Global energy preserving model reduction for multi-symplectic PDEs (Q2673950)

scientific article; zbMATH DE number 7589669

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English	Global energy preserving model reduction for multi-symplectic PDEs	scientific article; zbMATH DE number 7589669

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instance of

scholarly article

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title

Global energy preserving model reduction for multi-symplectic PDEs (English)

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Applied Mathematics and Computation

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publication date

21 September 2022

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full work available at URL

https://arxiv.org/abs/2203.10933

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zbMATH Keywords

model reduction

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proper orthogonal decomposition

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discrete empirical interpolation method

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Hamiltonian PDE

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multi-symplecticity

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energy preservation

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MaRDI profile type

Publication

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cites work

Simulating Hamiltonian Dynamics

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Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs

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Linearly Implicit Local and Global Energy-Preserving Methods for PDEs with a Cubic Hamiltonian

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Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs

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Multi-symplectic integration of the Camassa-Holm equation

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Numerical analysis of AVF methods for three-dimensional time-domain Maxwell's equations

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Symplectic and multisymplectic Lobatto methods for the “good” Boussinesq equation

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Geometric Numerical Integration

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Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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Backward error analysis for multi-symplectic integration methods

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Symplectic wavelet collocation method for Hamiltonian wave equations

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Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs

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Turbulence and the dynamics of coherent structures. I. Coherent structures

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Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics

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Structure-preserving model reduction for nonlinear port-Hamiltonian systems

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Symplectic Model Reduction of Hamiltonian Systems

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Structure Preserving Model Reduction of Parametric Hamiltonian Systems

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Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems

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Structure-preserving model reduction for dynamical systems with a first integral

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Structure preserving model order reduction of shallow water equations

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Energy preserving model order reduction of the nonlinear Schrödinger equation

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Structure-preserving reduced basis methods for Poisson systems

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Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

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Dynamical reduced basis methods for Hamiltonian systems

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Reduced basis methods for time-dependent problems

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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A new selection operator for the discrete empirical interpolation method -- improved a priori error bound and extensions

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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Decay of the Kolmogorov \(N\)-width for wave problems

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Breaking the Kolmogorov Barrier with Nonlinear Model Reduction

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Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations

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The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs

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Multi-Symplectic Splitting Method for Two-Dimensional Nonlinear Schrödinger Equation

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General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AMC.2022.127483

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Sitelinks

Mathematics(1 entry)

mardi Publication:2673950