Experimental Comparison of Symplectic and Non-symplectic Model Order Reduction on an Uncertainty Quantification Problem

DOI10.1007/978-3-030-55874-1_19zbMath1470.65206OpenAlexW3157075445MaRDI QIDQ5152808

Patrick Buchfink, Bernard Haasdonk

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_19

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• An SVD-like matrix decomposition and its applications
• Introduction to Uncertainty Quantification
• Simulating Hamiltonian Dynamics
• Symplectic Model Reduction of Hamiltonian Systems
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Structure Preserving Model Reduction of Parametric Hamiltonian Systems
• Model Reduction and Approximation
• Structure-preserving reduced basis methods for Poisson systems
• Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems
• Geometric Numerical Integration

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