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Now showing items 1-10 of 43

#### Interative approaches to convex feasibility problems.

(2001)

Solutions to convex feasibility problems are generally found by iteratively constructing
sequences that converge strongly or weakly to it. In this study, four types
of iteration schemes are considered in an attempt to ...

#### Complete symmetry groups : a connection between some ordinary differential equations and partial differential equations.

(2008)

The concept of complete symmetry groups has been known for some time in applications to ordinary differential equations. In this Thesis we apply this concept to partial differential equations. For any 1+1 linear evolution ...

#### Consequences of architecture and resource allocation for growth dynamics of bunchgrass clones.

(2005)

In order to understand how bunchgrasses achieve dominance over other plant growth forms
and how they achieve dominance over one another in different environments, it is first
necessary to develop a detailed understanding ...

#### Application of the wavelet transform for sparse matrix systems and PDEs.

(2009)

We consider the application of the wavelet transform for solving sparse matrix systems and partial differential equations. The first part is devoted to the theory and algorithms of wavelets. The second part is concerned ...

#### Spherically symmetric charged Einstein-Maxwell solutions.

(1999)

In this thesis we study spherically symmetric spacetimes with a perfect fluid source
which incorporates charge. We seek explicit solutions to the Einstein- Maxwell system
of equations. For nonaccelerating spherically ...

#### Noether's theorem and first integrals of ordinary differential equations.

(1997)

The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem ...

#### Algebraic properties of ordinary differential equations.

(1995)

In Chapter One the theoretical basis for infinitesimal transformations is
presented with particular emphasis on the central theme of this thesis which
is the invariance of ordinary differential equations, and their first ...

#### Coherent structures and symmetry properties in nonlinear models used in theoretical physics.

(1994)

This thesis is devoted to two aspects of nonlinear PDEs which are fundamental
for the understanding of the order and coherence observed in the underlying physical
systems. These are symmetry properties and soliton ...

#### Ermakov systems : a group theoretic approach.

(1993)

The physical world is, for the most part, modelled using second order ordinary differential equations. The time-dependent simple harmonic oscillator and the Ermakov-Pinney equation (which together form an Ermakov system) ...