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Theory of inner measures : an axiomatic approach
(1975, c197)
This thesis presents an axiomatic approach to the theory of inner
measures.
In Chapter I, we recognize that an axiomatic approach analogous
to that for the theory of outer measures is not appropriate: such
an approach ...
Finite element solutions to boundary value problems
(1977)
The finite element solution of certain two-point boundary value
problems is discussed.
In order to obtain more accuracy than the linear finite element
method can give, an order-h[superscript 4] global superconvergence ...
Abstract model for measure and category
(1975)
This thesis is an attempt to establish an abstract model
for Lebesgue measure and Baire category.
In the introduction, we list several similarities between
Lebesgue measurable sets and sets having the property of ...
Higher dimensional numerical quadrature
(1973)
This thesis contains a study of higher dimensional numerical
quadrature, especially two dimensional Gregory quadrature.
In Chapter I, we discuss the problem of approximation
and integration, the reasons why numerical ...
Differentiable and rough norms
(1970)
The principal question discussed in this dissertation is the
problem of characterizing the existence of admissible Frechet differentiable
norms on Banach spaces.
In the first chapter the basic concepts of normed linear ...
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 ...