Does symplectic geometry yield useful numerical tricks?
Degree GrantorUniversity of Canterbury
Degree NameResearch report
The symplectic structure implicit in systems of Hamilton's equations is of great theoretical, and increasingly numerical, significance. A development of this structure is presented, and ways of utilizing those structural properties in numerical algorithms are discussed. The resulting class of so-called "symplectic integrators" seem to produce good dynamical results. Ways of extending these results to systems of equations with other structural properties are considered.
SubjectsField of Research::01 - Mathematical Sciences
- Engineering: Reports