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Averaging Theory for Fractional Differential Equations

Fractional Calculus and Applied Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Guanlin, Lehman, Brad
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The Theory of Averaging

1985
This chapter will be concerned with the theory of averaging for equations in the standard form $$\dot x = \in f\left( {t,x} \right) + { \in ^2}R\left( {t,xm \in } \right)$$
Jan A. Sanders, Ferdinand Verhulst
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On the convergence of Z-averaged perturbation theory

The Journal of Chemical Physics, 2008
Very high order open-shell Z-averaged perturbation theory (ZAPT) energies, equilibrium bond lengths, and harmonic vibrational frequencies have been computed for a suite of small molecules using a determinantal algorithm. The convergence of ZAPTn energies is compared to alternative Møller–Plesset (MP) perturbation theories built on restricted open-shell
Steven E, Wheeler   +2 more
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Ergodic Theory and Averaging Iterations

Canadian Journal of Mathematics, 1973
Suppose X is a Banach space and T a continuous linear operator on X. The significance of the asymptotic convergence of T for the approximate solution of the equation (I - T)x = f by means of the Picard iterations was clearly shown in Browder's and Petryshyn's paper [1], The results of [1] have stimulated further investigation of the Picard, and more ...
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Prediction Theory for Autoregressive-Moving Average Processes

Econometric Reviews, 1988
This paper reviews statistical prediction theory for autoregressive-moving average processes wing techniques developed in control theory. It demonstrates explicitly the connectioluns between the statistical and control theory literatures. Both the forecasting problem and the Single extraction problem am considered, udng linear least squares methods ...
Peter Burridge, Kenneth F. Wallis
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Gravitation as an averaged theory

International Journal of Theoretical Physics, 1984
A result due to Eisenhart is used to justify an averaging process of a theory of gravity. More results of the theory are also deduced, similar to those derived by Einstein for the Nordstrom theory.
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On the reduction theory for average case complexity

1991
This is an attempt to simplify and justify the notions of deterministic and randomized reductions, an attempt to derive these notions from (more or less) first principles.
Andreas Blass, Yuri Gurevich
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On the Theory of Averaging

1976
The purpose of this paper is to present a number of recently obtained results in averaging, both in theory and in applications, and to show at the same time what kind of pitfalls there are in applying the theory to problems in dynamics.
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AVERAGE CASE COMPLEXITY THEORY

Missouri Journal of Mathematical Sciences
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