Browsing Mathematics thesis and dissertation collection by Title
Now showing items 120 of 336

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 ... 
Analytic capacity and the subadditivity problem
(The University of Edinburgh, 1974) 
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 ... 
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) 
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) 
Banach function spaces and spectral measures
(The University of Edinburgh, 1982) 
Bayesian methods for Poisson models
(The University of Edinburgh, 2000) 
Bayesian methods in the selection of farm animals for breeding
(The University of Edinburgh, 1995) 
Bergman kernel on toric Kahler manifolds
(The University of Edinburgh, 20110628)Let (L,h) → (X,ω) be a compact toric polarized Kahler manifold of complex dimension n. For each k ε N, the fibrewise Hermitian metric hk on Lk induces a natural inner product on the vector space C∞(X,Lk) of smooth global ... 
Block designs and graph theory
(The University of Edinburgh, 1981) 
Boundary value problems for elliptic operators with singular drift terms
(The University of Edinburgh, 20121128)Let Ω be a Lipschitz domain in Rᴺ,n ≥ 3, and L = divA∇  B∇ be a second order elliptic operator in divergence form with real coefficients such that A is a bounded elliptic matrix and the vector field B ɛ L∞loc(Ω) is ...