Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 22 for “"exponential convergence"”.
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The Computation of Exact Green's Functions in Acoustic Analogy By a Spectral Collocation Boundary Element Method
… smooth and non-smooth boundaries, resulting in exponential convergence on smooth boundaries. Solution singularities at boundary corners are dealt with via an exponential grading element refinement. With proper refinement, exponential convergence is also obtained for non-smooth boundaries. The …
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Towards practical theory : Bayesian optimization and optimal exploration
… this work solves an open problem and achieves an exponential convergence rate. For learning algorithms, this thesis proposes a new analysis framework, called PACRMDP, and improves the previous theoretical bounds. The PAC-RMDP framework also provides a unifying view of some previous near-Bayes …
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Multivariable Adaptive Control
… estimation schemes are formulated. Parameter convergence is guaranteed provided some conditions on /a priori/ information are satisfied. The requested prior knowledge is formulated in terms of the non-invertible system for the suggested prediction error identification algorithm. The second …
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Self-shrinkers of mean curvature flow and harmonic map heat flow with rough boundary data
… assumption is needed. Also, we prove the exponential convergence of the harmonic map heat flow, assuming that the energy is small at all times. Third, we prove that smooth self-shrinkers in the Euclidean space, that are entire graphs, are hyperplanes. This generalizes an earlier result by …
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Highly scalable solution of incompressible Navier-Stokes equations using the spectral element method with overlapping grids
… developments maintain the third-order temporal convergence and exponential convergence of the originating SEM framework. This dissertation also presents a mesh optimizer that has been specifically designed for meshes generated for turbulent flow problems. The optimizer supports surface mesh …
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A new numerical method for the problem of nonlinear long-short wave interactions
… solution of the transformed BVP, while ensuring exponential convergence with respect to the Chebyshev order of expansion K.
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Fine properties of stochastic evolution equations and their applications
… transition semigroups. Moreover, the uniformly exponential convergence of the transition semigroup to the invariant measure and the existence of a spectral gap are also obtained. These results are first established for general stochastic evolution equations with strongly dissipative drift, e.g. …
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Analytical and Numerical Study of Lindblad Equations
… is also studied. Moreover, we study the exponential convergence behavior of these Lindblad equations to their equilibria, quantified by the whole family of sandwiched Rényi divergences.</p>
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Fast multipole acceleration of periodic Green's function using spherical harmonics and Ewald summation
… Ewald summation can be used to evaluate PGF with exponential convergence and high accuracy. Despite the use of Ewald summation to evaluate PGF quickly, the MOM solution for a periodic scattering problem is still too slow. The matrix fill time for a scatterer with only a few thousand unknowns …
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Mathematical analysis of a dynamical system for sparse recovery
… of this thesis are threefold. First, convergence results for neural networks that solve a large class of nonsmooth optimization programs are presented. These results extend previous analysis by allowing the interconnection matrix to be singular and the activation function to have many …
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Surface textures and non-Newtonian fluids for decreased friction in full film lubrication
… Reynolds equation in cylindrical coordinates. Exponential convergence is shown with this solution method and favorable results to the experimental results are shown, validating the numerical method for use in optimization of the surface textures. A recent trend in the lubrication industry has …
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Discrete-time Contraction Analysis and Controller Design for Nonlinear Processes
… for discrete-time systems, which ensure the exponential convergence between system responses and feasible time-varying references, are derived. The discrete-time differential dissipativity condition is further developed, which can be used for disturbance rejection control designs. …
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Switching observer design, consensus management, and time-delayed control with applications for rigid-body attitude dynamics
… with nonlinear perturbations is proven to be exponentially stable inside a well characterized region of attraction for an appropriately chosen average dwell time. Finally, this dissertation provides a new switching angular velocity observer formulation to the classical problem of rigid body …
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Control Theoretic Methods In Analysis And Design Of Optimization Algorithms
… programming framework able to certify both exponential and subexponential convergence rates for a wide range of algorithms. We illustrate the utility of our results by analyzing the gradient method, proximal algorithms and their accelerated variants for (strongly) convex problems. We also …
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations
… is shown to be necessary and sufficient for exponential convergence to a nontrivial limit. Next, a Volterra equation with a fading stochastic perturbation is studied. Two types f stochastic convergence are considered: mean square and almost sure convergence. Conditions re found which ensure …
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A model predictive control approach to a class of multiplayer minmax differential games
… the inner subproblems to achieve overall convergence; our method guarantees exponential convergence. We focus on a specific semi-infinite minmax MPC problem called the harbor defense problem. First, we present foundational work on this problem in a formulation containing a single defender …
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A Line Outage Study for Prediction of Static Power Flow Redistribution
… the outage line and each line in the system. An exponential convergence tendency is found between maximum possible LODF predicted power flow variations and electrical distance, and an exponential regression method is applied to analyze this tendency. The contribution of this work is a rule has …
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Chebyshev spectral methods for potential field computation
… method. Numerical results show that the convergence rate of the new method is much faster than that of the spectral multi grid method. When there are discontinuities in the source function f and/or the conductivity o, the single-domain Chebyshev spectral method does not converge …
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Consensus in multi-agent systems with time-delays
… connected directed graphs is proposed and its convergence properties with respect to time delays in the local state update are characterized. The convergenc e properties of this algorithm depend upon a tuning parameter that an be made arbitrary small to prove stability of the networked system. …
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Stochastic sequential assignment problem
… An approximate algorithm is presented, and convergence of the approximate value function to the optimal value function is established under mild conditions. The second part of this thesis analyzes the limiting behavior of the SSAP as the number of assignments approaches infinity. The optimal …
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