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Simulating Hamiltonian Dynamics - Leimkuhler, Benedict, and Reich, Sebastian
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Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N ...

Simulating Hamiltonian Dynamics 2005, Cambridge University Press, Cambridge

ISBN-13: 9780521772907