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Roundoff error problems in interpolation methods for time-fractional problems
Applied Numerical MathematicsChaoyu Quan, Shijie Wang, Xu Wu
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SIAM Journal on Matrix Analysis and Applications, 2019
The roundoff-error-free (REF) LU factorization, along with the REF forward and backward substitution algorithms, allows a rational system of linear equations to be solved exactly and efficiently.
Christopher J. Lourenco +3 more
semanticscholar +1 more source
The roundoff-error-free (REF) LU factorization, along with the REF forward and backward substitution algorithms, allows a rational system of linear equations to be solved exactly and efficiently.
Christopher J. Lourenco +3 more
semanticscholar +1 more source
Comparative performance of fast cosine transform with fixed-point roundoff error analysis
IEEE Transactions on Signal Processing, 1994Chau-Yun Hsu
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Overflow and Roundoff Error Analysis via Model Checking
2009 Seventh IEEE International Conference on Software Engineering and Formal Methods, 2009Mizuhito Ogawa
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Roundoff error analysis of algorithms based on Krylov subspace methods
BIT Numerical Mathematics, 1996M. Arioli, C. Fassino
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Roundoff error statistics for a continuous range of multiplier coefficients
IEEE Transactions on Circuits and Systems, 1987I. Tokaji, C. Barnes
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On Local Roundoff Errors in Floating-Point Arithmetic
Journal of the ACM, 1973A bound on the relative error in floating-point addition using a single-precision accumulator with guard digits is derived. It is shown that even with a single guard digit, the accuracy can be almost as good as that using a double-precision accumulator.
Toyohisa Kaneko, Bede Liu
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On roundoff error of fixed-point digital filters using sign-magnitude truncation
IEEE Transactions on Circuit Theory, 1972B. Liu, M. E. Valkenburg
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Roundoff Errors in Signal Averaging Systems
IEEE Transactions on Biomedical Engineering, 1986In biomedical signal averaging applications where a small repetitive signal is to be extracted form a very noisy waveform (noise variance ?2n), the A/D converter range is set at ±A?n where A typically has a value of 3 or 4. In this case, A/D roundoff noise using a (b + 1)-bit A/D converter degrades the SNR of the resulting signal estimate by an amount ...
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