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 Expansion"”.
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Engaging in Conceptual Understanding of Limits in Secondary Calculus
… calculus. The non-sequential lessons focus on polynomial expansion and division, and composite functions as they apply to understanding limits. The definition of the derivative is presented conceptually. These are presented through guided notes, partner practice, and homework. Keys for each of …
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Graph Theoretical Modelling of Electrical Distribution Grids
… and the classification of that family as having polynomial expansion.</p>
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Efficient multidimensional uncertainty quantification of high speed circuits using advanced polynomial chaos approaches
… novel approaches based on the generalized polynomial chaos (gPC) theory for the efficient multidimensional uncertainty quantification of general distributed and lumped high-speed circuit networks. The key feature of this work is the development of approaches which are more efficient and/or …
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Transported snapshot model order reduction approach for parametric, steady-state fluid flows containing parameter dependent shocks
… can be accurately expressed using a low-order polynomial expansion. Similar to traditional projection-based model order reduction approaches, the proposed method is formulated mathematically as a residual minimization problem for the generalized coordinates. The method is successfully applied …
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Some Solutions to a Lens Model With Applications to Warm-Core Eddies
… environmental flows. The solution scheme is a polynomial expansion of the field variables. When inserted into the hydrographic equations, the expansion yields eight first-order differential equations for the time dependent amplitudes. This system of ordinary differential equations is …
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Steady Asymmetric Flow Of A Viscous Fluid Past A Cylinder
… vorticity is obtained in the form of a Hermite polynomial expansion. This solution is in perfect agreement with Imai (1953). The asymptotic solution involves unknown constants (namely the lift and drag coefficients) which must be obtained from a numerical solution valid near the cylinder. …
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Parametric uncertainty analysis for complex engineering systems
… equivalent modeling method (DEMM), which applies polynomial chaos expansions and the probabilistic collocation approach to transform the stochastic model into a deterministic equivalent model. By transforming the model the task of determining the probability density function of the model response …
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Design and characterization of a smart bit for in-situ force measurement, using capacitive load cells and acoustic spectra analysis to determine rock type and tool wear in rock excavation process
… small neural network regression and a 2nd order polynomial expansion, it is able to measure rock cutting forces with a mean absolute error less than 4 kilonewtons and an R 2 score greater than 0.8 under tested conditions. This is slightly better than the linear regression performance on the same …
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Development of large scale tight-binding methods, and application to electron transfer in symmetric dielectric barrier discharges (DBDS)
… via matrix-vector multiplication, by combining polynomial expansion and polynomial purification methods that are well-known in the tight-binding literature, allowing us to simulate multi-million atom systems on a large memory node on the campus cluster, as well as demonstrations of larger …
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Mathematics, Methods, and Models for Data-Driven Rheology
… Superposition (MAPS) rheology. Based on a polynomial expansion of the general time-invariant functional relationship between shear stress and strain (or strain rate) in simple shear flows, MAPS reveals a common embedding for many previously disconnected data sets. This asymptotic framework …