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Publications about 'Uncertainty quantification in PDEs'


B. K. Lieu and M. R. Jovanovic.
Computation of frequency responses for linear timeinvariant PDEs on a compact interval.
J. Comput. Phys.,
250:246269,
October 2013.
Keyword(s): Distributed systems theory,
Computational tools for spatially distributed systems,
Uncertainty quantification in PDEs.
[bibtexentry]

B. K. Lieu,
M. R. Jovanovic,
and S. Kumar.
Worstcase amplification of disturbances in inertialess Couette flow of viscoelastic fluids.
J. Fluid Mech.,
723:232263,
May 2013.
Keyword(s): Flow modeling and control,
Viscoelastic fluids,
Inputoutput analysis,
Elastic turbulence,
Transition to turbulence,
Uncertainty quantification in PDEs,
Worstcase amplification.
[bibtexentry]

S. Y. Shafi,
M. Arcak,
M. R. Jovanovic,
and A. Packard.
Synchronization of diffusivelycoupled limit cycle oscillators.
Automatica,
49(12):36133622,
December 2013.
Keyword(s): Biochemical networks,
Diffusively coupled systems,
Timeperiodic systems,
Synchronization,
Uncertainty quantification in PDEs.
[bibtexentry]

M. Fardad,
M. R. Jovanovic,
and B. Bamieh.
Frequency analysis and norms of distributed spatially periodic systems.
IEEE Trans. Automat. Control,
53(10):22662279,
November 2008.
Keyword(s): Distributed systems theory,
Inputoutput analysis,
Spatiallyperiodic systems,
Uncertainty quantification in PDEs.
[bibtexentry]

M. R. Jovanovic and M. Fardad.
$H_2$ norm of linear timeperiodic systems: a perturbation analysis.
Automatica,
44(8):20902098,
August 2008.
Keyword(s): Distributed systems theory,
Inputoutput analysis,
Timeperiodic systems,
Perturbation analysis,
Uncertainty quantification in PDEs.
[bibtexentry]

M. R. Jovanovic and B. Bamieh.
A formula for frequency responses of distributed systems with one spatial variable.
Syst. Control Lett.,
55(1):2737,
January 2006.
Keyword(s): Distributed systems theory,
Computational tools for spatially distributed systems,
Uncertainty quantification in PDEs.
[bibtexentry]

S. Y. Shafi,
M. Arcak,
and M. R. Jovanovic.
Synchronization of limit cycle oscillations in diffusivelycoupled systems.
In Proceedings of the 2013 American Control Conference,
Washington, DC,
pages 48744879,
2013.
Keyword(s): Biochemical networks,
Diffusively coupled systems,
Timeperiodic systems,
Synchronization,
Uncertainty quantification in PDEs.
[bibtexentry]
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