Browsing Mathematics thesis and dissertation collection by Title
Now showing items 120 of 425

1. On the uniformisation of algebraic curves; 2. On the solution of linear differential equations by definite integrals
(The University of Edinburgh, 1931) 
Accelerated numerical schemes for deterministic and stochastic partial differential equations of parabolic type
(The University of Edinburgh, 20130701)First we consider implicit finite difference schemes on uniform grids in time and space for second order linear stochastic partial differential equations of parabolic type. Under sufficient regularity conditions, we prove ... 
Activeset prediction for interior point methods
(The University of Edinburgh, 20150701)This research studies how to efficiently predict optimal active constraints of an inequality constrained optimization problem, in the context of Interior Point Methods (IPMs). We propose a framework based on shifting/perturbing ... 
Adaptive algorithms for nonstationary time series
(The University of Edinburgh, 1992) 
Advances in interior point methods and column generation
(The University of Edinburgh, 20131128)In this thesis we study how to efficiently combine the column generation technique (CG) and interior point methods (IPMs) for solving the relaxation of a selection of integer programming problems. In order to obtain an ... 
Advances in Interior Point Methods for LargeScale Linear Programming
(2007)This research studies two computational techniques that improve the practical performance of existing implementations of interior point methods for linear programming. Both are based on the concept of symmetric neighbourhood ... 
Algebraic theory of Kreck surgery
(The University of Edinburgh, 2004) 
Algebras of compact operators
(The University of Edinburgh, 1967)The purpose of this thesis is to examine certain classes of hounded linear operators on a Banach space X in an algebraic light, i.e. as elements of a Banach algebra rather than as operators on X, the Banach algebra in ... 
Allied subsets of topological groups and linear spaces
(The University of Edinburgh, 1967)1, Basic theory, 4  2. Allied sets in linear spaces, 17  3. Cauchy nets and completeness, 29  4, Subgroups and subspaces. 39  5. Locally compact subsets of topological linear spaces. 46  6. ... 
Analytic capacity and the subadditivity problem
(The University of Edinburgh, 1974) 
Analytical properties of certain probability distributions
(The University of Edinburgh, 1938)This research has been carried out on Dr Aitken's suggestion. The first chapter is largely a recapitulation of known results which I have learnt from Dr Aitken, here arranged for convenience of reference later in the thesis. 
Application of Bridgeland stability to the geometry of abelian surfaces
(The University of Edinburgh, 20160629)A key property of projective varieties is the very ampleness of line bundles as this provides embeddings into projective space and allows us to express the variety in equational terms. In this thesis we study the general ... 
Applications of the blowup technique in singularly perturbed chemical kinetics
(The University of Edinburgh, 20190701)This thesis addresses the geometric analysis of traveling front propagation in singularly perturbed dynamical systems. The study of front propagation in reactiondiffusion systems has received a significant amount of ... 
Applying stochastic programming models in financial risk management
(The University of Edinburgh, 2010)This research studies two modelling techniques that help seek optimal strategies in financial risk management. Both are based on the stochastic programming methodology. The first technique is concerned with market risk ... 
Aspects of harmonic analysis over finite fields
(The University of Edinburgh, 2005) 
Aspects of the constructive omega rule within automated deduction
(The University of Edinburgh, 1993)In general, cut elimination holds for arithmetical systems with the w rule, but not for systems with ordinary induction. Hence in the latter, there is the problem of generalisation, since arbitrary formulae can be cut ... 
Automated theory formation in pure mathematics
(The University of Edinburgh, 2001)The automation of specific mathematical tasks such as theorem proving and algebraic manipulation have been much researched. However, there have only been a few isolated attempts to automate the whole theory formation ... 
Automatic closure in Banach algebras
(The University of Edinburgh, 1978) 
Axioms for concurrency
(The University of Edinburgh, 1989) 
Banach algebras with complemented ideals
(The University of Edinburgh, 1968)