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Quarterly Journal of the Royal Meteorological Society, ISSN 0035-9009, 04/2019, Volume 145, Issue 720, pp. 1070 - 1088
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 08/2009, Volume 79, Issue 9, pp. 1147 - 1174
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 06/2010, Volume 82, Issue 13, pp. 1609 - 1644
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 2/2014, Volume 24, Issue 1, pp. 1 - 37
.... We then use the isomorphism of the 3-sphere with the Lie group SU(2) to derive a variational Lie group integrator for point vortices which is symplectic, second-order, and preserves the unit-length constraint... 
Symplectic integration | Point vortices | Variational methods | 37M15 | Theoretical, Mathematical and Computational Physics | 76B47 | Mathematics | 70H03 | Hopf fibration | Analysis | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Economic Theory | MATHEMATICS, APPLIED | MECHANICS | VORTICES | MOTION | VARIATIONAL INTEGRATORS | BACKWARD ERROR ANALYSIS | PHYSICS, MATHEMATICAL | RELATIVE EQUILIBRIA
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2007, Volume 30, Issue 1, pp. 134 - 147
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 10/2017, Volume 27, Issue 5, pp. 1399 - 1434
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2014, Volume 257, pp. 1423 - 1443
Journal Article
Journal Article
Frontiers of Mathematics in China, ISSN 1673-3452, 4/2012, Volume 7, Issue 2, pp. 273 - 303
The numerical analysis of variational integrators relies on variational error analysis, which relates the order of accuracy of a variational integrator with the order of approximation of the exact... 
variational integrator | 65P10 | geometric mechanics | Mathematics, general | Mathematics | Lagrangian mechanics | symplectic integrator | 37J10 | Geometric numerical integration | 70H25 | MATHEMATICS | FULL BODY PROBLEM | NUMERICAL INTEGRATORS | EQUATIONS | BACKWARD ERROR ANALYSIS | Studies | Mathematical analysis | Lagrange multiplier | Accuracy | Construction | Approximation | Hamilton-Jacobi equation | Function space | Integrators | Mathematical models | Quadratures
Journal Article
International journal for numerical methods in engineering, ISSN 0029-5981, 2012, Volume 90, Issue 3, pp. 390 - 402
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 08/2003, Volume 2, Issue 3, pp. 381 - 416
.... This leads to variational integrators which are symplectic-momentum preserving and are consistent with the jump conditions given in the continuous theory... 
Collisions | Discrete mechanics | Variational integrators | MATHEMATICS, APPLIED | ENERGY | discrete mechanics | collisions | APPROXIMATION | ALGORITHM | TIME | MODEL | FORMULATION | PHYSICS, MATHEMATICAL | variational integrators | DRY FRICTION | RIGID-BODY DYNAMICS | CONTACT PROBLEMS | CONSTRAINTS
Journal Article
Celestial Mechanics and Dynamical Astronomy, ISSN 0923-2958, 6/2007, Volume 98, Issue 2, pp. 121 - 144
.... The discrete equations of motion, referred to as a Lie group variational integrator, provide a geometrically exact and numerically efficient computational method for simulating full body dynamics in orbital mechanics... 
Lie group method | Full rigid body problem | Mathematics, general | Variational integrator | Symplectic integrator | Physics | Astronomy | variational integrator | full rigid body problem | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ASTRONOMY & ASTROPHYSICS | DYNAMICS | symplectic integrator | Studies | Algorithms
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 4/2009, Volume 19, Issue 2, pp. 153 - 177
Journal Article