Projected Runge-Kutta methods for constrained Hamiltonian systems

DOI10.1007/s10483-016-2119-8zbMath1348.74140OpenAlexW2504735778MaRDI QIDQ333934

Yi Wei, Bo Wang, Zi-Chen Deng, Qing-Jun Li

Publication date: 31 October 2016

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2119-8

zbMATH Keywords

constraint violationconstrained Hamiltonian systemdifferential-algebraic equation (DAE)energy and constraint preservationprojected Runge-Kutta (R-K) method

Mathematics Subject Classification ID

Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

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