Spectral-collocation variational integrators

DOI10.1016/j.jcp.2016.12.007zbMath1380.65418OpenAlexW2560612192MaRDI QIDQ680086

Melvin Leok, Boying Wu, Yiqun Li

Publication date: 22 January 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.12.007

zbMATH Keywords

Lagrangian mechanicsvariational integratorsgeometric numerical integrationspectral-collocation methods

Mathematics Subject Classification ID

Hamilton's equations (70H05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Lagrange's equations (70H03)

Related Items (4)

Spectral variational integrators for semi-discrete Hamiltonian wave equations ⋮ Construction and comparison of multidimensional spectral variational integrators and spectral collocation methods ⋮ Chebyshev spectral variational integrator and applications ⋮ Simulation and trajectory optimization of articulated robots via spectral variational integrators

Uses Software

• Matlab

Cites Work

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• Some numerical algorithms for solving the highly oscillatory second-order initial value problems
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• New families of symplectic splitting methods for numerical integration in dynamical astronomy
• Spectral variational integrators
• Prolongation-collocation variational integrators
• Discrete mechanics and variational integrators
• Backward Error Analysis for Numerical Integrators
• Spectral Methods in MATLAB
• Discrete Euler-Poincaré and Lie-Poisson equations
• Geometric Numerical Integration
• Implicit Runge-Kutta Processes

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