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 ...

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 ...

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 ...

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 ...

Axiomatic convexity space, introduced by Kay and Womble [22] , will be the main topic discussed in this thesis. An axiomatic convexity space (X,C), which is domain finite and has regular straight segments, is called a ...