activity
20082025
most citedEvaluating the Impact of SDC on the GMRES Iterative Solver

84 citations · 250 across the 11 of their papers we have counts for

collaborators

11 papers

cs.MS2025

Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale

Matthias Mayr, Alexander Heinlein, Christian Glusa +30

Trilinos is a community-developed, open-source software framework that facilitates building large-scale, complex, multiscale, multiphysics simulation code bases for scientific and…

cs.DC2020★ 13 cited

mdspan in C++: A Case Study in the Integration of Performance Portable Features into International Language Standards

D. S. Hollman, Bryce Adelstein Lelbach, H. Carter Edwards +3

Multi-dimensional arrays are ubiquitous in high-performance computing (HPC), but their absence from the C++ language standard is a long-standing and well-known limitation of their…

cs.MS2015★ 1 cited

Embedded Ensemble Propagation for Improving Performance, Portability and Scalability of Uncertainty Quantification on Emerging Computational Architectures

E. Phipps, M. D'Elia, H. C. Edwards +3

Quantifying simulation uncertainties is a critical component of rigorous predictive simulation. A key component of this is forward propagation of uncertainties in simulation input…

cs.DC2014★ 7 cited

Tolerating Silent Data Corruption in Opaque Preconditioners

James Elliott, Mark Hoemmen, Frank Mueller

We demonstrate algorithm-based fault tolerance for silent, transient data corruption in "black-box" preconditioners. We consider both additive Schwarz domain decomposition with an…

cs.MS2014★ 11 cited

Resilience in Numerical Methods: A Position on Fault Models and Methodologies

James Elliott, Mark Hoemmen, Frank Mueller

Future extreme-scale computer systems may expose silent data corruption (SDC) to applications, in order to save energy or increase performance. However, resilience research struggl…

math.NA2013★ 22 cited

Exploiting Data Representation for Fault Tolerance

James Elliott, Mark Hoemmen, Frank Mueller

We explore the link between data representation and soft errors in dot products. We present an analytic model for the absolute error introduced should a soft error corrupt a bit in…

cs.DC2013★ 84 cited

Evaluating the Impact of SDC on the GMRES Iterative Solver

James Elliott, Mark Hoemmen, Frank Mueller

Increasing parallelism and transistor density, along with increasingly tighter energy and peak power constraints, may force exposure of occasionally incorrect computation or storag…

math.NA2012★ 47 cited

Fault-tolerant linear solvers via selective reliability

Patrick G. Bridges, Kurt B. Ferreira, Michael A. Heroux +1

Energy increasingly constrains modern computer hardware, yet protecting computations and data against errors costs energy. This holds at all scales, but especially for the largest…

math.NA2008★ 12 cited

Implementing Communication-Optimal Parallel and Sequential QR Factorizations

James Demmel, Laura Grigori, Mark Hoemmen +1

We present parallel and sequential dense QR factorization algorithms for tall and skinny matrices and general rectangular matrices that both minimize communication, and are as stab…

math.NA2008★ 34 cited

Communication-optimal parallel and sequential QR and LU factorizations

James Demmel, Laura Grigori, Mark Hoemmen +1

We present parallel and sequential dense QR factorization algorithms that are both optimal (up to polylogarithmic factors) in the amount of communication they perform, and just as…

math.NA2008★ 19 cited

Communication-optimal parallel and sequential QR and LU factorizations: theory and practice

James Demmel, Laura Grigori, Mark Hoemmen +1

We present parallel and sequential dense QR factorization algorithms that are both optimal (up to polylogarithmic factors) in the amount of communication they perform, and just as…