Proper orthogonal decomposition-based model order reduction via radial basis functions for molecular dynamics systems

Chung-Hao Lee; Jiun-Shyan Chen

doi:10.1002/nme.4552

Proper orthogonal decomposition-based model order reduction via radial basis functions for molecular dynamics systems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4552 ◽

2013 ◽

Vol 96 (10) ◽

pp. 599-627 ◽

Cited By ~ 5

Author(s):

Chung-Hao Lee ◽

Jiun-Shyan Chen

Keyword(s):

Molecular Dynamics ◽

Proper Orthogonal Decomposition ◽

Radial Basis Functions ◽

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Basis Functions ◽

Model Order ◽

Radial Basis ◽

Proper Orthogonal

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Proper Orthogonal Decomposition Model Order Reduction of Nonlinear IC Models

Progress in Industrial Mathematics at ECMI 2008 - Mathematics in Industry ◽

10.1007/978-3-642-12110-4_68 ◽

2010 ◽

pp. 441-446 ◽

Cited By ~ 4

Author(s):

A. Verhoeven ◽

M. Striebel ◽

J. Rommes ◽

E. J. W. ter Maten ◽

T. Bechtold

Keyword(s):

Proper Orthogonal Decomposition ◽

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Model Order ◽

Decomposition Model ◽

Proper Orthogonal

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Model Order Reduction of Nonlinear Transmission Lines Using Interpolatory Proper Orthogonal Decomposition

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2018.2880759 ◽

2018 ◽

Vol 66 (12) ◽

pp. 5429-5438 ◽

Cited By ~ 1

Author(s):

Behzad Nouri ◽

Michel S. Nakhla

Keyword(s):

Proper Orthogonal Decomposition ◽

Transmission Lines ◽

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Nonlinear Transmission Lines ◽

Model Order ◽

Nonlinear Transmission ◽

Proper Orthogonal

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Model Order Reduction of Nonlinear Circuit using Proper Orthogonal Decomposition and Nonlinear Autoregressive with eXogenous input (NARX) Neural Network

2018 16th ACM/IEEE International Conference on Formal Methods and Models for System Design (MEMOCODE) ◽

10.1109/memcod.2018.8556906 ◽

2018 ◽

Author(s):

S. Nagaraj ◽

D. Seshachalam ◽

Sunil Hucharaddi

Keyword(s):

Neural Network ◽

Proper Orthogonal Decomposition ◽

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Nonlinear Circuit ◽

Model Order ◽

Proper Orthogonal ◽

Nonlinear Autoregressive ◽

Narx Neural Network

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Model order reduction of Mikota’s vibration chain including damping effects by means of proper orthogonal decomposition

Journal of Theoretical and Applied Mechanics ◽

10.15632/jtam-pl.56.2.511 ◽

2018 ◽

pp. 511

Author(s):

Wolfgang E. Weber ◽

Bernd W. Zastrau

Keyword(s):

Proper Orthogonal Decomposition ◽

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Model Order ◽

Damping Effects ◽

Proper Orthogonal

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Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition

AIAA Journal ◽

10.2514/1.j057791 ◽

2019 ◽

Vol 57 (6) ◽

pp. 2297-2307 ◽

Cited By ~ 22

Author(s):

Boris Kramer ◽

Karen E. Willcox

Keyword(s):

Proper Orthogonal Decomposition ◽

Nonlinear Model ◽

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Model Order ◽

Proper Orthogonal

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Bridging proper orthogonal decomposition methods and augmented Newton–Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.10.009 ◽

2011 ◽

Vol 200 (5-8) ◽

pp. 850-866 ◽

Cited By ~ 80

Author(s):

P. Kerfriden ◽

P. Gosselet ◽

S. Adhikari ◽

S.P.A. Bordas

Keyword(s):

Proper Orthogonal Decomposition ◽

Model Order Reduction ◽

Order Reduction ◽

Decomposition Methods ◽

Orthogonal Decomposition ◽

Adaptive Model ◽

Model Order ◽

Highly Nonlinear ◽

Nonlinear Mechanical ◽

Proper Orthogonal

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Parametric model order reduction with a small ℋ 2 $\mathcal {H}_{2}$ -error using radial basis functions

Advances in Computational Mathematics ◽

10.1007/s10444-015-9410-7 ◽

2015 ◽

Vol 41 (5) ◽

pp. 1231-1253 ◽

Cited By ~ 2

Author(s):

Peter Benner ◽

Sara Grundel ◽

Nils Hornung

Keyword(s):

Radial Basis Functions ◽

Model Order Reduction ◽

Order Reduction ◽

Parametric Model ◽

Basis Functions ◽

Model Order ◽

Parametric Model Order Reduction ◽

Radial Basis

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2 Model order reduction by proper orthogonal decomposition

Snapshot-Based Methods and Algorithms ◽

10.1515/9783110671490-002 ◽

2020 ◽

pp. 47-96

Keyword(s):

Proper Orthogonal Decomposition ◽

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Model Order ◽

Proper Orthogonal

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An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.10.004 ◽

2018 ◽

Vol 92 ◽

pp. 244-256 ◽

Cited By ~ 25

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Euler Equation ◽

Proper Orthogonal Decomposition ◽

Radial Basis Functions ◽

Orthogonal Decomposition ◽

Differential Quadrature ◽

Basis Functions ◽

Compressible Euler Equation ◽

Compressible Euler ◽

Radial Basis ◽

Proper Orthogonal

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Automatic, black-box model order reduction using radial basis functions

2011 IEEE International Symposium on Antennas and Propagation (APSURSI) ◽

10.1109/aps.2011.5997134 ◽

2011 ◽

Author(s):

Matthew B. Stephanson ◽

Jin-Fa Lee

Keyword(s):

Radial Basis Functions ◽

Model Order Reduction ◽

Order Reduction ◽

Black Box ◽

Basis Functions ◽

Box Model ◽

Model Order ◽

Radial Basis

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