Model order reduction for nonlinear Schrödinger equation
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Publication:300152
DOI10.1016/j.amc.2015.02.001zbMath1339.65123arXiv1409.3995OpenAlexW1994139379MaRDI QIDQ300152
Bülent Karasözen, Canan Akkoyunlu, Murat Uzunca
Publication date: 23 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.3995
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Parametric nonlinear model reduction using \(K\)-means clustering for miscible flow simulation ⋮ Energy preserving model order reduction of the nonlinear Schrödinger equation ⋮ Novel modal methods for transient analysis with a reduced order model based on enhanced Craig-Bampton formulation ⋮ Structure-preserving model reduction for dynamical systems with a first integral ⋮ Unnamed Item
Uses Software
Cites Work
- \texttt{smt}: A Matlab toolbox for structured matrices
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- Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions
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- Multi-Symplectic Splitting Method for Two-Dimensional Nonlinear Schrödinger Equation
- An Algorithm for the Principal Component Analysis of Large Data Sets
- Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Geometric integrators for the nonlinear Schrödinger equation
- Galerkin proper orthogonal decomposition methods for parabolic problems
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