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truncation error

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Noun1.truncation error - (mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished
miscalculation, misestimation, misreckoning - a mistake in calculating
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement


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3 Evaluation techniques for window functions To keep the aliasing error and the truncation error small, several univariate functions T with good localisation in time and frequency domain were proposed.
The truncation error is often referred to as numerical dispersion because, to lowest order, it can be represented as a second spatial derivative term added to any true dispersion term in the problem.
I,J] = [[DELTA]X(I,J)/[DELTA]t] + O([DELTA]t) = [[X(I,J) - X(I - 1,J)]/[DELTA]t] + O([DELTA]t) (11) where O([DELTA]t) denotes the truncation error for the finite-difference equation, [DELTA]t the time step.
 
 
 
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