Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions

Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions

We investigate the computational performance of various numerical methods for the integration of the equations of motion and the variational equations for some typical classical many-body models of condensed matter physics: the Fermi-Pasta-Ulam-Tsingou (FPUT) chain and the one- and two-dimensional d...

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Bibliographic Details
Main Authors: Carlo Danieli, Bertin Many Manda, Thudiyangal Mithun, Charalampos Skokos
Format: Article
Language:English
Published: AIMS Press 2019-05-01
Series:Mathematics in Engineering
Subjects:
classical many-body systems
variational equations
ordinary differential equations
symplectic integrators
Lyapunov exponent
computational efficiency
optimization
Online Access:https://www.aimspress.com/article/10.3934/mine.2019.3.447/fulltext.html

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https://www.aimspress.com/article/10.3934/mine.2019.3.447/fulltext.html

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