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 10 of 10 for “"Polynomial Basis"”.
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Localized Method Of Approximate Particular Solutions For Solving Optimal Control Problems Governed By PDES
… of approximate particular solutions(LMAPS) with polynomial basis, and radial basis functions are proposed and applied on the optimal control problems(OCPs) governed by partial differential equations(PDEs).</p> <p>This study proceeds in several steps. First, polynomial basis and radial basis …
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Implementation of SCA-Resistant CPU and an ECDLP Engine on FPGA Platform
… We propose a novel, generalized architecture for polynomial-basis multiplication over prime field and its extension to a dedicated square module. Its design strategy is portable to other prime field moduli.
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Trajectory Planning for Flights in Multiagent and Dynamic Environments
… are imposed using the Bernstein and B-Spline polynomial bases, which do not tightly enclose a given interval of a polynomial trajectory. Second, multiagent planners usually make centralized and/or synchronized computation assumptions, which lead to poor scalability with the number of agents or …
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An effective overlapping finite element method : the method of finite spheres for three-dimensional linear elasticity problems
… scheme for the integration of complicated non polynomial basis functions, is introduced for three-dimensional spherical domains. The three-dimensional formulation of the method of finite spheres is implemented in a commercial finite element analysis program with the user-element subroutine, in …
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Dynamics and Control of Membrane Mirrors for Adaptive Optic Applications
… correct for optical aberrations, so the Zernike polynomial basis functions are used. A transformation from the optical modes to the mechanical modes is presented and an augmented adaptive controller is used to correct for image aberrations. The results presented show the efficacy of the …
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Accelerating Bayesian inference in computationally expensive computer models using local and global approximations
… global approximations using an orthonormal polynomial basis. We rigorously construct a Smolyak pseudospectral algorithm, which uses sparse sample sets to efficiently extract information from loosely coupled functions. We provide a theoretical discussion of the behavior and accuracy of this …
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Hardware Implementations for Symmetric Key Cryptosystems
… are represented in either the Optimal normal basis type-II (ONB-II) or the Polynomial basis (PB). For WG-$16$, optimizations are considered only for PB representations of the $GFleft(2^{16}right)$ elements. In this regard, optimizations for both ciphers are accomplished mainly at the …
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Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes
… a space-time finite element framework, where the basis and test functions are piecewise polynomials in both space and time. Formal substitution of the discrete momentum equation on the dual grid into the discrete continuity equation on the primary grid yields a very sparse system for the scalar …
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Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra
… methods for solving problems in linear and polynomial algebra. We mainly address the approximate GCD problem for polynomials, and problems related to parametric and polynomial matrices. For symbolic methods, our main concern is their complexity and for the numerical methods we are more …
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Aplicación de Métodos Meshless al Análisis de Problemas de Autovalores
… is based on the following factors: order of the polynomial basis p(x), features of the weight function w(x), and shape and size of the support domain of this weight function. The individual contribution of each of these factors, along with the interactions among them, has been studied in both …