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Thesis

A composite scheme for solving a differential equation driven by a system of time-varying vector fields

Abstract:

Many problems in physics and chemistry are based around the interactions of large numbers of particles. Motivated by this, we consider numerical methods aimed towards the accurate modelling of a 'particle' under the influence of a large cloud of other particles. The trajectory of this 'particle' can be modelled by the solution to an ordinary differential equation driven by a high-dimensional system where the vector field defining the ordinary differential equation is given by the sum of a...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Stochastic Analysis Group
Oxford college:
Somerville College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2010
Type of award:
MSc by Research
Level of award:
Masters
Awarding institution:
Oxford University, UK

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