Results 11 to 20 of about 7,840 (182)
Scaling Turbulent Combustion Fields in Explosions
Applied Sciences, 2020 We considered the topic of explosions from spherical high-explosive (HE) charges. We studied how the turbulent combustion fields scale. On the basis of theories of dimensional analysis by Bridgman and similarity theories of Sedov and Barenblatt, we found
Allen Kuhl, David Grote, John Bell
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Parts of the Whole: Error Estimation for Science Students
Numeracy, 2017 It is important for science students to understand not only how to estimate error sizes in measurement data, but also to see how these errors contribute to errors in conclusions they may make about the data. Relatively small errors in measurement, errors
Dorothy Wallace
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An Introduction to Affine Arithmetic
Trends in Computational and Applied Mathematics, 2003 Affine arithmetic (AA) is a model for self-validated computation which, like standard interval arithmetic (IA), produces guaranteed enclosures for computed quantities, taking into account any uncertainties in the input data as well as all internal ...
J. Stolfi, L.H. de Figueiredo
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Computation of the inverse Laplace Transform based on a Collocation method which uses only real values [PDF]
, 2007 We develop a numerical algorithm for inverting a Laplace transform (LT), based on Laguerre polynomial series expansion of the inverse function under the assumption that the LT is known on the real axis only.
A. MurliI +3 more
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On fully discrete collocation methods for solving weakly singular integral equations
Mathematical Modelling and Analysis, 2009 A popular class of methods for solving weakly singular integral equations is the class of piecewise polynomial collocation methods. In order to implement those methods one has to compute exactly certain integrals that determine the linear system to be ...
Raul Kangro, Inga Kangro
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Optimal Controller and Filter Realisations using Finite-precision, Floating- point Arithmetic. [PDF]
, 2005 The problem of reducing the fragility of digital controllers and filters implemented using finite-precision, floating-point arithmetic is considered.
Chen, Sheng +3 more
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Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations [PDF]
, 2015 We investigate the self-similar singularity of a 1D model for the 3D axisymmetric Euler equations, which is motivated by a particular singularity formation scenario observed in numerical computation.
Hou, Thomas Y., Liu, Pengfei
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Quantization in Control Systems and Forward Error Analysis of Iterative Numerical Algorithms [PDF]
, 2010 The use of control theory to study iterative algorithms, which can be considered as dynamical systems, opens many opportunities to find new tools for analysis of algorithms.
Constantinides, GA +2 more
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Round-Off Error Suppression by Statistical Averaging
AxiomsRegarding round-off errors as random is often a necessary simplification to describe their behavior. Assuming, in addition, the symmetry of their distributions, we show that one can, in unstable (ill-conditioned) computer calculations, suppress their ...
Andrej Liptaj
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A Model for Understanding Numerical Stability
, 2005 We present a model of roundoff error analysis that combines simplicity with predictive power. Though not considering all sources of roundoff within an algorithm, the model is related to a recursive roundoff error analysis and therefore capable of ...
Bornemann, Folkmar
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