELSEVIER SCIENCE LTD2023

Exploration of the parameter space for the excitation and saturation of Edge Harmonic Oscillations

Guillermo Bustos Ramirez

This thesis presents advancements in the understanding of the plasma conditions leading to the excitation and saturation of the Edge Harmonic Oscillations (EHOs) observed during QH-mode operation in tokamak plasmas. Such operations represent a safer altern ...

EPFL2023

Designing self-tracking experiences: A qualitative study of the perceptions of barriers and facilitators to adopting digital health technology for automatic urine analysis at home

Delphine Ribes Lemay, Nicolas Henchoz, Emily Clare Groves, Margherita Motta, Andrea Regula Schneider

Self-tracking technologies open new doors to previously unimaginable scenarios. The diagnosis of diseases years in advance, or supporting the health of astronauts on missions to Mars are just some of many example applications. During the COVID-19 pandemic, ...

2023

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations

Alfio Quarteroni, Francesco Regazzoni, Stefano Pagani, Marco Fedele

Background: Simulating the cardiac function requires the numerical solution of multi-physics and multi-scale mathematical models. This underscores the need for streamlined, accurate, and high-performance computational tools. Despite the dedicated endeavors ...

London2023

Numerical linear algebra

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Low-Rank Tensor Approximations for Solving Multimarginal Optimal Transport Problems\ast

Singular quadratic eigenvalue problems: linearization and weak condition numbers

Learning ground states of gapped quantum Hamiltonians with Kernel Methods

Fast in vivo assay of creatine kinase activity in the human brain by P-31 magnetic resonance fingerprinting

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems

Transcapacitances Modeling in ultra-thin gate-all-around junctionless nanowire FETs, including 2D quantum confinement

Exploration of the parameter space for the excitation and saturation of Edge Harmonic Oscillations

Designing self-tracking experiences: A qualitative study of the perceptions of barriers and facilitators to adopting digital health technology for automatic urine analysis at home

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations

Low-Rank Tensor Approximations for Solving Multimarginal Optimal Transport Problems\ast

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems

Designing self-tracking experiences: A qualitative study of the perceptions of barriers and facilitators to adopting digital health technology for automatic urine analysis at home

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations

Exploration of the parameter space for the excitation and saturation of Edge Harmonic Oscillations

Singular quadratic eigenvalue problems: linearization and weak condition numbers

Transcapacitances Modeling in ultra-thin gate-all-around junctionless nanowire FETs, including 2D quantum confinement

Learning ground states of gapped quantum Hamiltonians with Kernel Methods

Fast in vivo assay of creatine kinase activity in the human brain by P-31 magnetic resonance fingerprinting