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Discrete Mechanics, Geometric Integration and Lie–Butcher Series [2018]
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Why Geometric Numerical Integration?
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Lie Group Integrators
- 71
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Lie–Butcher Series, Geometry, Algebra and Computation
- 115
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Averaging and Computing Normal Forms with Word Series Algorithms
- 139
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Combinatorial Hopf Algebras for Interconnected Nonlinear Input-Output Systems with a View Towards Discretization
- 185
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Computational Aspects of Some Exponential Identities
- 231
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Post-Lie Algebras, Factorization Theorems and Isospectral Flows
- 287
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Overview of (pro-)Lie Group Structures on Hopf Algebra Character Groups
- 315
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Bäcklund Transformations in Discrete Variational Principles for Lie-Poisson Equations
- 333
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Numerical Precession in Variational Discretizations of the Kepler Problem
- 349
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Full Affine Equivariance and Weak Natural Transformations in Numerical Analysis—The Case of B-Series