perturbation theory

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perturbation theory

n.
A set of mathematical methods often used to obtain approximate solutions to equations for which no exact solution is possible, feasible, or known.
References in periodicals archive ?
They cover norms and perturbation analysis, least squares problems, generalized inverses, the conjugate gradient method, optimal and super-optimal preconditioners, optimal preconditioners for functions of matrices, and B|ttcher-Wenzel conjecture and related problems.
In this paper we present a complete perturbation analysis of the [H.
The controller is designed for the network-free control system and then a perturbation analysis is performed for the networked system.
But, knowing that turbulence is fundamentally non-linear, the team decided a non-linear perturbation analysis was exactly what was called for.
Other topics of the 15 papers include dynamic spectrum access, perturbation analysis for spectrum sharing, optimal RF beamforming for MIMO cognitive networks, computation of performance parameters, and emergency cognitive radio ad hoc networks.
The project has three components: (1) a study of variation in longevity, focusing on perturbation analysis of Markov chain models for mortality, (2) an analysis of the reward structure of populations, to quantify individual stochasticity in reproduction and other properties, and (3) the development of models to incorporate heterogeneity and stochasticity into branching process models and diffusion models.
Instead of going in for the conventional transmission line theory, Floquet theorem and the equivalent circuit approach, we use singular perturbation analysis.
Therefore, the hydrogen bond strength was estimated using a simulation model and the second order perturbation analysis.
Perturbation analysis in reticulospinal neurons and surrounding tissue
Yih (1967) used a long-wave perturbation analysis to show that two-layer, viscosity-stratified plane Poiseuille flow and plane Couette flow can be unstable for arbitrarily small Reynolds numbers.
The author seeks to help the student analyze simple models, recognize nonlinear phenomena, and work with advanced tools, such as perturbation analysis and bifurcation analysis.
Accurate predictions of noise spectra result from a perturbation analysis of the oscillatory steady-state, making use of rigorous models of low frequency device noise.