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 7 of 7 for “"Generalized Polynomial Chaos (gPC)"”.
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Efficient multidimensional uncertainty quantification of high speed circuits using advanced polynomial chaos approaches
… thesis presents 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 …
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Uncertainty analysis in a shipboard integrated power system using multi-element polynomial chaos
… these systems can be efficiently solved by the generalized Polynomial Chaos (gPC) and Probabilistic Collocation Method (PCM).
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Prediction of Laser Ablation In Brain: Sensitivity, Calibration, and Validation
… validation.</p> <p>The sensitivity study is via generalized polynomial chaos (gPC) paired with a transient finite element (FEM) model. Uniform probability distribution functions (PDFs) capture the plausible range of values suggested by the literature for five model parameters. The five PDFs are …
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Robust State Estimation, Uncertainty Quantification, and Uncertainty Reduction with Applications to Wind Estimation
… describes the theory and process for using generalized polynomial chaos (gPC) to re-cast the dynamics of a system with non-deterministic parameters as a deterministic system. The concepts are applied to the problem of wind estimation and characterizing the precision of wind estimates over …
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Stochastic methods for uncertainty quantification in radiation transport
… of stochastic spectral expansions, specifically generalized polynomial chaos (gPC) and Karhunen-Loeve (KL) expansions, is investigated for uncertainty quantification in radiation transport. The gPC represents second-order random processes in terms of an expansion of orthogonal polynomials of …
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Application of the polynomial chaos expansion to multiphase CFD : a study of rising bubbles and slug flow
… simulation can be run). Chapter 2 introduces the generalized Polynomial Chaos (gPC) expansion, which has shown promise for reducing the computational cost of performing UQ for a large class of problems, including heat transfer and single phase, incompressible flow simulations; example applications …
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Parametric Optimal Design Of Uncertain Dynamical Systems
… unavailable. The computational framework uses Generalized Polynomial Chaos methodology to quantify the effects of various sources of uncertainty found in dynamical systems; a Least-Squares Collocation Method is used to solve the corresponding uncertain differential equations. This technique is …