An error analysis of the dynamic mode decomposition

[1]  J. Nash Compact Numerical Methods for Computers , 2018 .

[2]  Damon Honnery,et al.  A Comparison of Subpixel Edge Detection and Correlation Algorithms for the Measurement of Sprays , 2011 .

[3]  Thierry M. Faure,et al.  Experimental investigation of global structures in an incompressible cavity flow using time-resolved PIV , 2011 .

[4]  Peter J. Schmid,et al.  Application of the dynamic mode decomposition to experimental data , 2011 .

[5]  D. Honnery,et al.  A cross-correlation velocimetry technique for breakup of an annular liquid sheet , 2010 .

[6]  Parviz Moin,et al.  Revisiting Taylor's hypothesis , 2009, Journal of Fluid Mechanics.

[7]  I. Mezić,et al.  Spectral analysis of nonlinear flows , 2009, Journal of Fluid Mechanics.

[8]  Javier Jiménez,et al.  Estimation of turbulent convection velocities and corrections to Taylor's approximation , 2009, Journal of Fluid Mechanics.

[9]  Javier Jiménez,et al.  A high-resolution code for turbulent boundary layers , 2009, J. Comput. Phys..

[10]  P. Schmid,et al.  Dynamic mode decomposition of numerical and experimental data , 2008, Journal of Fluid Mechanics.

[11]  P. Schmid,et al.  Stability and Transition in Shear Flows. By P. J. SCHMID & D. S. HENNINGSON. Springer, 2001. 556 pp. ISBN 0-387-98985-4. £ 59.50 or $79.95 , 2000, Journal of Fluid Mechanics.

[12]  Antonio García-Olivares,et al.  The instability growth leading to a liquid sheet breakup , 1998 .

[13]  Nadine Aubry,et al.  The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.

[14]  A. Hussain,et al.  Coherent structures and turbulence , 1986, Journal of Fluid Mechanics.

[15]  P. E. Castro Compact Numerical Methods for Computers: Linear Algebra and Function Minimization , 1978 .

[16]  O. Vasilyev,et al.  Wavelet Methods in Computational Fluid Dynamics , 2010 .

[17]  A. Chatterjee An introduction to the proper orthogonal decomposition , 2000 .

[18]  L. Trefethen,et al.  Numerical linear algebra , 1997 .

[19]  M. B. Priestley,et al.  WAVELETS AND TIME‐DEPENDENT SPECTRAL ANALYSIS , 1996 .

[20]  P. Holmes,et al.  The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows , 1993 .

[21]  A. Hussain Coherent structures—reality and myth , 1983 .

[22]  J. Lumley Coherent Structures in Turbulence , 1981 .