Publications related to Round-off error

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Fabio Zoccolan, Gianluigi Rozza

In this paper we will consider distributed Linear-Quadratic Optimal Control Problems dealing with Advection-Diffusion PDEs for high values of the Peclet number. In this situation, computational instabilities occur, both for steady and unsteady cases. A Str ...

Walter De Gruyter Gmbh2024

Error estimates for SUPG-stabilised Dynamical Low Rank Approximations

Fabio Nobile, Thomas Simon Spencer Trigo Trindade

We perform an error analysis of a fully discretised Streamline Upwind Petrov Galerkin Dynamical Low Rank (SUPG-DLR) method for random time-dependent advection-dominated problems. The time integration scheme has a splitting-like nature, allowing for potenti ...

2024

Error field detection and correction studies towards ITER operation

Olivier Sauter, Bernhard Sieglin, Leonardo Pigatto

In magnetic fusion devices, error field (EF) sources, spurious magnetic field perturbations, need to be identified and corrected for safe and stable (disruption-free) tokamak operation. Within Work Package Tokamak Exploitation RT04, a series of studies hav ...

Iop Publishing Ltd2024

A mixed precision LOBPCG algorithm

Daniel Kressner, Meiyue Shao, Yuxin Ma

The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the corresponding eigenvectors of a large Hermitian positive definite matrix A. In this work, we propose a mix ...

SPRINGER2023

Assessing real-world gait with digital technology? Validation, insights and recommendations from the Mobilise-D consortium

Kamiar Aminian, Anisoara Ionescu, Abolfazl Soltani, Francesca Salis

Background: Although digital mobility outcomes (DMOs) can be readily calculated from real-world data collected with wearable devices and ad-hoc algorithms, technical validation is still required. The aim of this paper is to comparatively assess and validat ...

BMC2023

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

Bed Topography Inference from Velocity Field Using Deep Learning.

Christophe Ancey, Mehrdad Kiani Oshtorjani

Measuring bathymetry has always been a major scientific and technological challenge. In this work, we used a deep learning technique for inferring bathymetry from the depth-averaged velocity field. The training of the neural network is based on 5742 labora ...

2023

An adaptive space-time algorithm for the incompressible Navier-Stokes equations

Marco Picasso, Samuel Dubuis

A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes equations. Time discretization is performed with the BDF2 method while continuous, piecewise linear anisotropic finite elements are used for the space discretization. Th ...

San Diego2023

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Round-off error

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Error estimates for SUPG-stabilised Dynamical Low Rank Approximations

Error field detection and correction studies towards ITER operation

A mixed precision LOBPCG algorithm

Assessing real-world gait with digital technology? Validation, insights and recommendations from the Mobilise-D consortium

Singular quadratic eigenvalue problems: linearization and weak condition numbers

Bed Topography Inference from Velocity Field Using Deep Learning.

Low-Rank Tensor Methods for High-Dimensional Problems

An adaptive space-time algorithm for the incompressible Navier-Stokes equations

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Chat with Graph Search

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

An adaptive space-time algorithm for the incompressible Navier-Stokes equations

Low-Rank Tensor Methods for High-Dimensional Problems

Error field detection and correction studies towards ITER operation

A mixed precision LOBPCG algorithm

Assessing real-world gait with digital technology? Validation, insights and recommendations from the Mobilise-D consortium

Singular quadratic eigenvalue problems: linearization and weak condition numbers

Error estimates for SUPG-stabilised Dynamical Low Rank Approximations

Bed Topography Inference from Velocity Field Using Deep Learning.