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Physical Sciences and Mathematics Commons™
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- Applied Mathematics (1)
- Beta-Dagum distribution (1)
- Direct method (1)
- Elastic curves (1)
- Galerkin Finite Element (1)
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- Homotopy model (1)
- Inequality measures (1)
- Information matrix (1)
- Interior-Point Method (1)
- Jordan Euclidean Algebra (1)
- Linear complementarity Problem (1)
- Mc-Dagum distribution (1)
- Minimize bending energy (1)
- Navier-Stokes (1)
- Negative gradient (1)
- Numerical integration (1)
- Pressure Poisson Equation (1)
- Symmetric Cones (1)
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Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Statistical Properties Of The Mc-Dagum And Related Distributions, Sasith Rajasooriya
Statistical Properties Of The Mc-Dagum And Related Distributions, Sasith Rajasooriya
Electronic Theses and Dissertations
In this thesis, we present a new class of distributions called Mc-Dagum distribution. This class of distributions contains several distributions such as beta-Dagum, beta-Burr III, beta-Fisk and Dagum distributions as special cases. The hazard function, reverse hazard function, moments and mean residual life function are obtained. Inequality measures, entropy and Fisher information are presented. Maximum likelihood estimates of the model parameters are given.
Variational Methods On Elastic Curves, Daniel D. Rocker
Variational Methods On Elastic Curves, Daniel D. Rocker
Electronic Theses and Dissertations
In this thesis we investigate elastic curves. These are curves with minimal bending energy as measured by the total squared curvature functional. We show that these can be computed by evolving curves in the direction of the negative gradient in certain Hilbert space settings. By discretizing the curves and using numerical integration, we compute approximate minimizers and display using computer graphics. We propose a conjecture based on the rotation number of a curve that predicts the critical point curves that minimize bending energy.
Approximate Similarity Reduction, Rui Zhang
Approximate Similarity Reduction, Rui Zhang
Electronic Theses and Dissertations
The nonlinear K (n;1) equation with damping is investigated via the approximate homotopy symmetry method and approximate homotopy direct method. The approximate homotopy symmetry and homotopy similarity reduction equations of different orders are derived and the corresponding homotopy series reduction solutionsare obtained. As a result, the formal coincidence for both methods is displayed.
Pressure Poisson Method For The Incompressible Navier-Stokes Equations Using Galerkin Finite Elements, John Cornthwaite
Pressure Poisson Method For The Incompressible Navier-Stokes Equations Using Galerkin Finite Elements, John Cornthwaite
Electronic Theses and Dissertations
In this thesis we examine the Navier-Stokes equations (NSE) with the continuity equation replaced by a pressure Poisson equation (PPE). Appropriate boundary conditions are developed for the PPE, which allow for a fully decoupled numerical scheme to recover the pressure. The variational form of the NSE with PPE is derived and used in the Galerkin Finite Element discretization. The Galerkin finite element method is then used to solve the NSE with PPE. Moderate accuracy is shown.
Full Newton Step Interior Point Method For Linear Complementarity Problem Over Symmetric Cones, Andrii Berdnikov
Full Newton Step Interior Point Method For Linear Complementarity Problem Over Symmetric Cones, Andrii Berdnikov
Electronic Theses and Dissertations
In this thesis, we present a new Feasible Interior-Point Method (IPM) for Linear Complementarity Problem (LPC) over Symmetric Cones. The advantage of this method lies in that it uses full Newton-steps, thus, avoiding the calculation of the step size at each iteration. By suitable choice of parameters we prove the global convergence of iterates which always stay in the the central path neighborhood. A global convergence of the method is proved and an upper bound for the number of iterations necessary to find ε-approximate solution of the problem is presented.