Discrete integrable systems and geometric numerical integration

This thesis deals with discrete integrable systems theory and modified Hamiltonian equations in the field of geometric numerical integration. Modified Hamiltonians are used to show that symplectic schemes for Hamiltonian systems are accurate over long times. However, for nonlinear systems the series...

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Bibliographic Details
Main Author: Alsallami, Shami Ali M.
Other Authors: Nijhoff, Frank ; Niesen, Jitse
Published: University of Leeds 2018
Subjects:
519
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.759816