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High Order H(div) Discontinuous Galerkin Methods for MHD Equations
Title
High Order H(div) Discontinuous Galerkin Methods for MHD Equations
Author
Wu, Jian
Date Created
2016
Subjects--Topical
Mathematics
Description
In this dissertation, we investigate the divergence-free discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...
High-order integral equations for electromagnetic problems in layered media with applications in biology and solar cells
Title
High-order integral equations for electromagnetic problems in layered media with applications in biology and solar cells
Author
Zinser, Brian
Date Created
2016
Subjects--Topical
Mathematics, Cytology, Electromagnetism
Description
We present two distinct mathematical models where high-order integral equations are applied to electromagnetic problems. The first problem is to find the electric potential in and around ion channels and Janus particles. The second problem is to f...
Intermittency for Branching random walks with heavy tails.
Title
Intermittency for Branching random walks with heavy tails.
Author
Getan, Asmaa
Date Created
2016
Subjects--Topical
Mathematics
Description
iic 2016Asmaa GetanALL RIGHTS RESERVEDiiiABSTRACT Branching Markov process models populations in which each individual in gener-ation n produces some random number of individuals in the next generation, n + 1, according to a certain probability di...
Isogeometric collocation method for elasticity problems containing singularities
Title
Isogeometric collocation method for elasticity problems containing singularities
Author
Rattan, Puja
Date Created
2016
Subjects--Topical
Mathematics
Description
Isogeometric analysis (IGA), introduced by Hughes, et al. [2,3], is a mathematical approach that combines Finite Element analysis (FEA) in conjunction with engineering design tools, such as CAD, which allows analysis, testing and redesign of struc...
LIMIT THEOREMS FOR RANDOM EXPONENTIAL SUMS AND THEIR APPLICATIONS TO INSURANCE AND THE RANDOM ENERGY MODEL
Title
LIMIT THEOREMS FOR RANDOM EXPONENTIAL SUMS AND THEIR APPLICATIONS TO INSURANCE AND THE RANDOM ENERGY MODEL
Author
Erturk, Huseyin
Date Created
2016
Subjects--Topical
Mathematics, Statistics
Description
In this dissertation, we are mainly concerned with the sum of random exponentials. Here, the random variables are independent and identically distributed. Another distinctive assumption is the number of variables in this sum is a function of the c...
Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Title
Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Author
Zhou, Yijing
Date Created
2016
Subjects--Topical
Mathematics
Description
In this dissertation, we propose numerical methods for computing the boundary local time of reflecting Brownian motion (RBM) in 3d and its use in the probabilistic representation of the solution of the Laplace equation with the Neumann and Robin b...