This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibrating continuum, and begins to develop a system of equations governing their behavior, focusing on the air in...
The goal of this research project is to determine the fractal nature, if any, which
certain surface water waves exhibit when viewed on a microscopic scale. We make
use of the mathematical formulation of non-viscous fluids describing their physical
properties. Using these expressions and including boundary conditions for free
surfaces...
This is an interactive, self explanatory computer
program on real roots of polynomials with real
coefficients. This program called POLYROOT has the double
feature of tutoring and problem solving. It allows the user
to enter on one line any polynomial with real coefficients.
Then, the user can find :
1....
Two numerical methods are presented that can be used to solve
second order nonlinear ordinary differential equations with periodic
boundary conditions. One of these methods is a shooting method developed
solely for the periodic problem. The other, "quasilinearization,"
is a method applicable to a wide variety of problems. It is...
We investigate in this thesis, the problem of stability
of thermo-viscoelastic fluid flow between rotating
coaxial cylinders. By using the thermo-viscoelastic
constitutive equations given by Eringen, we reduce the
equations of motion into a form suitable for stability
analysis. The course of reduction which we follow yields
some interesting intermediate...
This thesis documents a new language which facilitates
the construction of Turing machines. The language translator
is written in Compass and has been debugged and is
available for use on the CDC 3300.
This paper defines four function space topologies,
characterizes two of them in terms of more familiar
concepts, and compares the four topologies. Then in the
cases of the two less familiar topologies we have considered
several common properties of topological spaces
and attempted to answer the following question: If the...