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A reduced-order model algorithm, based on approximations of Lax pairs, is proposed to solve nonlinear evolution partial differential equations.
Integrals of nonlinear equations of evolution and solitary waves
P. D. Lax · 1968
Earlier work this paper cites.
Interaction between solitons in a stable medium
V.E. Zakharov and Shabat A.B · 1973
Earlier work this paper cites.
The small dispersion limit of the Korteveg-de Vries equation I
P. D. Lax and C.D. Levermore · 1983
Earlier work this paper cites.
Low dimensional description of complicated phenomena
L. Sirovich · 1989
Earlier work this paper cites.
Solitons: an introduction
P.G. Drazin and R.S. Johnson · 1996
Earlier work this paper cites.
The semiclassical limit of the defocousing NLS hierarchy
J. Shan, C.D. Levermore, and D.W. McLaughlin · 1999
Earlier work this paper cites.
Solitons and the Inverse Scattering Transform
M.J. Ablowitz and H. Segur · 2000
Cited alongside, same era.
A reduced-basis element method
Y. Maday and E.M. Rønquist · 2002
Cited alongside, same era.
Integrable nonlinear evolution equations on a finite interval
A. Boutet de Monvel, A.S. Fokas, and D. Shepelsky · 2006
Cited alongside, same era.
Separation of arterial pressure into a nonlinear superposition of solitary waves and windkessel flow
M.T. Laleg, E. Crepeau, and M. Sorine · 2007
Cited alongside, same era.
Arterial blood pressure analysis based on scattering transform ii
T.M. Laleg, C. Médigue, F. Cottin, and M. Sorine · 2007
Cited alongside, same era.
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 · 2007
Later among the works it cites.
Analyse de signaux par quantification semi-classique. Application à l’analyse des signaux de pression artérielle
T.M. Laleg · 2008
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Validation of a semi-classical signal analysis method for stroke volume variation assessment: A comparison with the picco technique
T.M. Laleg-Kirati, C. Médigue, Y. Papelier, F. Cottin, and A. Van de Louw · 2010
Later among the works it cites.
Scaling invariant Lax pairs of nonlinear evolution equations
Mark Hickman, Willy Hereman, Jennifer Larue, and Ünal Göktaş · 2012
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Semi-classical signal analysis
T.M. Laleg-Kirati, E. Crépeau, and M. Sorine · 2012
Closest in time.
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