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Experimental data on the structural phase changes in zirconia are summarized. The computational techniques of molecular dynamics are reviewed and equations of motion are formulated which allow the study of phase changes as a function of temperature and pressure. The molecular dynamics program NPT which was written for this purpose is described. This program performs numerical integration of the classical equations of motions in atomistic simulations which allow a varying cell size and shape. The simulations produce time averages which are related to thermodynamic ensemble averages. Routines used to calculated the interatomic forces are implemented for potentials which vary as the inverse power of the separation distance between atoms. Calculation of Coulomb forces is done with the Ewald method and with a multipole method. The two methods are shown to be analytically equivalent and the precision and speed of the two routines are compared. Results generated by the program NPT are presented for energy minimization of crystal structures and for dynamic simulations. A number of different minimum-energy structures for soft-sphere potentials are found. Simulations are performed for several soft-sphere structures and dynamic properties are established. Structural phases changes are observed in two cases. A potential derived from ab initio calculations for monoclinic zirconia is tested. / Graduation date: 1994

A systematic optimization of the Cohen class time-frequency transformation for detecting the parameters change is developed. The local moments approach to change detection is proposed and a general formula for the local moments is derived. The optimal kernel functions of the time-frequency transformation are determined based on the combined criteria of maximum sensitivity with respect to parameters change and minimum distortion of physical interpretation of the local moments. The sensitivity of the local moment with respect to a certain kind of inputs is analyzed and a most "convenient" and a "worst" input are identified. The results are presented in the form of the case studies for detecting parameters change in simple linear systems. / Graduation date: 1992

An accurate, intuitive and tractable transform as been identified and developed from which the spatial harmonics of reticle patterns defined in polar coordinates can be obtained. A description of reticles and generic methods for describing them mathematically are presented along with some background on general harmonic analysis. Focus then turns to candidate transforms for analysis of reticle patterns and the most promising are investigated in more detail. A fast linear algorithm is devised to overcome some problems with implementation of a fast transform and this is followed by analysis of the transform basis functions to assist with interpretation of the transform in azimuth and radius. A sampling guideline is presented so that aliasing can be avoided and, finally, the transforms of some representative reticle patterns are shown along with some insight into their interpretation. / Thesis (MSc(AppliedPhysics))--University of South Australia, 2005.

Thesis (PhD)--University of South Australia, 2001

An accurate, intuitive and tractable transform as been identified and developed from which the spatial harmonics of reticle patterns defined in polar coordinates can be obtained. A description of reticles and generic methods for describing them mathematically are presented along with some background on general harmonic analysis. Focus then turns to candidate transforms for analysis of reticle patterns and the most promising are investigated in more detail. A fast linear algorithm is devised to overcome some problems with implementation of a fast transform and this is followed by analysis of the transform basis functions to assist with interpretation of the transform in azimuth and radius. A sampling guideline is presented so that aliasing can be avoided and, finally, the transforms of some representative reticle patterns are shown along with some insight into their interpretation. The transformations presented provide a first step toward raising the resolution and harmonic content required in simulation image scenes that will ultimately result in optimal use of computing resources for the simulation of reticle seekers. / thesis (MSc(AppliedPhysics))--University of South Australia, 2005.

Thesis (M. Sc.)--University of Adelaide, Dept of Pure Mathematics,1984. / Includes bibliographical references (leaves 69-72).

Thesis (M.S.)--University of Texas at El Paso, 2007. / Title from title screen. Vita. CD-ROM. Includes bibliographical references. Also available online.

Thesis (Ph.D.)--Tufts University, 1999. / Adviser: Alexander Vilenkin. Submitted to the Dept. of Physics. Includes bibliographical references (leaves 119-122). Access restricted to members of the Tufts University community. Also available via the World Wide Web;

Thesis (Ph.D.)--Tufts University, 2003. / Adviser: Joseph P. Noonan. Submitted to the Dept. of Electrical Engineering. Includes bibliographical references (leaves 149-149). Access restricted to members of the Tufts University community. Also available via the World Wide Web;