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An analysis of discretisation methods for ordinary differential equations

Abstract:

Numerical methods for solving initial value problems in ordinary differential equations are studied. A notation is introduced to represent cyclic methods in terms of two matrices, Ah, and Bh, and this is developed to cover the very extensive class of m-block methods. Some stability results are obtained and convergence is analysed by means of a new consistency concept, namely optimal consistency. It is shown that optimal consistency allows one to give two-sided bounds...

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Institution:
University of Oxford
Division:
MPLS
Role:
Author

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Role:
Supervisor
Role:
Supervisor
Publication date:
1980
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Subjects:
UUID:
uuid:b61bd199-57f9-40e5-80f1-c46aa5a49e58
Local pid:
td:602800725
Source identifiers:
602800725
Deposit date:
2014-07-22

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