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A MESHLESS METHOD WITH ENRICHED BASIS FUNCTIONS FOR SINGULARITY PROBLEMS
Title
A MESHLESS METHOD WITH ENRICHED BASIS FUNCTIONS FOR SINGULARITY PROBLEMS
Author
Hong, Won-Tak
Date Created
2009
Subjects--Topical
Mechanical engineering, Mechanics, Mathematics
Description
For the last several decades, the Finite Element Method (FEM) has been a powerful tool in solving challenging science and engineering problems, especially when solution domains have complex geometry. However the mesh refinements and construction o...
BORON CARBIDE NANOWIRES: SYNTHESIS AND CHARACTERIZATION
Title
BORON CARBIDE NANOWIRES: SYNTHESIS AND CHARACTERIZATION
Author
Guan, Zhe
Date Created
2013
Subjects--Topical
Materials science
Description
Bulk boron carbide has been widely used in ballistic armored vest and the property characterization has been heavily focused on mechanical properties. Even though boron carbides have also been projected as a promising class of high temperature the...
Binary Edwards Curves in Elliptic Curve Cryptography
Title
Binary Edwards Curves in Elliptic Curve Cryptography
Author
Enos, Graham
Date Created
2013
Subjects--Topical
Mathematics
Description
Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is complete ...
Consistency results in the theory of continuous functions and selective separability
Title
Consistency results in the theory of continuous functions and selective separability
Author
Barman, Doyel
Date Created
2011
Subjects--Topical
Mathematics
Description
We study of the notion of selective separability(SS), which was introduced by Marion Scheepers, and its connection with the game-theoretic strengthening, strategically selective separable spaces (SS+). It is known that every set of countable &pi-w...
DEVELOPMENT OF EXPERIMENTAL FACILITIES FOR INVESTIGATIONS OF VORTEX MACHINING
Title
DEVELOPMENT OF EXPERIMENTAL FACILITIES FOR INVESTIGATIONS OF VORTEX MACHINING
Author
Howard, Stephen
Date Created
2014
Subjects--Topical
Mechanical engineering
Description
This dissertation presents work done in investigation of a novel polishing process called Vortex Machining. Vortex Machining uses an oscillating probe to induce vortices in a polishing slurry above a workpiece, thereby removing material in regions...
Meshless boundary particle methods for boundary integral equations and meshfree particle methods for plates
Title
Meshless boundary particle methods for boundary integral equations and meshfree particle methods for plates
Author
Davis, Christopher
Date Created
2011
Subjects--Topical
Mechanical engineering, Mathematics
Description
For approximating the solution of partial differential equations (PDE), meshless methods have been introduced to alleviate the difficulties arising in mesh generation using the conventional Finite Element Method (FEM). Many meshless methods introd...
On the Structure and Invariants of Cubical Complexes
Title
On the Structure and Invariants of Cubical Complexes
Author
Birdsong, Sarah
Date Created
2013
Subjects--Topical
Mathematics
Description
This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entr...
The center and cyclicity problems in a family of three dimensional polynomial systems of ordinary differential equations.
Title
The center and cyclicity problems in a family of three dimensional polynomial systems of ordinary differential equations.
Author
Hounkanli, Kokouvi
Date Created
2013
Subjects--Topical
Mathematics
Description
This dissertation is mainly a study of the center problem in the context of a family of three dimensional systems of ordinary differential equations of the form· {u} = &minus v + P(u,v,w), · {v} = u+Q(u,v,w), · {w}=&minus &lambda...