Volume preserving numerical integrators for ordinary differential equations
Doctoral thesis, Peer reviewed
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Has partsPaper A: BIT Numer Math (2013) 53:265–281. Xue, Huiyan & Antonella Zanna, Explicit volume-preserving splitting methods for polynomial divergence-free vector fields. Full-text not available in BORA. The published version is available at: http://dx.doi.org/10.1007/s10543-012-0394-0
Paper B: Xue, Huiyan. High order volume preserving integrators for three kinds of divergencefree vector fields via commutators. The article is available at: http://hdl.handle.net/1956/7561
Paper C: Discrete and Continuous Dynamical Systems - Series A (DCDS-A) 34(3). Xue,Huiyan and Antonella Zanna. Generating function and volume preserving mappings, pp. 1229–1249. The article is available at: http://hdl.handle.net/1956/7562
Paper D: Xue, Huiyan, Verdier, Olivier and Antonella Zanna, A study on volume preserving generating forms in R3. Full-text not available in BORA.