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Open Access

Author:: Zhang, Ke
Title:: Thermodynamical Formalism For Maps With Inducing Schemes
Graduate Program:: Mathematics
Keywords:: dynamical systems
thermodynamic formalism
inducing scheme
File:: Download KeZhang-thesis.pdf
Committee Members:: Yakov B Pesin, Committee Chair/Co-Chair
Svetlana Katok, Committee Member
Omri Sarig, Committee Member
Piotr Berman, Committee Member

Open Access

Author:: Chen, Long
Title:: Robust and Accurate Algorithms for Solving Anisotropic Singularities
Graduate Program:: Mathematics
Keywords:: mesh adaptation
anisotropic error estimate
convection dominated problem
singularly perturbed problem
optimal Delaunay triangulation
nonlinear approximation
File:: Download MyThesis.pdf
Committee Members:: Jinchao Xu, Committee Chair/Co-Chair
Qiang Du, Committee Member
Chun Liu, Committee Member
James Z Wang, Committee Member
Ludmil Tomov Zikatanov, Committee Member

Open Access

Author:: Zhang, Lei
Title:: Phase field model for the nucleation in solid state phase transformations: Theories, Algorithms and Applications
Graduate Program:: Mathematics
Keywords:: Phase field
nucleation
critical nucleus
solid state
File:: Download Lei-Dissertation.pdf
Committee Members:: Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Long Qing Chen, Committee Member
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member

Open Access

Author:: Sostarecz, Michael Craig
Title:: EXPERIMENTS AND MODELING IN VISCOELASTIC FLUIDS: DIMPLED DROPS AND BEADED FILAMENTS
Graduate Program:: Mathematics
Keywords:: Stability Analysis
Evolution Equation
Free Boundary Problems
Asymptotic Expansion
Viscoelastic Fluids
Fluid Dynamics
Beads-on-String
Drops and Bubbles
Torus
File:: Download SostareczThesis.pdf
Committee Members:: Andrew Leonard Belmonte, Committee Chair/Co-Chair
Diane Marie Henderson, Committee Member
Ali Borhan, Committee Member
Qiang Du, Committee Member
Nigel David Higson, Committee Member

Open Access

Author:: Emelianenko, Maria
Title:: Multilevel and Adaptive Methods for Some Nonlinear Optimization Problems
Graduate Program:: Mathematics
Keywords:: optimization
multigrid methods
computational geometry
numerical analysis
computational methods in materials science
File:: Download emelianenko-Dissertation.pdf
Committee Members:: Qiang Du, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Dr Zi Kui Liu, Committee Member
Dr Hongyuan Zha, Committee Member
Wen Shen, Committee Member
Nigel David Higson, Committee Member

Open Access

Author:: Rowell, Michael Jason
Title:: THE BAILEY TRANSFORM AND CONJUGATE BAILEY PAIRS
Graduate Program:: Mathematics
Keywords:: Bailey Transform
Hypergeometric q-series
Partitions
File:: Download RowellThesis052907.pdf
Committee Members:: George E Andrews, Committee Chair/Co-Chair
Ae Ja Yee, Committee Chair/Co-Chair
James Allen Sellers, Committee Member
Donald Richards, Committee Member

Open Access

Author:: Higley, Michael
Title:: Stochastic and Deterministic Processes in Fragmentation and Sedimentation
Graduate Program:: Mathematics
Keywords:: Galton board
fragment size
settling speed
File:: Download higley_final_draft.pdf
Committee Members:: Andrew Leonard Belmonte, Dissertation Advisor/Co-Advisor
Andrew Leonard Belmonte, Committee Chair/Co-Chair
Qiang Du, Committee Member
Diane Marie Henderson, Committee Member
Francesco Costanzo, Committee Member

Open Access

Author:: Grutzmann, Melchior
Title:: Courant algebroids: Cohomology and matched pairs
Graduate Program:: Mathematics
Keywords:: Courant
algebroid
cohomology
matched pairs
File:: Download thesis.pdf
Committee Members:: Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Mathieu Philippe Stienon, Committee Chair/Co-Chair
Aissa Wade, Committee Member
Adrian Ocneanu, Committee Member
Luen Chau Li, Committee Member
Martin Bojowald, Committee Member

Open Access

Author:: Li, Manlin
Title:: ANALYSIS OF DETERMINISTIC AND STOCHASTIC IMPLICIT INTERFACE MODELS OF FLUID-INTERFACE INTERACTIONS
Graduate Program:: Mathematics
Keywords:: SIIM
phase field
implict interface
File:: Download Thesis-ManlinLi.pdf
Committee Members:: Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
John Fricks, Committee Member

Open Access

Author:: Kang, MingHsuan
Title:: ZETA FUNCTIONS AND APPLICATIONS OF GROUP BASED COMPLEXES
Graduate Program:: Mathematics
Keywords:: zeta functions
building
PGL_3
toroidal
fullerenes
File:: Download thesis.pdf
Committee Members:: Wen Ching Winnie Li, Dissertation Advisor/Co-Advisor
Wen Ching Winnie Li, Committee Chair/Co-Chair
Dale Brownawell, Committee Member
William C Waterhouse, Committee Member
Murat Gunaydin, Committee Member

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