A Taylor series analysis is performed on the discrete Boltzmann model in order to assess the consistency. The truncation error terms do not indicate any error increase along the radial direction, but they contain a spurious term ur/r which considerably reduces the model accuracy when radial ...
Truncationerrorresultsfromusingonlythefirstfewtermsofaninfiniteseries. 舍弃误差则因在无穷级数中仅计算及有限项数而造成。 www.tdict.com 3. Thetruncationerrorotthecomputationformulaofsolarabsorptance,usedinengineering, has beenanalyzedanddiscussedindetail. ...
兰州交通大学数理与软件工程学院NumericalAnalysisExtrapolation can appliedwhenever truncationerror formulahas constantsKjand when nextexample we have 2j11 mjjmjhOhKααE
error threshold value (it should work with vectors) 2. Find the number of terms (minimum n) needed so that the truncation error is below the user error threshold for x = -2π to 2π. 3. Print the minimum n value, the mean truncation error and...
The incremental perturbation method enables a numerical dynamic analysis of structure to provide automatically a proper time length at every incremental step. In this paper, an effective strategy for truncation error control is proposed in order to compute an appropriate value of the time length. The...
This allows us to explain experimental results observed in quadrature calculations and in physical chemistry and solid state physics computations which are based on continued fraction recurrences.doi:10.1007/BF02142693Gene H. Golub... GH Golub,Zdeněk Strako - 《Numerical Algorithms》 被引量: 236发表...
Low-rank Krylov methods are one of the few options available in the literature to address the numerical solution of large-scale general linear matrix equat
The review of the optimal local truncation error method (OLTEM) for the numerical solution of PDEs is presented along with some new developments of OLTEM. First, we explain the basic ideas of OLTEM for the 1-D wave equation and then we extend them to the time-dependent PDEs (the scalar...
The reduced order models which are guaranteed to be stable in case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. A numerical example and comparison with other well-known techniques show ...
In section 4, we warm up for the interacting CS case with an analysis of the O(N ) model at infinite N . In section 5, we apply these methods to the Chern-Simons theory at infinite Nf , where we compute the spectral functions of the currents at finite max analytically. We show ...