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APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
Title
APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
Author
Semiyari, Hamid
Date Created
2015
Subjects--Topical
Mathematics
Description
We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...
Generalized semiparametric varying-coefficient models for longitudinal data
Title
Generalized semiparametric varying-coefficient models for longitudinal data
Author
Qi, Li
Date Created
2015
Subjects--Topical
Mathematics, Statistics, Biometry
Description
In this dissertation, we investigate the generalized semiparametric varying-coefficient models for longitudinal data that can flexibly model three types of covariate effects: time-constant effects, time-varying effects, and covariate-varying effec...
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Title
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author
Fairchild, Michael
Date Created
2015
Subjects--Topical
Mechanical engineering, Robotics, Mathematics
Description
This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...