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Renormalization group and singular perturbations

	Author(s):	Chen, Goldenfeld, Oono.
	Collection:
	Publisher:
	Year:	1995
	Language:	English
	Pages:	19 pages
	Size:
	Extension:	DJVU

[tab] [content title="Description"]Perturbative renormalization group theory is developed as a unified tool for global asymptotic analysis. With numerous examples, we illustrate its application to ordinary differential equation problems involving multiple scales, boundary layers with technically difficult asymptotic matching, and WKB analysis. In contrast to conventional methods, the renormalization group approach requires neither ad hoc assumptions about the structure of perturbation series nor the use of asymptotic matching. Our renormalization group approach provides approximate solutions which are practically superior to those obtained conventionally, although the latter can be reproduced, if desired, [/content] [content title="Content"] [/content] [content title="About the author"]Department of Physics, Materials Research Laboratory, and Beckman Institute, 1110 West Green Street, University of Illinois at Urbana–Champaign, Urbana, Illinois 61801-3080 Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030 [/content] [/tab]

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