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Integration Algorithms and Classical Mechanics
About this Title
Jerrold E. Marsden, California Institute of Technology, Pasadena, CA, George William Patrick, University of Saskatchewan, Saskatoon, SK, Canada and William Francis Shadwick, Fields Institute, Waterloo, ON, Canada, Editors
Publication: Fields Institute Communications
Publication Year:
1996; Volume 10
ISBNs: 978-0-8218-0259-5 (print); 978-1-4704-2978-2 (online)
DOI: https://doi.org/10.1090/fic/010
MathSciNet review: MR1406798
MSC: Primary 65-06; Secondary 58-06, 70-06
ReadershipTable of Contents
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Front/Back Matter
Chapters
- F Armero and J Simo – Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum..
- Eric Barth and Benedict Leimkuhler – Symplectic methods for conservative multibody systems
- Paul Channell and F Neri – An introduction to symplectic integrators
- Alex Dragt and D Abell – Symplectic maps and computation of orbits in particle accelerators
- David Earn and A Lichtenberg – Arnold diffusion in symplectic lattice maps
- M Kaasalainen and J Binney – Integrable Hamiltonians from close approximations to invariant tori
- P Koseleff – Exhaustive search of symplectic integrators using computer algebra
- Debra Lewis and J Simo – Conserving algorithms for the $N$ dimensional rigid body
- Robert McLachlan – More on symplectic correctors
- Robert McLachlan and C Scovel – A survey of open problems in symplectic integration
- Sebastian Reich – Symplectic integrators for systems of rigid bodies
- J Sanz-Serna – Backward error analysis of symplectic integrators
- T Stuchi and R Vieira-Martins – Numerical determination of caustics and their bifurcations
- J Wisdom, M Holman and J Touma – Symplectic correctors