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A Topological–Analytical Method for Proving Averaging Theorems on an Infinite Time Interval in a Degenerate Case
AbstractWe present a topological–analytical method for proving some results of the N. N. Bogolyubov averaging method for the case of an infinite...
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On the Averaging Principle for Semilinear Functional Differential Equations with Infinite Delay in a Banach Space
We establish averaging results for semilinear functional-differential equations with infinite delay in an abstract phase space of axiomatically...
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Averaging
This chapter is an introduction to the method of averaging—a far-reaching and rich mathematical subject that has many important applications. Our...
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First Order Periodic Averaging
We have seen averaging results in the Introduction. We will explain now the theory for O(ε) approximations on a long timescale.
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On the Averaging Principle of Caputo Type Neutral Fractional Stochastic Differential Equations
In this manuscript, we study the averaging principle for a class of neutral fractional stochastic differential equations. Firstly, the existence and...
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The Effects of Time-Averaging on Archaeological Networks
It is well recognized that time-averaging of archaeological deposits results in significant biases in interpretations of the archaeological record....
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Averaging on Macroscopic Scales with Application to Smoluchowski–Kramers Approximation
This paper develops an averaging approach on macroscopic scales to derive Smoluchowski–Kramers approximation for a Langevin equation with state...
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Second Order Periodic Averaging
To improve the averaging approximation to second order in ε we can be motivated by the necessity of more precision but, more importantly, also by the...
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Quantifying Outcome Functions of Linear Programs: An Approach Based on Interval-Valued Right-Hand Sides
This paper addresses a linear programming problem with interval right-hand sides, forming a family of linear programs associated with each...
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Ensemble averaging versus non-self-averaging: survival probability in the presence of traps-sinks
We consider nonstationary diffusion in a medium with static random traps-sinks. We address the problem of self-averaging of the survival probability...
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Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain
We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with free end and arbitrary initial temperature profile. An analytical...
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Optimal Control Over Systems of Functional-Differential Equations With Infinite Delay
We consider the optimal control problem for systems with infinite memory whose models are described by functional-differential equations. We prove...
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Linear Methods: Kernels, Variations, and Averaging
In this chapter, we describe linear methods based on kernels or averaging. Principal component analysis (PCA) is a basic method for dimension...
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Averaging-Based Characteristics of the Response Induced by Combined Random and Harmonic Excitation
Slender engineered structures are sensitive to unwanted vibration effects mainly due to their soft nature. With respect to physical laws, the...
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Derivation of the Basic Magnetohydrodynamic Dynamo Equations Obtained by the Vector Potential Averaging in a Time Short-Correlated Turbulence
AbstractThe freezing of a magnetic field into a turbulent flow of a conducting fluid or plasma at high magnetic Reynolds numbers can lead to an...
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Alternating Projection Method for Intersection of Convex Sets, Multi-Agent Consensus Algorithms, and Averaging Inequalities
AbstractThe history of the alternating projection method for finding a common point of several convex sets in Euclidean space goes back to the...
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Model averaging estimation for nonparametric varying-coefficient models with multiplicative heteroscedasticity
In the last few years, frequentist model averaging has received more and more attention. However, the majority of related work focuses on the...
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Averaging aggregation under uncertainty and bipolar preference environments
Uncertainty in information provides the possibility of having and applying preferences, and therefore, it necessitates the study of...
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The generalized modular string averaging procedure and its applications to iterative methods for solving various nonlinear operator theory problems
A modular string averaging procedure (MSA, for short) for a finite number of operators was first introduced by Reich and Zalas in 2016. The MSA...
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A precision test of averaging in AdS/CFT
We reconsider the role of wormholes in the AdS/CFT correspondence. We focus on Euclidean wormholes that connect two asymptotically AdS or hyperbolic...