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.
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Showing 1 to 20 of 63 for “"Hermite"”.
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Sequential nonparametric estimation via Hermite series estimators
… stationary and non-stationary settings based on Hermite series density estimators. In the univariate context we apply Hermite series based distribution function estimators to sequential cumulative distribution function estimation. These distribution function estimators are particularly useful …
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Domain Decomposition Preconditioners for Hermite Collocation Problems
… solving linear systems of equations arising from Hermite bicubic collocation discretization of elliptic partial differential equations on square domains with mixed boundary conditions. The first method, called <i>edge preconditioning</i>, is based on a decomposition of the domain in parallel …
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Discrete Sparse Fourier Hermite Approximations in High Dimensions
… this dissertation, the discrete sparse Fourier Hermite approximation of a function in a specified Hilbert space of arbitrary dimension is defined, and theoretical error bounds of the numerically computed approximation are proven. Computing the Fourier Hermite approximation in high dimensions …
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Digital Transmission by Hermite N-Dimensional Antipodal Scheme
… signs baseband orthogonal waveforms derived from Hermite polynomials. Orthogonality guarantees recoverability of the data from N simultaneously transmitted Hermite waveforms. The signed Hermite waveform is transmitted over a radio link using either amplitude or frequency modulation. The bandwidth …
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Hermite-Hadamard inequality in the geometry of banach spaces
… the geometry of a Banach space. Motivated by the Hermite-Hadamard inequality, a new family of norms is defined, which is called the p-HH-norm. The research outcomes of this thesis make significant contributions in Banach space theory, the theory of means and the theory of inequalities. These …
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Four-wave mixing with hermite-gauss modes in rubidium vapor
… of the incident beams, more specifically of the Hermite-Gauss (HG) modes, is transferred to the generated signal in this nonlinear process. For the experiment, we used a continuous wave diode laser to excite a sample of Rubidium atoms, on the ⁸⁵Rb D2 line, tuned to the frequency of the 5²S_(1/2) …
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A Hermite Cubic Immersed Finite Element Space for Beam Design Problems
This thesis develops an immersed finite element (IFE) space for numerical simulations arising from beam design with multiple materials. This IFE space is based upon meshes that can be independent of interface of the materials used to form a beam. Both the forward and inverse problems associated …
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Performance Analysis and Optimization of Hermite Methods on NVIDIA GPUs Using CUDA
… implementation and performance analysis of Hermite methods on GPU accelerated systems. We give analytic background for Hermite methods; give implementations of the Hermite methods on traditional CPU systems as well as on GPUs; give the reader background on basic CUDA programming for GPUs; …
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Sturm sequences and the eigenvalue distribution of the beta-Hermite random matrix ensemble
… to random matrix ensembles such as the [beta]-Hermite ensemble. Using our techniques, we reduce the time to compute a histogram of the eigenvalues of such a matrix from O(n2 + m) to O(mn) time where n is the dimension of the matrix and m is the number of bins (with arbitrary bin centers and …
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Numerical and Analytical Studies of Electromagnetic Waves: Hermite Methods, Supercontinuum Generation, and Multiple Poles in the SEM
The dissertation consists of three parts: Hermite methods, scattering from a lossless sphere, and analysis of supercontinuum generation. Hermite methods are a new class of arbitrary order algorithms to solve partial differential equations (PDE). In the first chapter, we discuss the fundamentals of …
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Option pricing in a path integral framework
… al. Their method involves the use of a Fourier-Hermite series expansion which represents the option value at each time step. The Hermite orthogonal polynomials and their associated properties are employed to create a set of recurrence relations so that a final option pricing polynomial is …
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Approximation of wave packets on the whole real line
… for a wave packet in stretched Fourier, Hermite and Malmquist--Takenaka bases respectively. These estimates are extremely accurate in the high frequency regime. The results within these chapters allow us to compare the speed of convergence of the expansion coefficients to determine which …
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A New Asymptotic Expansion for Sums of Random Variables
… involves the cumulants of X, as well as Hermite polynomials. The expansion defined in this thesis uses a rival sequence of coefficients dependent on the probability function p, which does not require the calculation of cumulants, or the use of Hermite polynomials. The advantages of this …
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Eigenvalue statistics for beta-ensembles
… software. We focus on generalizations of the Hermite distributions originating in physics (the "Gaussian" ensembles) and the Laguerre distributions of statistics (the "Wishart" matrices). One of our main contributions is the construction of tridiagonal matrix models for the general (β > 0) 0 …
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ADPATIVE MODE MATCHING UPGRADE FOR ADVANCED LIGO
… convert the bullseye mode into a 45! rotated Hermite-Gauss pringle mode HG11. The rotated mode is perfectly shaped for detection by the existing quadrant photodiode wavefront sensors and can then be used to generate an error signal.</p> <p>The presented experiment shows that higher order modes …
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Elemento finito para placas e cascas usando a teoria de Kirchhoff-Love
… the middle surface normal vectors, it was used Hermite interpolation functions for the transverse displacements and incomplete quadratic polinomials for the in-plane displacements. The finite-element formullated were retangular, conforming and possessed 32 d.o.f.
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Link travel time estimation based on connected vehicle probe data
… Cubic Spline interpolation and Cubic Hermite Spline interpolation. In this research, ten variations of protocol are proposed. Three of them are selected to compare the snapshots generated by F2, F4 and SAE protocol, respectively. The main objective of protocol selection is the number …
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ΥΨΗΛΟΥ ΒΑΘΜΟΥ ΜΕΘΟΔΟΙ ΠΑΡΕΜΒΟΛΗΣ (COLLOCATION) ΜΕ SPLINES ΓΙΑ ΕΛΛΕΙΠΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ
… ΑΠΟ ΑΥΤΕΣ ΠΟΥ ΒΑΣΙΖΟΝΤΑΙ ΣΕ ΠΑΡΕΜΒΟΛΗ ΜΕ ΚΥΒΙΚΑ HERMITE # ΣΕ GALERKIN ΜΕ ΚΥΒΙΚΕΣ SPINE ΣΥΝΑΡΤΗΣΕΙΣ.
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Transmission capacity improvement for high speed multimode waveguide links using advanced optical launch and multilevel modulation schemes
… launch scheme is developed, namely low-loss Hermite-Gaussian launch, to achieve single mode group excitation in the multimode glass fibre. Novel implementations using elliptical Gaussian beam and square-shaped launching profiles are developed, achieving a coupling loss at least 2.5 dB lower …
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A generalization of the Beurling-Hedenmalm uncertainty principle
… gaussian decay, the the coefficients of its Hermite expansion decay fast, and vice versa. We give a new and simple proof of generalisation of Beurling's uncertainty principle first in R using complex analysis. Then we generalise to R^n using various techniques. Also we illustrate connections …
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