Results 71 to 80 of about 26,950 (290)
Type-Based Approaches to Rounding Error Analysis
219 pagesThis dissertation explores the design and implementation of programming languages that represent rounding error analysis through typing.
Kellison, Ariel
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Математичні СтудіїContinued fractions and their generalization, branched continued fractions, are the effective tools used to study special functions. In this aspect, an important problem of continued fractions and branched continued fractions is the study of their ...
M. V. Dmytryshyn +3 more
doaj +1 more source
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Identified through the use of statistical design of experiments and metallographic investigation, this study exposes the stochastic origins of intergranular cracks in blown powder laser beam directed energy deposition additive manufacturing of pure molybdenum. It further demonstrates a successful crack mitigation approach with direct correlation to the
Nathaniel J. Lies +2 more
wiley +1 more source
Rounding error analysis for forward continued fraction algorithms
, 1985 There exist several algorithms for the calculation of convergents of a continued fraction. We will investigate the effect of data perturbations and rounding errors for some algorithms, using the ideas of Stummel's perturbation theory [3] which is a ...
Van der Cruyssen, Paul +5 more
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Rounding patterns of survival probabilistic expectations and their consequences on inference. [PDF]
, 2023 openThe focus of this thesis is on subjective expectations, how they are formed and their consequences in the financial market participation. Data on subjective expectations are taken from the SHARE survey: the Survey of Health, Aging and Retirement in ...
CICERO, SIMONE
core
Математичні СтудіїIn this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn +3 more
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
Periodicity and Transport from Round-Off Errors [PDF]
Experimental Mathematics, 1994 We investigate the effects of round-off errors on quasi-periodic motions in a linear symplectic planar map. By discretizing coordinates uniformly we transform this map into a permutation of Z2, and study motions near infinity, which correspond to a fine discretization. We provide numerical evidence that all orbits are periodic and that the averageorder
openaire +2 more sources
Hydrogen‐Assisted Fracture of Iron‐Based Fe–Ni–Al Alloys
Advanced Engineering Materials, EarlyView.Principal relations and fracture mechanisms of single‐phase and precipitate‐strengthened Fe–Ni–Al alloys subjected to prior electrochemical hydrogen charging are identified. The mechanisms of hydrogen effect on strength and microhardness are discussed, including hydrogen‐induced increase in microhardness and the role of hydrogen in fracture behavior ...
Nataliya Yadzhak +3 more
wiley +1 more source