On asymptotic extrapolation
نویسندگان
چکیده
منابع مشابه
Algorithms for asymptotic extrapolation
Consider a power series f ∈ R[[z]], which is obtained by a precise mathematical construction. For instance, f might be the solution to some differential or functional initial value problem or the diagonal of the solution to a partial differential equation. In cases when no suitable method is beforehand for determining the asymptotics of the coefficients fn, but when many such coefficients can b...
متن کاملAsymptotic analysis of extrapolation boundary conditions for LBM
We present an investigation of extrapolation boundary conditions for lattice Boltzmann method (LBM) using asymptotic analysis. Equilibrium and non-equilibrium extrapolation methods for velocity and pressure boundary conditions proposed in the literature were tested numerically in specific cases. We analyse these boundary conditions using asymptotic expansion techniques and show an improvement i...
متن کاملAsymptotic analysis of a generalized Richardson extrapolation process on linear sequences
In this work, we give a detailed convergence and stability analysis for the author’s generalized Richardson extrapolation process GREP(m) as this is being applied to linearly convergent or divergent infinite sequences {An}, where An ∼ A + ∑m k=1 ζ n k ∑∞ i=0 βkin γk−i as n → ∞, ζk = 1 being distinct. The quantity we would like to compute is A, whether it is the limit or antilimit of {An}. Such ...
متن کاملSelf-Similar Extrapolation of Asymptotic Series and Forecasting for Time Series
The method of extrapolating asymptotic series, based on the Self-Similar Approximation Theory, is developed. Several important questions are answered, which makes the foundation of the method unambiguous and its application straightforward. It is shown how the extrapolation of asymptotic series can be reformulated as forecasting for time series. The probability measure is introduced characteriz...
متن کاملOn a Boundary Extrapolation Theorem by Kreiss
A hardly known and very important result of Kreiss is proven explicitly: Outflow boundary extrapolation, which complements stable dissipative schemes for linear hyperbolic initial value problems, maintains stability. In view of this result, the Lax-Wendroff and the Gottlieb-Turkel schemes are applied to a test problem. As expected from the rate-of-convergence theory by Gustafsson, global order ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2009
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2009.01.001