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Now showing items 11-19 of 19
Model Order Reduction
(2014-11-24)
Model Order Reduction (MOR) is a wide area, and it has many techniques. In this thesis, we focus on Krylov subspaces method and Proper Orthogonal Decomposition (POD).We show some details about these two methods. A MATLAB ...
Nonlocal Dispersal Equations and Convergence to Random Dispersal Equations
(2014-05-15)
This dissertation is devoted to the study of the dynamics of nonlocal and random dispersal evolution equations.
Dispersal evolution equations are widely used to model the diffusions of organisms or individuals in many ...
On the derivation algebras of parabolic Lie algebras with applications to zero product determined algebras
(2014-07-11)
This dissertation builds upon and extends previous work completed by the author and his advisor in [5].
A Lie algebra g is said to be zero product determined if for each bilinear map φ: g × g → V that satisfies φ(x, y) = ...
The Stone-Čech Compactification and the Number of Pairwise Nonhomeomorphic Subcontinua of β[0,∞)\[0,∞)
(2014-05-02)
An introduction to the Stone-Čech compactification $\beta X$ of a normal topological space $X$ is given. The method of invariantly embedding linear orders into ultrapowers is used to find $2^{\mathfrak{c}}$ pairwise ...
3-Cycle Systems and Structure within Graph Decompositions
(2014-07-24)
An $H$-decomposition of a graph $G$ is a partition of the edge set $E(G)$ such that each element of the partition induces a subgraph isomorphic to $H$. A packing or cover of $\lambda K_n$ (with triples) is an ordered pair ...
Principal Eigenvalue Theory for Time Periodic Nonlocal Dispersal Operators and Applications
(2014-07-02)
The dissertation is concerned with the
spectral theory, in particular, the principal eigenvalue theory for
nonlocal dispersal operators with time periodic dependence, and its
applications. Nonlocal and random dispersal ...
High-Dimensional Classification Methods for Sparse Signals and Their Applications in Text and Data Mining
(2014-07-22)
Classification using high-dimensional features arises frequently in many contemporary
statistical studies such as tumor classification using microarray or other high-throughput
data. In this dissertation we conduct a ...
Some Geometry of Symmetrized Tensor Spaces
(2014-05-01)
In this paper we investigate the geometry of symmetrized tensor spaces using a construct known as a coset space. We find that, for a group G, certain pairings of subgroups and irreducible characters give rise to ...
Monotonic Covering Properties
(2014-07-29)
Monotonic versions of classical topological properties have been of some interest for several years. That adding monotonic to a covering property makes it stronger is well-known, but exactly how much stronger is still, ...