Browsing Mathematics, School of by Title
Now showing items 120 of 380

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 AND COMBINATORIAL CODIMENSION 1 TRANSVERSALITY
(Submitted to the Proceedings of the Cassonfest (Austin, Texas, May 2003), 20030812)The Waldhausen construction of MayerVietoris splittings for chain complexes over an injective generalized free product is extended to Seifertvan Kampen splittings for CW complexes with fundamental group an injective ... 
THE ALGEBRAIC CONSTRUCTION OF THE NOVIKOV COMPLEX OF A CIRCLEVALUED MORSE FUNCTION
(SpringerVerlag, 20010629)The Novikov complex of a circlevalued Morse function f : M ! S is constructed algebraically from the MorseSmale complex of the restriction of the realvalued Morse function f : M ! R to a fundamental domain of the ... 
ALGEBRAIC POINCARE COBORDISM
(http://arxiv.org/abs/math.AT/0008228,, 2001)The object of this paper is to give a reasonably leisurely account of the algebraic Poincare cobordism theory of Ranicki and the further development due to Weiss , along with some of the applications to manifolds and ... 
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) 
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 ... 
Automatic closure in Banach algebras
(The University of Edinburgh, 1978) 
Averages in vector spaces over finite fields
(20080101)We study the analogues of the problems of averages and maximal averages over a surface in Rn when the euclidean structure is replaced by that of a vector space over a finite field, and obtain optimal results in a number ... 
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)