Fetching the paper…
Reading the bibliography…
Transport-dominated phenomena provide a challenge for common mode-based model reduction approaches.
Principal Component Analysis
I. T. Jolliffe · 1986
Earlier work this paper cites.
Reduced order modeling for high speed flows with moving shocks
D. J. Lucia · 2001
Earlier work this paper cites.
Balanced model reduction via the proper orthogonal decomposition
K. Willcox and J. Peraire · 2002
Earlier work this paper cites.
A new look at proper orthogonal decomposition
M. Rathinam and L. R. Petzold · 2003
Earlier work this paper cites.
Reduction and reconstruction for self-similar dynamical systems
C. W. Rowley, I. G. Kevrekidis, J. E. Marsden, and K. Lust · 2003
Earlier work this paper cites.
An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
M. Barrault, Y. Maday, N. C. Nguyen, and A. T. Patera · 2004
Earlier work this paper cites.
Freezing solutions of equivariant evolution equations
W. J. Beyn and V. Thümmler · 2004
Earlier work this paper cites.
POD snapshot data reduction for periodic fluid flows
T. J. Barber, M. H. Ahmed, and N. Y. Abdel Shafi · 2005
Earlier work this paper cites.
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control
M. Hinze and S. Volkwein · 2005
Earlier work this paper cites.
A rational Krylov algorithm for optimal ℋ 2 \mathcal{H}_{2} model reduction
S. Gugercin, A. C. Antoulas, and C. A. Beattie · 2006
Earlier work this paper cites.
A framework for the solution of the generalized realization problem
A. J. Mayo and A. C. Antoulas · 2007
Earlier work this paper cites.
A Karhunen–Loeve decomposition of a Gaussian process generated by independent pairs of exponential random variables
P. Deheuvels and G. V. Martynov · 2008
Earlier work this paper cites.
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations
G. Rozza, D. B. P. Huynh, and A. T. Patera · 2008
Earlier work this paper cites.
Dynamic mode decomposition of numerical and experimental data
P. J. Schmid and J. L. Sesterhenn · 2008
Earlier work this paper cites.
Interpolatory projection methods for structure-preserving model reduction
C. Beattie and S. Gugercin · 2009
Earlier work this paper cites.
A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations
Christophe Bogey, Nicolas De Cacqueray, and Christophe Bailly · 2009
Earlier work this paper cites.
Convex Optimization
S. Boyd and L. Vandenberghe · 2009
Cited alongside, same era.
An introduction to the POD Galerkin method for fluid flows with analytical examples and MATLAB source codes
D. M. Luchtenburg, B. R. Noack, and M. Schlegel · 2009
Cited alongside, same era.
Interpolatory model reduction of large-scale dynamical systems
A. C. Antoulas, C. A. Beattie, and S. Gugercin · 2010
Cited alongside, same era.
Nonlinear model reduction via discrete empirical interpolation
S. Chaturantabut and D. C. Sorensen · 2010
Cited alongside, same era.
Balanced realization and model order reduction for nonlinear systems based on singular value analysis
K. Fujimoto and J. M. A. Scherpen · 2010
Cited alongside, same era.
Reduced basis methods for parametrized partial differential equations
J. L. Eftang · 2011
Advection modes by optimal mass transfer
A. Iollo and D. Lombardi · 2014
Later among the works it cites.
A conservative, skew-symmetric finite difference scheme for the compressible Navier-Stokes equations
J. Reiss and J. Sesterhenn · 2014
Later among the works it cites.
Adaptive h-refinement for reduced-order models
K. Carlberg · 2015
Closest in time.
Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems
M. A. Dihlmann and B. Haasdonk · 2015
Closest in time.
Symmetry reduction of turbulent pipe flows
F. Fedele, O. Abessi, and P. J. Roberts · 2015
Closest in time.
Model reduction of reactive processes
M. Lemke, A. Miedlar, J. Reiss, V. Mehrmann, and J. Sesterhenn · 2015
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition
B. Haasdonk and M. Ohlberger · 2011
Cited alongside, same era.
Variants of dynamic mode decomposition: Boundary condition, Koopman, and Fourier analyses
K. K. Chen, J. H. Tu, and C. W. Rowley · 2012
Cited alongside, same era.
Reduced order models for parameterized hyperbolic conservations laws with shock reconstruction
P. G. Constantine and G. Iaccarino · 2012
Cited alongside, same era.
Certified reduced basis methods for nonaffine linear time-varying and nonlinear parabolic partial differential equations
M. A. Grepl · 2012
Cited alongside, same era.
An improved algorithm for balanced POD through an analytic treatment of impulse response tails
Jonathan H. Tu and Clarence W. Rowley · 2012
Cited alongside, same era.
A new error bound for reduced basis approximation of parabolic partial differential equations
K. Urban and A. T. Patera · 2012
Cited alongside, same era.
A family of energy stable, skew-symmetric finite difference schemes on collocated grids
Julius Reiss · 2015
Closest in time.
Reduced basis techniques for nonlinear conservation laws
T. Taddei, S. Perotto, and A. Quarteroni · 2015
Closest in time.
Transformed snapshot interpolation
G. Welper · 2015
Closest in time.
Robust model reduction by L 1 L^{1} -norm minimization and approximation via dictionaries: Application to nonlinear hyperbolic problems
R. Abgrall, D. Amsallem, and R. Crisovan · 2016
Closest in time.
Model order reduction for problems with large convection effects
N. Cagniart, Y. Maday, and B. Stamm · 2016
Closest in time.
A Lagrangian dynamic mode decomposition
J. Sesterhenn and A. Shahirpour · 2016
Closest in time.
Lagrangian basis method for dimensionality reduction of convection dominated nonlinear flows
R. Mojgani and M. Balajewicz · 2017
Closest in time.
Transport reversal for model reduction of hyperbolic partial differential equations
D. Rim, S. Moe, and R. J. LeVeque · 2017
Closest in time.
Code for the paper ”The shifted proper orthogonal decomposition: a mode decomposition for multiple transport phenomena”
J. Reiss and P. Schulze · 2018
Closest in time.