Statistics – Computation
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006jcoam.190....3o&link_type=abstract
Journal of Computational and Applied Mathematics, Vol. 190, pp. 3 - 21
Statistics
Computation
4
Amplitude Equations, Averaging, Multiple Scales, Singular Perturbations
Scientific paper
Results by physicists on renormalization group techniques have recently sparked interest in the singular perturbations community of applied mathematicians. The survey paper, [Phys. Rev. E 54(1) (1996) 376-394], by Chen et al. demonstrated that many problems which applied mathematicians solve using disparate methods can be solved using a single approach. Analysis of that renormalization group method by Mudavanhu and O'Malley [Stud. Appl. Math. 107(1) (2001) 63-79; SIAM J. Appl. Math. 63(2) (2002) 373-397], among others, indicates that the technique can be streamlined. This paper carries that analysis several steps further to present an amplitude equation technique which is both well adapted for use with a computer algebra system and easy to relate to the classical methods of averaging and multiple scales.
O'Malley Robert E. Jr.
Williams David B.
No associations
LandOfFree
Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1063451