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Hardware Trends Impacting Floating-Point Computations In Scientific Applications

Numerical Analysis 2024-12-23 v2 Numerical Analysis

Abstract

The evolution of floating-point computation has been shaped by algorithmic advancements, architectural innovations, and the increasing computational demands of modern technologies, such as artificial intelligence (AI) and high-performance computing (HPC). This paper examines the historical progression of floating-point computation in scientific applications and contextualizes recent trends driven by AI, particularly the adoption of reduced-precision floating-point types. The challenges posed by these trends, including the trade-offs between performance, efficiency, and precision, are discussed, as are innovations in mixed-precision computing and emulation algorithms that offer solutions to these challenges. This paper also explores architectural shifts, including the role of specialized and general-purpose hardware, and how these trends will influence future advancements in scientific computing, energy efficiency, and system design.

Keywords

Cite

@article{arxiv.2411.12090,
  title  = {Hardware Trends Impacting Floating-Point Computations In Scientific Applications},
  author = {Jack Dongarra and John Gunnels and Harun Bayraktar and Azzam Haidar and Dan Ernst},
  journal= {arXiv preprint arXiv:2411.12090},
  year   = {2024}
}
R2 v1 2026-06-28T20:04:20.362Z