Thus, it is applicable for not only weakly but also strongly nonlinear problems, going beyond some of the inherent limitations of the standard perturbation methods.
12.
Cole took sabbatical in 1963-1964 at Harvard, where he wrote a seminal book on this body of work : " Perturbation Methods in Applied Mathematics ".
13.
Applications of the WKB method to Schr�dinger equations with a large variety of potentials and comparison with perturbation methods and path integrals are treated in M�ller-Kirsten.
14.
Instead, they offered up " Newton's Experimental Investigation of Diffraction for the Optiks " ( CQ ) and " Newton's Perturbation Methods for Celestial Mechanics ."
15.
The reason we don't find these solutions in the above perturbation method is because these solutions diverge when while the ansatz assumes regular behavior in this limit.
16.
The investigations are frequently combined with large-scale perturbation methods, including gene-based ( RNAi, mis-expression of wild type and mutant genes ) and chemical approaches using small molecule libraries.
17.
It is now widely agreed that the coupled cluster and many-body perturbation methods that Bartlett has been instrumental in establishing offer the most predictive, generally applicable approaches in the field.
18.
He then solved the same problem by treating the anharmonic potential term as a perturbation to the harmonic oscillator and using the perturbation methods that he and Born had developed.
19.
For books on singular perturbation in ODE and PDE's, see for example Holmes, " Introduction to Perturbation Methods ", Hinch, " Perturbation methods " or Orszag, " Advanced Mathematical Methods for Scientists and Engineers ".
20.
For books on singular perturbation in ODE and PDE's, see for example Holmes, " Introduction to Perturbation Methods ", Hinch, " Perturbation methods " or Orszag, " Advanced Mathematical Methods for Scientists and Engineers ".
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