Cover Image

Hardware Trends Impacting Floating-Point Computations In Scientific Applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dongarra, Jack, Gunnels, John, Bayraktar, Harun, Haidar, Azzam, Ernst, Dan
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 90C10, 65F99, 65G30, 65G99, G.1.3; G.4; B.2.m; D.3.4
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Analysis of Floating-Point Matrix Multiplication Computed via Integer Arithmetic
by: Abdelfattah, Ahmad, et al.
Published: (2025)

Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale
by: Mayr, Matthias, et al.
Published: (2025)

Stabilization of isogeometric finite element method with optimal test functions computed from $L_2$ norm residual minimization
by: Łoś, Marcin, et al.
Published: (2024)

Subspace gradient descent method for linear tensor equations
by: Iannacito, Martina, et al.
Published: (2026)

Generalizing Random Butterfly Transforms to Arbitrary Matrix Sizes
by: Lindquist, Neil, et al.
Published: (2023)

When can forward stable algorithms be composed stably?
by: Beltrán, Carlos, et al.
Published: (2021)

Sensitivity of low-rank matrix recovery
by: Breiding, Paul, et al.
Published: (2021)

Structured Backward Errors for Special Classes of Saddle Point Problems with Applications
by: Ahmad, Sk. Safique, et al.
Published: (2024)

Bias- and Variance-Aware Probabilistic Rounding Error Analysis for Floating-Point Arithmetic
by: Bhola, Sahil, et al.
Published: (2024)

Leveraging Mixed Precision in Exponential Time Integration Methods
by: Balos, Cody J., et al.
Published: (2023)

Statistical Taylor Expansion: A New and Path-Independent Method for Uncertainty Analysis
by: Wang, Chengpu
Published: (2024)

Accuracy and Relationships of Quadratic Models in Derivative-free Optimization
by: Chen, Yiwen, et al.
Published: (2026)

A posteriori error bounds for the block-Lanczos method for matrix function approximation
by: Xu, Qichen, et al.
Published: (2022)

An analysis on stochastic Lanczos quadrature with asymmetric quadrature nodes
by: Li, Wenhao, et al.
Published: (2023)

Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals
by: Okayama, Tomoaki
Published: (2013)

The need for accuracy and smoothness in numerical simulations
by: Mikkelsen, Carl Christian Kjelgaard, et al.
Published: (2024)

Determining the Rolle function in Lagrange interpolatory approximation
by: Prentice, J. S. C.
Published: (2018)

Recursive vectorized computation of the vector $p$-norm
by: Novaković, Vedran
Published: (2025)

Scalable s-step Preconditioned Conjugate Gradient with Chebyshev Basis and Gauss-Seidel Gram Solve
by: D'Ambra, Pasqua, et al.
Published: (2026)

Fast GPU Linear Algebra via Compile Time Expression Fusion
by: Curtin, Ryan R., et al.
Published: (2026)

Armadillo: An Efficient Framework for Numerical Linear Algebra
by: Sanderson, Conrad, et al.
Published: (2025)

Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares
by: Carson, Erin, et al.
Published: (2024)

Debiasing Polynomial and Fourier Regression
by: Camaño, Chris, et al.
Published: (2025)

Fast and Exact Least Absolute Deviations Line Fitting via Piecewise Affine Lower-Bounding
by: Volz, Stefan, et al.
Published: (2025)

Sufficient Conditions for Error Distance Reduction in the (\ell^2)-norm Trust Region between Minimizers of Local Nonconvex Multivariate Quadratic Approximates
by: Xie, Pengcheng
Published: (2023)

A Priori Adaptive Numerical Methods for Estimating Blow-up Times of Autonomous ODEs
by: Hoel, Håkon, et al.
Published: (2026)

Multiscale analysis via pseudo-reversing and applications to manifold-valued sequences
by: Mattar, Wael, et al.
Published: (2023)

Avoiding breakdown in incomplete factorizations in low precision arithmetic
by: Scott, Jennifer, et al.
Published: (2024)

Numerical methods for Chaotic ODE
by: Corless, Robert M.
Published: (2025)

An accelerated frequency-independent solver for oscillatory differential equations
by: Stojimirovic, Tara, et al.
Published: (2024)

Physics-based Approximation and Prediction of Speedlines in Compressor Performance Maps
by: Akiev, Abdul-Malik, et al.
Published: (2026)

A C++ implementation of the discrete adjoint sensitivity analysis method for explicit adaptive Runge-Kutta methods enabled by automatic adjoint differentiation and SIMD vectorization
by: Martins, Rui, et al.
Published: (2024)

Finite-size effects in periodic coupled cluster calculations
by: Xing, Xin, et al.
Published: (2023)

Speeding up an unsteady flow simulation by adaptive BDDC and Krylov subspace recycling
by: Hanek, Martin, et al.
Published: (2024)

Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence
by: Lessard, Jean-Philippe, et al.
Published: (2024)

Local convergence analysis of the Gauss-Newton-Kurchatov method
by: Argyros, Ioannis K., et al.
Published: (2019)

The joint bidiagonalization of a matrix pair with inaccurate inner iterations
by: Li, Haibo
Published: (2023)

Growth factors of orthogonal matrices and local behavior of Gaussian elimination with partial and complete pivoting
by: Peca-Medlin, John
Published: (2023)

Kernel compensation method for Maxwell eigenproblem with mimetic finite difference discretization
by: Jin, Chenhao, et al.
Published: (2025)

The ensmallen library for flexible numerical optimization
by: Curtin, Ryan R., et al.
Published: (2021)