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How does date-rounding affect phylodynamic inference for public health? [PDF]

open access: yesPLoS Comput Biol
Featherstone LA   +3 more
europepmc   +1 more source

Computational Graphs and Rounding Error

SIAM Journal on Numerical Analysis, 1974
Using graphs for representing computational processes, relative error propagation is described. It is shown how this relates to the condition of a problem and to the property of a process to be benign, i.e., to have only harmless effects of rounding errors. In particular, composition of processes is studied under these aspects.
openaire   +2 more sources

Automatic Linear Correction of Rounding Errors

BIT Numerical Mathematics, 2001
The standard analysis of the effect of rounding errors in floating point arithmetic is based on the estimation of computed value \(fl(.)\) with respect to the elementary errors bounded by the so-called epsilon machine. A first order approximation of the global rounding error accumulating elementary rounding errors is obtained using some numerical ...
openaire   +2 more sources

Rounding Error Analysis of Interval Algorithms

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1984
AbstractUsing the linearization method, a rounding error analysis of interval algorithms is established. It is shown that the interval midpoints and radii are approximate solutions of real evaluation algorithms and of certain linear systems uniquely associated to each interval algorithm.
openaire   +1 more source

Round-off error in products

Computing, 1975
LetA 1 andA 2 be floating point numbers represented in arbitrary base β and randomly chosen from a logarithmic distribution. Letr denote the round-off error $$r = fl(A_1 * A_2 ) - (A_1 * A_2 )$$ where * is floating point multiplication and wherefl(A 1*A 2 ...
Goodman, Richard, Feldstein, Alan
openaire   +1 more source

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