In September 2000, the Convention for the Conservation and Management of the Highly Migratory Fish Stocks in the Central and Western Pacific (WCPFC) was concluded by the seventh session of the Multilateral High Level Conference (MHLC). The WCPFC, amongst other things, establishes a tuna Commission, which will have powers to...
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.
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...
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...
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...
This study deals specifically with classical cubic splines. Based on
a lemma of John Rice, best approximation in the uniform norm by
cubic splines is explored. The purpose of this study is to
characterize the best approximation to a given continuous function
f(x) by a cubic spline with fixed knots...
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...