Results 21 to 30 of about 4,893,936 (283)

Number Formats, Error Mitigation, and Scope for 16‐Bit Arithmetics in Weather and Climate Modeling Analyzed With a Shallow Water Model

open access: yesJournal of Advances in Modeling Earth Systems, 2020
The need for high‐precision calculations with 64‐bit or 32‐bit floating‐point arithmetic for weather and climate models is questioned. Lower‐precision numbers can accelerate simulations and are increasingly supported by modern computing hardware.
M. Klöwer, P. D. Düben, T. N. Palmer
doaj   +1 more source

Detecting Floating-Point Expression Errors Based Improved PSO Algorithm

open access: yesIET Software, 2023
The use of floating-point numbers inevitably leads to inaccurate results and, in certain cases, significant program failures. Detecting floating-point errors is critical to ensuring that floating-point programs outputs are proper.
Hongru Yang   +4 more
doaj   +1 more source

Fused floating-point arithmetic for DSP [PDF]

open access: yes, 2009
textFloating-point arithmetic is attractive for the implementation for a variety of Digital Signal Processing (DSP) applications because it allows the designer and user to concentrate on the algorithms and architecture without worrying about numerical ...
Saleh, Hani Hasan Mustafa, 1970-
core   +1 more source

Robustness Analysis of Floating-Point Programs by Self-Composition

open access: yesJournal of Applied Mathematics, 2014
Robustness is a key property for critical systems that run in uncertain environments, to ensure that small input perturbations can cause only small output changes.
Liqian Chen   +4 more
doaj   +1 more source

Interval Term Rewriting System: Toward A Formal Model for Interval Computation

open access: yesTrends in Computational and Applied Mathematics, 2006
We present a term rewriting system for interval arithmetic (addition, subtraction and multiplication), toward a mathematical model for interval compu- tation.
A.X. Carvalho, R.H.N. Santiago
doaj   +1 more source

High-Performance Computation in Residue Number System Using Floating-Point Arithmetic

open access: yesComputation, 2021
Residue number system (RNS) is known for its parallel arithmetic and has been used in recent decades in various important applications, from digital signal processing and deep neural networks to cryptography and high-precision computation.
Konstantin Isupov
doaj   +1 more source

A Probabilistic Approach to Floating-Point Arithmetic [PDF]

open access: yes2019 53rd Asilomar Conference on Signals, Systems, and Computers, 2019
9 pages, 6 ...
Fredrik Dahlqvist   +2 more
openaire   +3 more sources

Implementation of affine arithmetic using floating-point arithmetic: how to handle roundoff errors

open access: yes, 2014
International audienceAffine arithmetic is one of the extensions of interval arithmetic, which aimsat counteracting the variable dependency problem.
Ninin, Jordan, Revol, Nathalie
core   +6 more sources

Algorithms for estimating modular numbers in floating-point arithmetic

open access: yesНаука. Инновации. Технологии, 2022
In the residue number system (RNS), the operations of addition, subtraction, and multiplication are executed in parallel for different digits (residues) of the modular numbers.
Konstantin Sergeevich Isupov
doaj  

Transreal Foundation for Floating-Point Arithmetic

open access: yes, 2023
Transmathematica archive. Please cite as:Anderson, J. (2023). Transreal Foundation for Floating-Point Arithmetic. Transmathematica.
James Anderson (516164)
core   +1 more source

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