Results 211 to 220 of about 368,612 (246)

Interpolation strategies in repeated Richardson extrapolation

Journal of Intelligent & Fuzzy Systems, 2016
We discuss the interpolation strategies related to Richardson extrapolation and repeated Richardson extrapolation. We emphasize that, in most computations, the interest is in obtaining accurate solution on the current computational grid, not that on the coarse level grids on which the extrapolated solutions reside.
Cong Zhang, Jun Zhang
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Comments on the Richardson Extrapolation

Nuclear Science and Engineering, 1986
(1986). Comments on the Richardson Extrapolation. Nuclear Science and Engineering: Vol. 92, No. 3, pp. 489-489.
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Factors of Safety for Richardson Extrapolation

Journal of Fluids Engineering, 2010
A factor of safety method for quantitative estimates of grid-spacing and time-step uncertainties for solution verification is developed. It removes the two deficiencies of the grid convergence index and correction factor methods, namely, unreasonably small uncertainty when the estimated order of accuracy using the Richardson extrapolation method is ...
Tao Xing, Frederick Stern
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Estimation of convergence orders in repeated richardson extrapolation

BIT, 1989
The main goal of this paper is to estimate the order of the leading term in the error of Richardson extrapolation in the case the values of the exponents in the relevant asymptotic expansion are not known in advance.
Christiansen, Edmund, Petersen, Henrik Gordon   +1 more
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Accuracy of the Richardson Extrapolation Method in Eigenvalue Problems

Cybernetics and Systems Analysis, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maiko, N. V., Prikazchikov, V. G.
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On the Richardson Extrapolation as Applied to the Sequential Splitting Method

2008
It is known from the literature that applying the same ODE solver by using two different step sizes and combining appropriately the obtained numerical solutions at each time step we can increase the convergence order of the method. Moreover, this technique allows us to estimate the absolute error of the underlying method.
István Faragó, Ágnes Havasi
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Reply to “Comments on Richardson Extrapolation”

Nuclear Science and Engineering, 1986
(1986). Reply to “Comments on Richardson Extrapolation”. Nuclear Science and Engineering: Vol. 92, No. 3, pp. 489-490.
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Richardson Extrapolation with Finite Elements

1987
In a recent paper by H. Blum, Lin Q., and the author,[l], it has been shown that the Ritz projection method with linear finite elements admits an asymptotic error expansion for certain classes of “uniform” meshes. This provides the theoretical justification for the use of Richardson extrapolation or related correction processes for increasing the ...
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The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points

SIAM Journal on Numerical Analysis, 2000
Let $A(y)\sim A+\sum^\infty_{k=1}\alpha_ky^{\sigma_k}$ as $y\rightarrow 0+$, where y is a discrete or continuous variable. Assume that $\sigma_k$ are known numbers that may be complex in general and that A(y,) is known for $y\in(0,b]$ for some b>0.
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On the Consistency and Convergence of Repeated Richardson Extrapolation

2023
Teshome Bayleyegn, István Faragó, Ágnes Havasi   +2 more
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