Thesis
Geometric numerical integration via auxiliary variables
- Abstract:
-
Geometric numerical integrators are known to exhibit greater accuracy and physical reliability than classical timestepping schemes, in particular over long durations. However, there have long remained difficulties in devising such discretisations that preserve non-quadratic conservation and dissipation laws.
Expand abstract
In this thesis we propose a unified framework for the construction of timestepping schemes of arbitrary order for systems of both ordinary (ODE) and partial (PDE) differential equ...
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Authors
Contributors
+ Farrell, P
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Role:
- Supervisor
- ORCID:
- 0000-0002-1241-7060
+ Arter, W
- Role:
- Supervisor
+ United Kingdom Atomic Energy Authority
More from this funder
- Funder identifier:
- https://ror.org/0361bwx64
- Grant:
- CASE award
+ Engineering and Physical Sciences Research Council
More from this funder
- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/W006839/1
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
-
English
- Keywords:
- Subjects:
- Deposit date:
-
2025-11-10
Terms of use
- Copyright holder:
- Boris D. Andrews
- Copyright date:
- 2025
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