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Numerical integration of systems of differential equations arising in celestial mechanics / by Roy D. North. --
(1974)
This thesis deals primarily with solving systems of
autonomous ordinary nonlinear differential equations arising in
Celestial Mechanics initial value problems using various finite-difference
techniques. Those methods ...
Higher order discretization of elliptic partial differential equations
(1979)
Higher order finite difference methods are discussed with respect
to speed and accuracy when used in the solution of elliptic partial
differential equations.
Although fast direct methods for solving elliptic ...
Triangular finite element solution to boundary value problems
(1977)
This Thesis discusses the triangular finite element solution
to second order elliptic boundary value problems. The
Barycentric Coordinate system, which some engineers call the areal
coordinate system, is used throughout ...
Arguesian lattices of order 3
(1981)
Since the mid 19th century it has been known that every
Desarguean projective’ plane is coordinatizable over a division
ring. This coordinatization procedure was used by von Neumann
[9] to show that every complemented ...
Transforming ordinary linear differential equations to constant coefficient differential equations
(1978)
The main purpose of this thesis is to give a characterization
of nth order linear homogeneous differential equations that can be
transformed into constant coefficient differential equations. The
characterization given ...
Abstract convexity in metric spaces
(1985)
Convexity in metric space is the main topic of discussion in this thesis.
To undertake the study we have studied extensively the means introduced by Doss and included the results concerning means derived by Gahier ...
Non-standard analysis / by Geraldine S. Service
This thesis is a study of several theories of Non-standard Analysis.
Particular attention is paid to the theories presented by A. Robinson
and E. Zakon.
Chapter I contains background information from Mathematical ...
Interpolation and quasi-interpolation using triangular splines
(1973)
This thesis is a study of the applications of Regular Triangular
Splines to the bivariate approximation problem. Our primary interest
will concern the numerical approximation of functions in two variables,
and implementation ...
Abstract convexity spaces
(1978)
The principal question discussed in this dissertation
is the problem of characterizing the linear and convex
functions on generalized line spaces. A linear function
is shown to be a convex function. The linear and ...
Computation using s-programs
(1987)
The concepts of S and Sn programs are given by Davis,
Weyuker, 1983. Several parts of the complexity theory are
carried out directly for S and Sn programs. The concepts of
non-deterministic and deterministic computation ...