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Thesis

Numerical solution of nonlinear boundary value problems for ordinary differential equations in the continuous framework

Abstract:

Ordinary differential equations (ODEs) play an important role in mathematics. Although intrinsically, the setting for describing ODEs is the continuous framework, where differential operators are considered as maps from one function space to another, common numerical algorithms for ODEs discretise problems early on in the solution process. This thesis is about continuous analogues of such discrete algorithms for the numerical solution of ODEs.

This thesis shows how Newton's method f...

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Institution:
University of Oxford
Research group:
Numerical Analysis
Oxford college:
Lincoln College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

Contributors

Role:
Supervisor
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:1df19052-5eb3-4398-a7b2-b103e380ec2c
Local pid:
ora:11397

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