The Renormalization Group: A Perturbation Method for the Graduate Curriculum

被引：25
|
作者：
Kirkinis, Eleftherios [1 ]
机构：
[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
来源：
SIAM REVIEW | 2012年 / 54卷 / 02期
关键词：
asymptotic methods; perturbation theory; nonlinear oscillations; nonlinear wave propagation; multiple scales; MULTIPLE SCALES; DIFFERENTIAL-EQUATIONS; NONLINEAR OSCILLATORS; AMPLITUDE EQUATIONS; BOUNDARY-LAYERS; FREEDOM SYSTEMS; NON-LINEARITIES; EXCITATION; BORN;
D O I：
10.1137/080731967
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the renormalization group (RG) method of Chen, Goldenfeld, and Oono [Phys. Rev. Lett., 73 (1994), pp. 1311-1315; Phys. Rev. E, 54 (1996), pp. 376-394] is presented in a pedagogical way to increase its visibility in applied mathematics and to argue favorably for its incorporation into the corresponding graduate curriculum. The method is illustrated by some linear and nonlinear singular perturbation problems.
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页码：374 / 388
页数：15
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