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.
Surveyor Deep-Sea Channel extends for approximately 700 km
over the northern Alaskan Abyssal Plain. It originates near the base
of the continental slope opposite Dry Bay and Alsek Strath and terminates
in the Aleutian Trench south of Kodiak Island. East of Giacomini
Seamount, the axial gradient of the channel is...
Laminated root rot of Douglas-fir (Pseudotsuga menziesii (Mirb.)
Franco) caused by the fungus Phellinus weirii (Murr.)Gilbertson was
studied in two successive stands in the Oregon Coast Range. Damage
due to the disease in a 60-year-old second-growth stand was compared
with incidence in the preceding 300-year-old stand on the same site....
There is evidence that recent ecological changes in lakes and their watersheds can be detected from analysis of lake sediments. This study was initiated to correlate
changes in some sediment characteristics of four Oregon lakes with past cultural developments of the lakes and their watersheds. The lakes chosen for this...
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...
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...
A function translator is presented which was designed for
interactive programs which allow functions to be defined on-line. The
translator handles functions which are specified by a formula and
functions which are specified as the solution to a system of differential
equations.
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...