Geometric numerical integration : structure-preserving algorithms for ordinary differential equations

Table of Contents

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   Book Overview
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   Chapter 1 Examples and Numerical Experiments
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   Chapter 2 Numerical Integrators
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   Chapter 3 Order Conditions, Trees and B-Series
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   Chapter 4 Conservation of First Integrals and Methods on Manifolds
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   Chapter 5 Symmetric Integration and Reversibility
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   Chapter 6 Symplectic Integration of Hamiltonian Systems
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   Chapter 7 Non-Canonical Hamiltonian Systems
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   Chapter 8 Structure-Preserving Implementation
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    Chapter 9 Backward Error Analysis and Structure Preservation
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    Chapter 10 Hamiltonian Perturbation Theory and Symplectic Integrators
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    Chapter 11 Reversible Perturbation Theory and Symmetric Integrators
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    Chapter 12 Dissipatively Perturbed Hamiltonian and Reversible Systems
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    Chapter 13 Oscillatory Differential Equations with Constant High Frequencies
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    Chapter 14 Oscillatory Differential Equations with Varying High Frequencies
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    Chapter 15 Dynamics of Multistep Methods