Forcing an ODE solver to preserve the norm
Posted by Krastanov, at scicomp.stackexchange.com,
I have an ODE of the form $$ \frac{dy}{dt} = -i H y \enspace .$$ where $y$ is a complex vector and $H$ is a time dependent…
Geometric numerical integration : structure-preserving algorithms for ordinary differential equations
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Table of Contents
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Altmetric BadgeBook Overview
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Altmetric BadgeChapter 1 Examples and Numerical Experiments
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Altmetric BadgeChapter 2 Numerical Integrators
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Altmetric BadgeChapter 3 Order Conditions, Trees and B-Series
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Altmetric BadgeChapter 4 Conservation of First Integrals and Methods on Manifolds
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Altmetric BadgeChapter 5 Symmetric Integration and Reversibility
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Altmetric BadgeChapter 6 Symplectic Integration of Hamiltonian Systems
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Altmetric BadgeChapter 7 Non-Canonical Hamiltonian Systems
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Altmetric BadgeChapter 8 Structure-Preserving Implementation
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Altmetric BadgeChapter 9 Backward Error Analysis and Structure Preservation
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Altmetric BadgeChapter 10 Hamiltonian Perturbation Theory and Symplectic Integrators
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Altmetric BadgeChapter 11 Reversible Perturbation Theory and Symmetric Integrators
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Altmetric BadgeChapter 12 Dissipatively Perturbed Hamiltonian and Reversible Systems
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Altmetric BadgeChapter 13 Oscillatory Differential Equations with Constant High Frequencies
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Altmetric BadgeChapter 14 Oscillatory Differential Equations with Varying High Frequencies
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Altmetric BadgeChapter 15 Dynamics of Multistep Methods
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