Search for dissertations about: "polynomial chaos"
Showing result 1 - 5 of 7 swedish dissertations containing the words polynomial chaos.
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1. Uncertainty Quantification and Numerical Methods for Conservation Laws
Abstract : Conservation laws with uncertain initial and boundary conditions are approximated using a generalized polynomial chaos expansion approach where the solution is represented as a generalized Fourier series of stochastic basis functions, e.g. orthogonal polynomials or wavelets. READ MORE
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2. System identification of large-scale linear and nonlinear structural dynamicmodels
Abstract : System identification is a powerful technique to build a model from measurement data by using methods from different fields such as stochastic inference, optimization and linear algebra. It consists of three steps: collecting data, constructing a mathematical model and estimating its parameters. READ MORE
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3. Approximation of pluricomplex Green functions : A probabilistic approach
Abstract : This PhD thesis focuses on probabilistic methods of approximation of pluricomplex Green functions and is based on four papers.The thesis begins with a general introduction to the use of pluricomplex Green functions in multidimensional complex analysis and a review of their main properties. READ MORE
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4. Uncertainty quantification for wave propagation and flow problems with random data
Abstract : In this thesis we study partial differential equations with random inputs. The effects that different boundary conditions with random data and uncertain geometries have on the solution are analyzed. Further, comparisons and couplings between different uncertainty quantification methods are performed. READ MORE
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5. Application of Uncertainty Quantification Techniques to Studies of Wall-Bounded Turbulent Flows
Abstract : Wall-bounded turbulent flows occur in many engineering applications. The quantities of interest (QoIs) of these flows can be accurately obtained through experimental measurements and scale-resolving numerical approaches, such as large eddy simulation (LES). READ MORE