Essays about: "polynomial chaos"

Found 4 essays containing the words polynomial chaos.

  1. 1. Uncertainty quantification for offshore wind turbines

    University essay from KTH/Matematik (Avd.)

    Author : Ziming Wang; [2022]
    Keywords : wind energy; uncertainty propagation; polynomial chaos; Rosenblatt transformation; quadrature; regression; vindenergi; osäkerhetsutbredning; polynomkaos; Rosenblatt transformation; kvadratur; regression;

    Abstract : Wind energy is a field with a large number of uncertainties. The random nature of the weather conditions, including wind speed, wind direction, and turbulence intensity, influences the energy output and the structural safety of a wind farm, making its performance fluctuate and difficult to predict. READ MORE

  3. 2. Application of Polynomial Chaos Expansion for Climate Economy Assessment

    University essay from KTH/Optimeringslära och systemteori

    Author : Robin Nydestedt; [2018]
    Keywords : ;

    Abstract : In climate economics integrated assessment models (IAMs) are used to predict economic impacts resulting from climate change. These IAMs attempt to model complex interactions between human and geophysical systems to provide quantifications of economic impact, typically using the Social Cost of Carbon (SCC) which represents the economic cost of a one ton increase in carbon dioxide. READ MORE

  4. 3. Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos

    University essay from Luleå tekniska universitet/Institutionen för system- och rymdteknik

    Author : Lisa Whittle; [2017]
    Keywords : ;

    Abstract : This thesis presents a framework that has been developed in order to compute stochastic optimal trajectories. This is achieved by transforming the initial set of stochastic ordinary differential equations into their deterministic equivalent by application of Multivariate Polynomial Chaos. READ MORE

  5. 4. Numerical Analysis of Burgers' Equation with Uncertain Boundary Conditions using the Stochastic Galerkin Method

    University essay from Institutionen för informationsteknologi

    Author : Per Pettersson; [2008]
    Keywords : ;

    Abstract : Burgers' equation with stochastic initial and boundary conditions is investigated by a polynomial chaos expansion approach where the solution is represented as a series of stochastic, orthogonal polynomials. The analysis of wellposedness for the stochastic Burgers' equation follows the pattern of that of the deterministic Burgers' equation. READ MORE