Model reduction of dynamical systems by proper orthogonal decomposition: Error bounds and comparison of methods using snapshots from the solution and the time derivatives

Model Reduction ◽

Error Bounds ◽

Comparison Of Methods ◽

Model Reduction of Input-Output Dynamical Systems by Proper Orthogonal Decomposition

Journal of Guidance Control and Dynamics ◽

10.2514/1.29456 ◽

2008 ◽

Vol 31 (2) ◽

pp. 322-328 ◽

Cited By ~ 13

Author(s):

Arthur C. Or ◽

Jason L. Speyer ◽

Henry A. Carlson

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Input Output ◽

Model Reduction of Input-Output Dynamical Systems by Proper Orthogonal Decomposition

AIAA Guidance, Navigation and Control Conference and Exhibit ◽

10.2514/6.2008-6481 ◽

2008 ◽

Author(s):

Arthur Or ◽

Jason Speyer ◽

Henry Carlson

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Input Output ◽

Snapshot selection for groundwater model reduction using proper orthogonal decomposition

Water Resources Research ◽

10.1029/2009wr008792 ◽

2010 ◽

Vol 46 (8) ◽

Cited By ~ 45

Author(s):

Adam J. Siade ◽

Mario Putti ◽

William W.-G. Yeh

Keyword(s):

Model Reduction ◽

Groundwater Model ◽

Selection For ◽

On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

SIAM Journal on Numerical Analysis ◽

10.1137/20m1371798 ◽

2021 ◽

Vol 59 (4) ◽

pp. 2163-2196

Author(s):

Birgul Koc ◽

Samuele Rubino ◽

Michael Schneier ◽

John Singler ◽

Traian Iliescu

Keyword(s):

Error Bounds ◽

Time Error ◽

Difference Quotients ◽

Model reduction of a coupled numerical model using proper orthogonal decomposition

Journal of Hydrology ◽

10.1016/j.jhydrol.2013.09.011 ◽

2013 ◽

Vol 507 ◽

pp. 227-240 ◽

Cited By ~ 8

Author(s):

Xinya Li ◽

Xiao Chen ◽

Bill X. Hu ◽

I. Michael Navon

Keyword(s):

Numerical Model ◽

Model Reduction ◽

Coupled Numerical Model ◽

Selective proper orthogonal decomposition model reduction for forming simulations

PAMM ◽

10.1002/pamm.201310053 ◽

2013 ◽

Vol 13 (1) ◽

pp. 115-116 ◽

Cited By ~ 6

Author(s):

Annika Radermacher ◽

Stefanie Reese ◽

Ashraf Moh'd Hasan Hadoush

Keyword(s):

Model Reduction ◽

Decomposition Model ◽

Forming Simulations ◽

Lecture Notes in Computational Science and Engineering - Parallel Computational Fluid Dynamics 2008 ◽

Proper Orthogonal Decomposition In Decoupling Large Dynamical Systems

10.1007/978-3-642-14438-7_20 ◽

2010 ◽

pp. 193-202

Author(s):

Toan Pham ◽

Damien Tromeur-Dervout

Keyword(s):

Dynamical Systems ◽

Model Reduction via Proper Orthogonal Decomposition for the Lithium Ion Battery

ECS Transactions ◽

10.1149/1.3018746 ◽

2019 ◽

Vol 13 (19) ◽

pp. 13-26 ◽

Cited By ~ 1

Author(s):

Long Cai ◽

Ralph E. White

Keyword(s):

Model Reduction ◽

Lithium Ion Battery ◽

Lithium Ion ◽

Balanced Model Reduction via the Proper Orthogonal Decomposition

AIAA Journal ◽

10.2514/2.1570 ◽

2002 ◽

Vol 40 (11) ◽

pp. 2323-2330 ◽

Cited By ~ 508

Author(s):

K. Willcox ◽

J. Peraire

Keyword(s):

Model Reduction ◽

Balanced Model ◽

Model reduction applied to square to rectangular martensitic transformations using proper orthogonal decomposition

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.07.004 ◽

2007 ◽

Vol 57 (5-7) ◽

pp. 510-520 ◽

Cited By ~ 8

Author(s):

L.X. Wang ◽

Roderick V.N. Melnik

Keyword(s):

Model Reduction ◽

Martensitic Transformations ◽