In the past 100 years since the birth of fisheries oceanography, research
on the early life history of fishes, particularly the larval stage, has been extensive, and
much progress has been made in identifying the mechanisms by which factors such
as feeding success, predation, or dispersal can influence larval survival....
Solid solutions based on the perovskite ferroelectrics Bi₀.₅Na₀.₅TiO₃ (BNT) and Bi₀.₅K₀.₅TiO₃ (BKT) might someday replace current Pb-based ferroelectric and piezoelectric devices. This is one goal of the Restrictions on Hazardous Substances (RoHS) guidelines seeking to limit Pb in consumer devices. Although the Bi-based ferroelectrics are well suited to the task...
In this thesis we consider computer techniques for inverting
n X n matrices and linear Fredholm integral operators of the
second kind. We develop techniques which allow us to prove the
existence of and find approximations to inverses for the above
types of operators. In addition, we are able to...
Interval arithmetic is applied to the problem of obtaining
rigorous solutions to integral equations on a computer. The
integral equations considered are the linear Fredholm equation of
the second kind and the nonlinear Urysohn equation. Techniques are
presented which enable the computer to find an approximate
solution, prove the existence...
The three important methods of approximation; interpolation,
least- squares, and Chebyshev, are extended into bivariate approximations.
A method of obtaining polynomial approximations for very
general classes of bivariate samples is developed. Bivariate least -
square approximations are reviewed and a method of developing bibariate
orthogonal sequence is derived. A method...
This paper continues exploration in the area of
programming for parallel computers. The appendix to the
paper contains an extensive survey of the literature related
to parallel computers and parallel programming techniques.
The paper itself presents a new approach to solving
the Laplace equation on a. parallel computer. A new...
The approximation of a continuous function, in the maximum
norm, by continuous splines in the Everett Interpolation Form is considered.
The topics of characterization, uniqueness, and calculation
of best approximations are investigated. Since uniqueness fails, a
new vector-valued norm, which yields uniqueness, is introduced.
In this thesis some methods for solving systems of
nonlinear equations are described, which do not require
calculation of the Jacobian matrix. One of these methods
is programmed to solve a parametrized system with possible
singularities. The efficiency of this method and a modified
Newton's method are compared using experimental...