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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 131 for “"Asymptotic analysis"”.
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Asymptotic analysis for multi-user channels
This dissertation studies the asymptotics of two multi-user channel problems. The fingerprinting channel is associated with digital fingerprinting, which is an emerging technology to protect multimedia from unauthorized redistribution. The encoder embeds fingerprints into a host sequence and …
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Asymptotic analysis of extreme electrochemical transport
… reactions with Butler-Volmer kinetics. Our analysis differs from previous studies in two significant ways. First, we impose the full nonlinear, reactive boundary conditions appropriate for electrolytic/galvanic cells.
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Asymptotic analysis of vibrations of thin cylindrical shells
An algorithm for the asymptotic solution of boundary value problems involving vibrations of thin cylindrical shells by means of symbolic computation is presented. The algorithm is based on the method of asymptotic integration of the vibration equations of thin shells, developed by Goldenveizer, …
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Asymptotic analysis of lattices and tournament score vectors.
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1979.
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Asymptotic analysis of mass-dominated convection in a nanofluid
The threshold conditions for the onset of convection in colloidal suspensions is investigated using the particulate medium formulation. We consider a dilute liquid suspension of solid spherical particles that is confined between two horizontal plates of infinite extent placed at the vertical …
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Asymptotic analysis of hypersonic vehicle dynamics along entry trajectory
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1991.
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Asymptotic analysis of the parametrically driven damped nonlinear evolution equation
Singular perturbation methods are used to obtain amplitude equations for the parametrically driven damped linear and nonlinear oscillator, the linear and nonlinear Klein-Gordon equations in the small-amplitude limit in various frequency regimes. In the case of the parametrically driven linear …
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Asymptotic Analysis of Some Stochastic Models from Population Dynamics and Population Genetics
Near the beginning of the last century, R. A. Fisher and Sewall Wright devised an elegant, mathematically tractable model of gene reproduction and replacement that laid the foundation for contemporary population genetics. The Wright-Fisher model and its extensions have given biologists powerful …
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Asymptotic analysis of hypersonic boundary layers over an adiabatic wall with deformations
<p>Following the achievement of a man made vehicle attaining hypersonic speeds in the late 1940's, hypersonic flow quickly became a field great interest. Early on, in the 50's and 60's, analytic methods for hypersonic flow were developed by early pioneers of the field, but by the late 60's and into …
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Asymptotic Analysis and Performance-based Design of Large Scale Service and Inventory Systems
… heavy-traffic limit theory to derive asymptotically optimal capacity decisions, giving the desired level of delay and availability performance with minimum investment. The results provide near-optimal solutions and insights to otherwise analytically intractable problems.</p> <p>The …
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Explosions and unbounded growth in nonlinear delay differential equations: Numerical and asymptotic analysis
This thesis investigates the asymptotic behaviour of a scalar, nonlinear dierential equation with a fixed delay, and examines whether the properties of this equation can be replicated by an appropriate discretisation. We begin by considering equations for which the solution explodes in finite time. …
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Keller-Segel-Type Models and Kinetic Equations for Interacting Particles: Long-Time Asymptotic Analysis
… The first and second parts focus on long-time asymptotics of macroscopic and kinetic models respectively, while in the third part we connect these regimes using different scaling approaches. (1) Keller–Segel-type aggregation-diffusion equations: We study a Keller–Segel-type model with …
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Rapid Approximation of Bilinear Forms Involving Matrix Functions Through Asymptotic Analysis of Gaussian Node Placement
… needs to be improved. We will carry out an asymptotic study to determine how these approximations behave at high frequencies to develop a formula to reduce the computation of each node while still achieving a high level of accuracy. Our numerical results will reveal that our method does …
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Optimal inventory control for assemble-to-order systems: A stochastic programming based asymptotic analysis framework
… a four-step Stochastic Programming (SP) based asymptotic analysis framework. The SP model, as a surrogate model to ATO systems, is easier to solve and can provide vital guidance in developing novel inventory control policies. And asymptotic analysis can be used to show that the inventory …
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Computational Aspects of An Asymptotic Analysis of Method of Moments Estimators of Parameters For the Binomial Distribution
… I use the Delta method to develop the asymptotic distribution of p ̂_n, m ̂_n, p ̃_n and m ̃_n. The formulae used to calculate the confidence region are also highlighted in this thesis. These formulae allow us to draw confidence ellipses for the parameters. For the 100(1-α)% confidence …
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Asymptotic Analysis of Perturbations to Travelling Wave Solutions of Nonlinear Advection-Reaction-Diffusion Equations of Fisher Type
In this thesis we examine some nonlinear advection-diffusion-reaction equations of Fisher type. First we discuss the stability properties of the equations by writing each nonlinear equation as a system of two ordinary different equations and then analyzing the stability of their equilibrium …
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Numerical Treatment of Non-Linear singular pertubation problems
… problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past decade. By considering two test problems, rigorous asymptotic analysis is carried out. Based on this analysis, suitable numerical methods are designed, analyzed and implemented in order to …
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Construction of nonlinear filter algorithms using the saddlepoint approximation
… the form of the integrand that is typical in the asymptotic analysis literature do not necessarily hold in the filtering context. We show that the assumptions typical in asymptotic analysis (and which are directly applicable in statistical inference since the statistics applications usually …
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