Differential geometry and mechanics: a source for computer algebra problems

DOI10.1134/S0361768820020097zbMath1455.68288OpenAlexW3017012483WikidataQ114847352 ScholiaQ114847352MaRDI QIDQ2217200

Yanyan Li

Publication date: 18 December 2020

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768820020097

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Applications of differential geometry to engineering (53Z30)

Related Items (3)

Construction of pseudo-geometric integrators ⋮ Learning port-Hamiltonian systems -- algorithms ⋮ From modelling of systems with constraints to generalized geometry and back to numerics

Cites Work

• Dirac sigma models
• Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
• Dirac structures in Lagrangian mechanics. II: Variational structures
• An intrinsic Hamiltonian formulation of network dynamics: Non-standard Poisson structures and gyrators
• Dirac Manifolds
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