Results 21 to 30 of about 7,246 (295)
Optimal realizations of floating-point implemented digital controllers with finite word length considerations. [PDF]
, 2004 The closed-loop stability issue of finite word length (FWL) realizations is investigated for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point
Whidborne, James F. +7 more
core +1 more source
Detecting Floating-Point Expression Errors Based Improved PSO Algorithm
IET 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
Journal 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
FAST ROBUST ARITHMETICS FOR GEOMETRIC ALGORITHMS AND APPLICATIONS TO GIS [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2021 Geometric predicates are used in many GIS algorithms, such as the construction of Delaunay Triangulations for Triangulated Irregular Networks (TIN) or geospatial predicates.
T. Bartels, V. Fisikopoulos
doaj +1 more source
Mixed abstractions for floating-point arithmetic [PDF]
2009 Formal Methods in Computer-Aided Design, 2009 Floating-point arithmetic is essential for many embedded and safety-critical systems, such as in the avionics industry. Inaccuracies in floating-point calculations can cause subtle changes of the control flow, potentially leading to disastrous errors. In this paper, we present a simple and general, yet powerful framework for building abstractions from ...
Angelo Brillout +2 more
openaire +1 more source
Robustness Analysis of Floating-Point Programs by Self-Composition
Journal 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
High-Performance Computation in Residue Number System Using Floating-Point Arithmetic
Computation, 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
Interval Term Rewriting System: Toward A Formal Model for Interval Computation
Trends 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
Applied Sciences, 2023 In recent years, interest in approximate computing has been increasing significantly in many disciplines in the context of saving energy and computation cost by trading off on the quality of numerical simulation.
Alexey Cherezov +2 more
doaj +1 more source
Approximate Floating-Point Operations with Integer Units by Processing in the Logarithmic Domain
, 2021 Floating-point numbers represented using a hidden one can readily be approximately converted to the logarithmic domain using Mitchell's approximation. Once in the logarithmic domain, several arithmetic operations including multiplication, division, and ...
Gustafsson, Oscar +5 more
core +1 more source