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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 23 for “"polynomial interpolation"”.
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Some problems in polynomial interpolation and topological complexity
… in R^d which impose independent conditions on polynomials of degree n, and which have Lagrange polynomials of a special form. These sets were introduced by Chung and Yao in a 1977 paper in the SIAM Journal of Numerical Analysis in the context of polynomial interpolation. There are several …
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A Structure-based Attack on the Linearized Braid Group-based Diffie-Hellman Conjugacy Problem in Combination with an Attack using Polynomial Interpolation and the Chinese Remainder Theorem
… that combines Gaussian elimination with integer polynomial interpolation and the Chinese remainder theorem (CRT), instead of fast matrix multiplication as suggested by others. The major idea here is to distribute the task of solving a system of linear equations over a giant finite field to …
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Quick Evaluation of Small Body Gravitation
… force near a small body: (i) adaptive polynomial interpolation, (ii) adaptive polynomial least squares approximation, and (iii) acceleration via specialized, commodity hardware. Each method is evaluated on its quantitative accuracy with respect to a reference model, and its observance …
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Sensitivity Enhanced Model Reduction
… range of parameters. Various techniques based on polynomial interpolation and basis alteration are compared. These techniques are performed on a 1-dimensional reaction-diffusion equation and 2-dimensional incompressible Navier-Stokes equations solved using the finite element method (FEM) as the …
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A doubly-curved finite element analysis of thin arbitrary shell structures
… by "incomplete" cubic, natural coordinate, polynomial interpolation functions. A WATFIV/FORTRAN computer code utilizing this element in a linear elastic static analysis of thin shell structures is formulated and presented. Demonstration problems are presented and comparisons are made with …
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Retail Price Time Series Imputation
… Price Change Lookup, Central Moving Average, and Polynomial Interpolation. We also introduce four other methods that extend the basic RPSTI method by considering retail prices for similar products sold by the retailer and similar products sold by competitors: namely, RPTSIC, RPTSI-CR, RPTSI-P, and …
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Stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition
… summation-by-parts derivative operators and polynomial interpolation. Numerical regularization is not required for stability in the linear limit. Applications to linear and nonlinear problems in one and two dimensions are presented and new high-order generalized summation-by-parts derivative …
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A New Adaptive Array of Vibration Sensors
… of the structure in real time using Lagrange polynomial interpolation formula. An experiment is done with an array of piezoelectric polyvinylidene fluoride (PVDF) film segments on a beam to obtain the segment outputs. The results from the experiment are used to verify a computer simulation …
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A Low-Complexity Algorithm for Trajectory Generation in the Three-Body Problem
… problem. The proposed algorithm solves a polynomial interpolation problem, formulated using state measurements, through the unique decomposition of a dense system into sparse matrices. Several relevant Cislunar trajectories are simulated using the algorithm, yielding favorable results in …
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Principal Component Regression for Construction of Wing Weight Estimation Models
… data of 41 subsonic transports by three types of interpolation methods---least polynomial interpolation, radial basis function interpolation, and Kriging interpolation. The objective of this thesis is to develop an automatic procedure of using this interpolation methods for construction of an …
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Assessment of Atrazine in a Rural Water Source: Rough River Lake, Kentucky
… rounds. Two sites exceeded 10 ppb. Global Polynomial Interpolation Analysis was used as both a data exploration tool and a way to demonstrate a definite spatial and temporal pattern to atrazine within the study area. It was also concluded, the reservoir with its larger volume and lower …
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Spin Polarization of Ground State Electron Gas at Low Densities
… comes into the Hamiltonian. We present a cubic polynomial interpolation for an accurate estimation of the path integral of this potential. We perform our calculations with different densities and polarizations, to determine the polarization transition point of ground state electron gas in both …
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Directional image representations using nonseparable lifting
… nature of the data and dimensional degeneracy of polynomial interpolation over various point sets, our directional image representation was not able to provide a coding gain over traditional methods.
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Approximations by means of continued fractions
… in the evaluation of integral functions, polynomial interpolation, rational functions and similar problems. This study has developed rapidly during the past sixty years and much research continues to be done. The development during the past decade of programmed electronic digital computers …
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Non-Parametric Spatial Models
… of the non-parametric model is the Lagrange polynomial interpolation. In the second part, we focus on a non-parametric approach that can lead to a covariance function that is appropriate for modelling teleconnection. We will apply this approach to the study of teleconnection of temperature …
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Efficient modeling of sound source radiation in free-space and room environments
… developed in this work: one based on piece-wise polynomial interpolation (which is limited to having only a single source) and the other based on least squares (which can be applied to multiple sources and even to interior problems). Simulation results have shown that these local-basis methods, …
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A comparative study between the cubic spline and b-spline interpolation methods in free energy calculations
… to solve it with basic arithmetic operations. Interpolation is a commonly-used method, inter alia, constructing the value of new data points within an interval of known data points. Furthermore, polynomial interpolation with a sufficiently high degree can make the data set differentiable. One …
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High order numerical methods applied to the analysis of transport phenomena in combustion
… responsible for the vigorous oscillations of polynomial interpolations performed on equispaced nodes. By following the philosophy behind the Chebyshev polynomials, the idea of an optimum grid for piecewise polynomial interpolations of degree q _ N is introduced. It is then shown, that when q = …
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Polynomial methods in statistical inference: Theory and practice
… of samples. In this dissertation, we apply the polynomial methods to several statistical questions with rich history and wide applications. The goal is to understand the fundamental limits of the problems in the large domain regime, and to design sample optimal and time efficient algorithms with …
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Polynomial-Based Methods for Time-Integration
… framework that is based on interpolating polynomials, and the second extends exponential integration to the spectral deferred correction framework. Both parts discuss time integration methods that can be derived without solving nonlinear order conditions. In part I, we introduce a …
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