On a certain renormalization group method

Journal of Mathematical Physics

Volumn 41, Issue 5, 2000, Pages 3290-3299

  Ziane, M ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347402     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533307     Document Type: Article

References (14)

1. N. Goldenfeld, Lectures on Phase Transition and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
2. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
3. G. I. Barenblatt, Similarity, Self-Similarity, and Intermediate Asymptotics (Consultants Bureau, New York, 1979).
4. L. I. Chen, N. Goldenfeld, and Y. Oono, "The renormalization group and singular perturbations: Multiple-scales, boundary layers and reductive perturbation theory," Phys. Rev. E 54, 376-394 (1997).
5. L. I. Chen, N. Goldenfeld, and Y. Oono, "Renormalization group theory for global asymptotic analysis," Phys. Rev. Lett. 73, 1311-1315 (1994).
6. L. I. Chen, N. Goldenfeld, and Y. Oono, "Asymptotics of partial differential equations and the renormalisation group," NATO Adv. Study Inst. Ser., Ser. B 284, 375-383 (1991).
7. I. Moise and M. Ziane (unpublished).
8. I. Moise, E. Simonnet, R. Temam, and M. Ziane, "Numerical simulations of differential systems displaying rapidly oscillating solutions," J. Eng. Math. 34, 201-214 (1998).
9. H. Poincaré, Les Méthodes Nouvelles de la Mécanique Céleste (Dover, New York, 1957).
10. J. D. Cole and J. Kevorkian, Perturbation Methods in Applied Mathematics, Applied Mathematical Sciences Vol. 34 (Springer, Berlin, 1981).
11. N. N. Bogoliubov and I. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations (Gordon and Breach, New York, 1961).
12. V. I. Arnold, Geometric Methods in the Theory of Ordinary Differential Equations (Springer, New York, 1988).
13. J. Bricmont and A. Kupiainen, "Renormalization group and asymptotics of solutions of nonlinear parabolic equations," Commun. Pure Appl. Math. 47, (1994).
14. N. Goldenfeld, O. Martin, and Y. Oono, "Intermediate asymptotics and renormalization group theory," J. Sci. Comput. 4, 355-372 (1989).