528 citations · 810 across the 28 of their papers we have counts for
4 papers · 1 filter
Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation
Emmanuel Agullo, Hartwig Anzt, Daniel Bauer +37
Reduced and mixed precision have moved from a niche optimization to a central design axis in scientific computing and engineering, driven by energy constraints, heterogeneous accel…
Pseudospectral bounds on transient growth for higher order and constant delay differential equations
Amanda Hood, David Bindel
Asymptotic dynamics of ordinary differential equations (ODEs) are commonly understood by looking at eigenvalues of a matrix, and transient dynamics can be bounded above and below b…
An Efficient Solver for Sparse Linear Systems Based on Rank-Structured Cholesky Factorization
Jeffrey N. Chadwick, David S. Bindel
Direct factorization methods for the solution of large, sparse linear systems that arise from PDE discretizations are robust, but typically show poor time and memory scalability fo…
Localization theorems for nonlinear eigenvalue problems
David Bindel, Amanda Hood
Let be a matrix-valued function that is analytic on some simply-connected domain . A point is an eigenvalue if the matr…