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SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

by Ji-huan He , 2006
"... This paper features a survey of some recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the obtained approximate analytical solutions are valid for the whole solution domain. The limitations of traditional pertu ..."
Abstract - Cited by 185 (6 self) - Add to MetaCart
This paper features a survey of some recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the obtained approximate analytical solutions are valid for the whole solution domain. The limitations of traditional

PROPAGATION OF STRONGLY NONLINEAR WAVES IN

by unknown authors
"... ar ..."
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Abstract not found

ELLIPTIC EQUATIONS WITH STRONG NONLINEARITY t

by I Ienddate, Il U, Nonlin Earity , 1976
"... j Appr.v. ~ fet public s isuss Dis t rib uti ss uul lmitsd Sponsored by U. S. Army Research Office ..."
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j Appr.v. ~ fet public s isuss Dis t rib uti ss uul lmitsd Sponsored by U. S. Army Research Office

Multivariate Densities with Strong Nonlinear Relationships

by Geof H. Givens, Adrian E. Raftery, Geof H. Givens, Adrian E. Raftery , 1993
"... We consider adaptive importance sampling techniques which use kernel density estimates at each iteration as importance sampling functions. These can provide more nearly constant importance weights and more precise estimates of quantities of interest than the SIR algorithm when the initial importance ..."
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importance sampling function is diffuse relative to the target. We propose a new method which adapts to the varying local structure of the target. When the target has unusual structure, such as strong nonlinear relationships between variables, this

Advanced Data Assimilation for Strongly Nonlinear Dynamics.

by Geir Evensen , 1997
"... Advanced data assimilation methods becomes extremely complicated and challenging when used with strongly nonlinear models. Several previous works have reported various problems when applying existing popular data assimilation techniques with strongly nonlinear dynamics. Common for these techniques i ..."
Abstract - Cited by 62 (10 self) - Add to MetaCart
Advanced data assimilation methods becomes extremely complicated and challenging when used with strongly nonlinear models. Several previous works have reported various problems when applying existing popular data assimilation techniques with strongly nonlinear dynamics. Common for these techniques

Strong nonlinearity of the interfacial-surfactant instability

by David Halpern, Alexander L. Frenkel , 2006
"... The nonlinear stages of the recently uncovered instability due to insoluble surfactant at the interface between two fluids in a creeping plane Couette flow are investigated for the case when one of the fluids is a thin film and the other one is a much thicker layer. Numerical simulation of strongly ..."
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The nonlinear stages of the recently uncovered instability due to insoluble surfactant at the interface between two fluids in a creeping plane Couette flow are investigated for the case when one of the fluids is a thin film and the other one is a much thicker layer. Numerical simulation of strongly

EXISTENCE OF SOLUTIONS OF STRONGLY NONLINEAR ELLIPTIC EQUATIONS IN RN

by A. Benkirane, M. Kbiri Alaoui
"... The paper is dedicated to the existence of local solutions of strongly nonlinear equations in RN and the Orlicz spaces frame-work is used. 1 ..."
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The paper is dedicated to the existence of local solutions of strongly nonlinear equations in RN and the Orlicz spaces frame-work is used. 1

Strongly Nonlinear Vortices In Magnetized Ferrofluids

by Craig L. Russell, P.J. Blennerhassett, P. J. Stiles
"... Nonlinear convective roll cells that develop in thin layers of magnetized ferrofluids heated from above are examined in the limit as the wavenumber of the cells becomes large. Weakly nonlinear solutions of the governing equations are extended to solutions that are valid at larger distances above the ..."
Abstract - Cited by 2 (2 self) - Add to MetaCart
Nonlinear convective roll cells that develop in thin layers of magnetized ferrofluids heated from above are examined in the limit as the wavenumber of the cells becomes large. Weakly nonlinear solutions of the governing equations are extended to solutions that are valid at larger distances above

Energy spreading in strongly nonlinear disordered

by M Mulansky, A Pikovsky , 2013
"... lattices ..."
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Analysis of strongly nonlinear processes in geophysics

by V. R. Kardashov
"... Correct interpretation of results becomes an important issue when dealing with nonlinear phenomena of Solid Earth geophysics. Direct linearization of nonlinear processes can cause sufficient mistakes and even cardinally change the interpretation. In this work a simple and effective procedure for str ..."
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Correct interpretation of results becomes an important issue when dealing with nonlinear phenomena of Solid Earth geophysics. Direct linearization of nonlinear processes can cause sufficient mistakes and even cardinally change the interpretation. In this work a simple and effective procedure
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