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Showing 1 to 20 of 109 for “"Legendre"”.
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The Legendre Transform of the Holst Action
… form of General Relativity, then I review the Legendre transform of the Einstein-Hilbert action and the Palatini action. The Holst action is a generalization of the Palatini action by including a topological term. I derive Ashtekar's connection form directly from this action by doing the …
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Optimal orbital transfer using a Legendre pseudospectral method
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2003.
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New identities for Legendre associated functions of integral order and degree
… systems) these expansions are given in terms of Legendre associated functions of integral order and degree. Starting with Dougall's identities for Legendre associated functions of non-integral degree, new identities for infinite series of Legendre associated functions of integral degree are …
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A Legendre spectral element method for the rotational Navier-Stokes equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
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A Legendre Pseudospectral Method for rapid optimization of launch vehicle trajectories
A Legendre Pseudospectral Method for launch vehicle trajectory optimization, pro posed by Mike Ross and Fariba Fahroo of the Naval Postgraduate School, is presented and applied successfully to several launch problems. The method uses a Legendre pseudospectral differentiation matrix to discretize …
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Feature extraction using two dimensional (2D) legendre wavelet filter for partial iris recognition
… developed and implemented two Dimensional (2D) Legendre wavelet filter for the iris feature extraction. The Legendre wavelet filter is to enhance the feature extraction technique. Selected iris images from CASIA, UBIRIS, and MMU database were used to test the accuracy of the introduced …
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Performance optimization study of a Common Aero Vehicle using a Legendre Pseudospectral Method
… to a nonlinear programming problem using a Legendre Pseudospectral Method. The nonlinear programming problem is then solved using a sparse nonlinear optimization algorithm. Once a solution to the CAV mission design problem is obtained, three main studies are conducted. First, the accuracy of …
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A Legendre spectral element method for simulation of incompressible unsteady viscous free-surface flows
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1989.
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Glazman-Krein-Naimark theory, left-definite theory, and the square of the Legendre polynomials differential operator.
… theory associated with the classical Legendre self-adjoint second-order differential operator A in L² (−1, 1) which has the Legendre polynomials {Pn} ∞ n=0 as eigenfunctions. As a consequence, they explicitly determined the domain D(A2) of the self-adjoint operator A2 . However, this …
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Benchmark characterization for reusable launch vehicle onboard trajectory generation using a Legendre psuedospectral [sic] optimization method
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2002.
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Optimization study of a trans-Atlantic abort for the U.S. space shuttle using a pseudospectral Legendre method
… phase optimal control problem. A Pseudospectral Legendre Method is used to discretized the optimal control problem into a nonlinear programming problem, which is then solved using a sparse nonlinear optimizer. The first study conducted compares the trajectories generated to each landing site for …
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Performance Analysis of Direct and Indirect Formulations of the Legendre Pseudospectral Method for the Optimization of Spacecraft Trajectories
L'abstract è presente nell'allegato / the abstract is in the attachment
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A high-order Legendre-WENO numerical scheme for the non-conservative kernel density equations modeling particle-laden flows
… hybrid essentially non-oscillatory scheme with a Legendre basis. A standard WENO scheme is used by default, and a nonlinear mapping is introduced when needed to enforce physically relevant bounds in the solution, especially in areas of particle depletion. The strong stability preserving RK3 scheme …
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Verification and validation of the geometrically exact beam theory with Legendre spectral finite elements for wind turbine blade analysis, A
Composite wind turbine blades continue to get larger and have more complex geometry than ever before. Additionally, they are becoming lighter in proportion to their size. Lighter and larger wind turbine blades result in structures that are highly flexible. It is necessary to have computer aided …
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The temperature distribution on a spherical shell in the presence of a primary radiative source and a reflecting and radiating infinite plane
… to the linearized equation is found in terms of Legendre polynomials and associated Legendre functions. Then some numerical results are obtained for which selected problem parameters are varied.
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Numerical solution of fractional partial differential equations by spectral methods
… matrix methods via Genocchi polynomials and Legendre polynomials for the solution of two and three dimensional FPDEs. Moreover, in this study, Genocchi wavelet-like basis method and Genocchi polynomials based Ritz- Galerkin method have been derived to deal with FPDEs and variable- order …
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Transition Flow in Edge Plasmas: Solution of the Two-Fluid Region With Sources
… isotropic part of the distribution function. A Legendre polynomial decomposition is performed up to an arbitrary order, and the problem for the first Legendre component is treated. Analytic expansions around zero and infinite velocities are performed, and a general solution for the distribution …
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Pulse Coding for ionospheric radar
… better Signal-to-Noise Ratio. A 1019-bit Legendre sequence is going to be used in the CADI system. For the Barker 13, the SNR is improved around 11 dB, but the SNR of a 1019-bit Legendre sequence is improved about 30dB. Some experiments prove this theory. The peak transmitted power can be …
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Flexural-Torsional Coupled Vibration of Rotating Beams Using Orthogonal Polynomials
… and functions studied in the present work are : Legendre, Chebyshev, integrated Legendre, modified Duncan polynomials, the eigenfunctions of a pinned-free uniform beam, and the special trigonometric functions used in conjunction with Hermite cubics. Studied cases are non-rotating and rotating …
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