Variation of Parameters and the Renormalization Group Method

DOI10.1111/sapm.12052zbMath1408.82002OpenAlexW1574594259MaRDI QIDQ4982250

Eleftherios Kirkinis, Robert E. jun. O'Malley

Publication date: 24 March 2015

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12052

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Cites Work

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• Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations
• Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations
• Simplified renormalization group method for ordinary differential equations
• Two-timing on the half line for damped oscillation equations
• Intermediate asymptotics and renormalization group theory
• A geometrical formulation of the renormalization group method for global analysis. II: Partial differential equations
• Working with multiscale asymptotics
• Regularized Renormalization Group Reduction of Symplectic Maps
• On a certain renormalization group method
• Asymptotic Analysis and Perturbation Theory
• The Renormalization Group: A Perturbation Method for the Graduate Curriculum
• A Survey in Mathematics for Industry: Two-timing and matched asymptotic expansions for singular perturbation problems
• Examples Illustrating the Use of Renormalization Techniques for Singularly Perturbed Differential Equations
• Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method
• A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems
• Amplitude equations and asymptotic expansions for multi-scale problems
• $C^1$ Approximation of Vector Fields Based on the Renormalization Group Method
• The Use of an lnvariance Condition in the Solution of Multiple‐Scale Singular Perturbation Problems: Ordinary Differential Equations
• A Uniformly‐Valid Asymptotic Solution to a Matrix System of Ordinary Differential Equations and a Proof of its Validity
• The renormalization group and the implicit function theorem for amplitude equations
• Perturbations of nonlinear systems of differential equations

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