Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder
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Publication:5886859
DOI10.1137/21M1466657MaRDI QIDQ5886859
Silke Glas, Patrick Buchfink, Bernard Haasdonk
Publication date: 11 April 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.10815
Hamiltonian systemsenergy preservationnonlinear dimension reductionautoencodersstability preservationsymplectic model reduction
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Dynamical systems in numerical analysis (37N30) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
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