Results 31 to 40 of about 27,297,467 (168)
Balancing truncation and round-off errors in FEM: One-dimensional analysis
Journal of Computational and Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jie Liu +2 more
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Discretization vs. rounding error in Euler's method [PDF]
, 2011 The article of record as published may be located at http://dx.doi.org/10.4169/college.math.j.42.5.399Euler’s method for solving initial value problems is a good vehicle for observing the relationship between discretization error and rounding error in ...
Carlos F. Borges, Borges, Carlos F.
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Кібернетика та комп'ютерні технологіїIntroduction. The main attention is paid to the need to take into account estimates of rounding errors when solving problems of transcomputational complexity.
Valerii Zadiraka, Inna Shvidchenko
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Rounding error analysis of linear recurrences using generating series
ETNA - Electronic Transactions on Numerical Analysis, 2023 We develop a toolbox for the error analysis of linear recurrences with constant or polynomial coefficients, based on generating series, Cauchy's method of majorants, and simple results from analytic combinatorics. We illustrate the power of the approach by several nontrivial application examples. Among these examples are a new worst-case analysis of an
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Analysis of the Quantization Noise in Discrete Wavelet Transform Filters for 3D Medical Imaging
Applied Sciences, 2020 Denoising and compression of 2D and 3D images are important problems in modern medical imaging systems. Discrete wavelet transform (DWT) is used to solve them in practice.
Nikolay Chervyakov +2 more
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Rounding-Error Analysis of Multigrid \({V}\)-Cycles
SIAM Journal on Scientific ComputingAbstract. Earlier work on rounding-error analysis of multigrid was restricted to cycles that used one relaxation step before coarsening and none afterwards. The present paper extends this analysis to two-grid methods that use one relaxation step both before and after coarsening.
Stephen F. McCormick, Rasmus Tamstorf
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Estimating and modelling bias of the hierarchical partitioning public-domain software: implications in environmental management and conservation. [PDF]
PLoS ONE, 2010 BACKGROUND: Hierarchical partitioning (HP) is an analytical method of multiple regression that identifies the most likely causal factors while alleviating multicollinearity problems. Its use is increasing in ecology and conservation by its usefulness for
Pedro P Olea +2 more
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Rounding error analysis for forward continued fraction algorithms
Computers & Mathematics with Applications, 1985 From authors' summary: There exist several algorithms for the calculation 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 which is a forward error analysis.
Cuyt, A., Vandercruyssen, P.
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A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations [PDF]
Numerical Algorithms, 2017 We prove sharp, computable error estimates for the propagation of errors in the numerical solution of ordinary differential equations. The new estimates extend previous estimates of the influence of data errors and discretisation errors with a new term accounting for the propagation of numerical round-off errors, showing that the accumulated round-off ...
Benjamin Kehlet, Anders Logg
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Rounding error bounds by perturbation- condition analysis [PDF]
, 1967 Rounding error bounds by perturbation condition analysis, and conditioning for eigenvalue ...
Rose, D. J.
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