On the consequence of discretization errors in the numerical calculation of viscoelastic flow - Dupret, Marchal, et al. - 1985Dupret F,Marchal JM,Crochet MJ. On the consequence of discretization errors in the numerical calculation of viscoelastic flow[J].Journal of Non-Newtonian Fluid Mechanics,...
I start from zero to invistigate the 1D pulse propagation equation as a*du/dt+du/dx=0 here a is a constant, x, t are the corresponding spatial and time coordinate. For an input pulse with smooth time derivative,e.g. a Gaussian pulse, my naive numerical impression is that the solusio...
Hello, we have trouble with summation errors (differences) in the computation of an average pooling layer of a CNN by means of CoreML and on a M1 device with Big Sur. For several consecutive runs we get different results. This happens on GPU, CPU and with the Neural Engine (AI cores)....
computational errors. It contains a number of results on the convergence behavior of algorithms in a Hilbert space, which are well known as important tools for solving optimization problems. The research presented continues from the author's (c) 2016 book Numerical Optimization with Computationa......
The conventional circuit paradigm, utilizing a small set of gates to construct arbitrary quantum circuits, is hindered by significant noise. In the quantum Fourier transform, for instance, the standard gate paradigm employs two CNOT gates for the partial
This research is motivated by: (a) The speedup seen in low-precision simulations, (b) the reduced memory requirements, (c) the increasing hardware support for low-precision computation and (d) the demonstrated ability of deep learning to improve numerical simulations. In Section 2, we quantify...
In practice, numerical round-off can cause slight differences and eventual divergence of molecular dynamics phase space trajectories within a few 100s or few 1000s of timesteps. However, the statistical properties of the two runs (e.g. average energy or temperature) should still be the same. ...
However, discontinuities may result in the computation of numerical second- order derivatives using finite differencing (for the Newton–Raphson optimize technique, tech(nr)) 6 asmprobit — Alternative-specific multinomial probit regression when few simulation points are used, resulting in a non–...
Rigorous bounds are derived for the effect of round-off errors in variational calculations for eigenvalues of linear operators. These bounds are simple to compute. They are used to derive an alternative variation principle which minimizes the effect of round-off errors. A numerical example of the ...
Because of its regular sample space and orientation, the DTA results often show significant octant 'bias', presenting obvious visual and numerical error patterns. Moreover, other DEM data properties may also introduce errors in slope and aspect computation, such as data precision and spatial ...