Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions
DOI10.3934/mine.2019.3.447zbMath1435.82050arXiv1812.01870OpenAlexW2903007738WikidataQ127747455 ScholiaQ127747455MaRDI QIDQ2305083
Bertin Many Manda, Thudiyangal Mithun, Charalampos Skokos, Carlo Danieli
Publication date: 10 March 2020
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.01870
optimizationordinary differential equationscomputational efficiencyvariational equationsLyapunov exponentsymplectic integratorsclassical many-body systems
Numerical optimization and variational techniques (65K10) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) NLS equations (nonlinear Schrödinger equations) (35Q55) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Many-body theory; quantum Hall effect (81V70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Computational molecular dynamics in statistical mechanics (82M37)
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