Concept
Catastrophic cancellation
Related publications (12)
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 ...
SPRINGER2023Numerical Modelling of Two-Phase Flow with Moving Boundary Fitted Meshes
In this thesis, a computational approach is used to study two-phase flow including phase change by direct numerical simulation.
This approach follows the interface with an adaptive moving mesh.
The incompressible Navier-Stokes equations are solved, in tw ...
EPFL2018Interface-fitted moving mesh method for axisymmetric two-phase flow in microchannels
John Richard Thome, Gustavo Rabello Dos Anjos, Erik Gros
A boundary-fitted moving mesh scheme is presented for the simulation of two-phase flow in two-dimensional and axisymmetric geometries. The incompressible Navier-Stokes equations are solved using the finite element method, and the mini element is used to sa ...
Wiley2018Blowing in the Wind
Every day tons of pollutants are emitted into the atmosphere all around the world. These pollutants are altering the equilibrium of our planet, causing profound changes in its climate, increasing global temperatures, and raising the sea level. The need to ...
EPFL2017Mitigating the Impact of Faults in Unreliable Memories For Error-Resilient Applications
Andreas Peter Burg, Adam Shmuel Teman, Georgios Karakonstantis, Shrikanth Ganapathy
Inherently error-resilient applications in areas such as signal processing, machine learning and data analytics provide opportunities for relaxing reliability requirements, and thereby reducing the overheads incurred by conventional error correction scheme ...
2015Aggressively Truncated Taylor Series Method For Accurate Computation Of Exponentials Of Essentially Nonnegative Matrices
Small relative perturbations to the entries of an essentially nonnegative matrix introduce small relative errors to entries of its exponential. It is thus desirable to compute the exponential with high componentwise relative accuracy. Taylor series approxi ...
Siam Publications2014On the coupling between an ideal fluid and immersed particles
In this paper, we present finite-dimensional particle-based models for fluids which respect a number of geometric properties of the Euler equations of motion. Specifically, we use Lagrange-Poincare reduction to understand the coupling between a fluid and a ...
Elsevier2013Accurate and efficient evaluation of failure probability for partial different equations with random input data
Several computational challenges arise when evaluating the failure probability of a given system in the context of risk prediction or reliability analysis. When the dimension of the uncertainties becomes high, well established direct numerical methods can ...
Elsevier Science Sa2013Methodology for the digital calibration of analog circuits and systems
This thesis presents a complete methodology for the digital calibration of analog circuits. It shows how to relax the extreme design constraints in analog circuits, allowing the realization of high-precision systems even with low-performance components. In ...
EPFL2005Comments on “Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2”
The Lambert W function appears in a wide variety of circumstances, including the recent application to signal processing referred to in the paper under discussion. Besides applications, a sizable body of mathematical analysis has been reported. The origina ...
2004