Symbolic test of the Jacobi identity for given generalized `Poisson' bracket

DOI10.1016/S0010-4655(01)00161-8zbMath0984.65133OpenAlexW2128584445WikidataQ58052147 ScholiaQ58052147MaRDI QIDQ5944582

Hans Christian Öttinger, Martin Kröger, Markus Hütter

Publication date: 14 May 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(01)00161-8

zbMATH Keywords

algorithmHamiltonianJacobi identityPoisson bracketequations of motionLie bracketfunctional derivativeGENERICnonequilibrium thermodynamicsreversible motionsymbolic programming

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (7)

On the Compatibility of Sharp and Diffuse Interfaces Out of Equilibrium ⋮ Finite anisotropic elasticity and material frame indifference from a nonequilibrium thermodynamics perspective ⋮ On computational Poisson geometry. II. Numerical methods ⋮ Automated symbolic calculations in nonequilibrium thermodynamics ⋮ jacobi2.0 ⋮ On computational Poisson geometry. I: Symbolic foundations ⋮ Examples of symbolic and numerical computation in Poisson geometry

Uses Software

• Mathematica

Cites Work

• A simple example for comparing GENERIC with rational nonequilibrium thermodynamics

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