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A Proposed Numerical Accuracy Control System

Symposium on Interactive Systems for Experimental Applied Mathematics on Proceedings of the Association for Computing Machinery Inc. Symposium -, 1967
A scheme is proposed for permitting a user of conventional procedural programming languages (initially, Standard FORTRAN) to test actual error propagation in numerical calculations. The process is to be fully mechanistic so that, with no human resequencing required or permitted, a "numerical procedure debugging" tool is made available.
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On the accuracy in the numerical solution of theN-body problem

Celestial Mechanics, 1979
There exist several widely used methods that give a qualitative estimation of the accuracy of the results in the numerical solution of theN-body problem. The ‘reverse’ and ‘closure’ tests are examined here critically. The author has developed a method for the estimation of global errors propagated in the numerical solution of ordinary and partial ...
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Replication with Attention to Numerical Accuracy

Political Analysis, 2003
Numerical issues matter in statistical analysis. Small errors occur when numbers are translated from paper and pencil into the binary world of computers. Surprisingly, these errors may be propagated and magnified through binary calculations, eventually producing statistical estimates far from the truth.
Micah Altman, Michael P. McDonald
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Numerical Errors and Accuracy

1987
Results obtained from numerical calculations on a computer are subject to two sources of possible error. One of these is the unavoidable error which results from the way that numbers are stored on a computer, while the other error is one deliberately incurred by the numerical method we have chosen.
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Numerical accuracy of block adjustments

Photogrammetria, 1976
Abstract A successful application of aerial triangulation presupposes adequate numerical accuracy of the adjusted data. The numerical accuracy is limited by rounding-off errors of the arithmetic operations and their propagation in the block adjustment algorithm.
H. Ebner, R. Mayer
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Evaluation of the Accuracy of Numerical Weather Prediction Models

2015
This article is focused on numerical weather prediction models, which are publicly available on the Internet and their evaluation of the accuracy of predictions. The first part of the article deals with the basic principles of creating a weather forecast by numerical models, including an overview of selected numerical models.
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Influence of numerical conditioning on the accuracy of relative orientation

2007 IEEE Conference on Computer Vision and Pattern Recognition, 2007
We study the influence of numerical conditioning on the accuracy of two closed-form solutions to the overconstrained relative orientation problem. We consider the well known eight-point algorithm and the recent five-point algorithm, and evaluate changes in their performance due to Hartley's normalization and Muehlich's equilibration.
Sinisa Segvic   +2 more
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Need for control of numerical accuracy

Journal of Spacecraft and Rockets, 1990
The need for the control of numerical accuracy in computational fluid dynamics (CFD) code solutions is reviewed in the light of current journal practice and experience with implementation of an editorial policy on the same subject published by the Journal of Fluids Engineering. Various actual objections to that policy are listed and responses are given.
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On the Accuracy in the Numerical Computation of Orbits

1970
Any system of ordinary differential equations of N-th order with initial conditions given at the point t=a, can be written in the general form $${x}^{\prime}=f\left(t,x\right)\ x\left ( a \right )=x_{0}, $$ , where x and f are vectors of N functions and x 0 is a vector of N constants.
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Numerical Computation of the Matrix Exponential with Accuracy Estimate

SIAM Journal on Numerical Analysis, 1977
This paper presents and analyzes an algorithm for computing the exponential of an arbitrary $n \times n$ matrix. Diagonal Pade table approximations are used in conjunction with several techniques for reducing the norm of the matrix. An important feature of the algorithm is that an estimate for the minimum number of digits accurate in the norm of the ...
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