# Thesis

## Deterministic simulation of multi-beaded models of dilute polymer solutions

Abstract:

We study the convergence of a nonlinear approximation method introduced in the engineering literature for the numerical solution of a high-dimensional Fokker--Planck equation featuring in Navier--Stokes--Fokker--Planck systems that arise in kinetic models of dilute polymers. To do so, we build on the analysis carried out recently by Le~Bris, Leli\`evre and Maday (Const. Approx. 30: 621--651, 2009) in the case of Poisson's equation on a rectangular domain in $\mathbb{R}^2$, subject to a homoge...

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### Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Numerical Analysis Group
Oxford college:
Worcester College
Role:
Author
More by this author
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

#### Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:4c3414ba-415a-4109-8e98-6c4fa24f9cdc
Local pid:
ora:6023
Deposit date:
2012-01-20

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