461 citations · 979 across the 6 of their papers we have counts for
6 papers
The Renormalization Group and Singular Perturbations: Multiple-Scales, Boundary Layers and Reductive Perturbation Theory
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
Perturbative renormalization group theory is developed as a unified tool for global asymptotic analysis. With numerous examples, we illustrate its application to ordinary different…
Numerical Renormalization Group Calculations For Similarity Solutions and Travelling Waves
Lin-Yuan Chen, Nigel Goldenfeld
We present a numerical implementation of the renormalization group (RG) for partial differential equations, constructing similarity solutions and travelling waves. We show that for…
Renormalization Group Theory for Global Asymptotic Analysis
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
We show with several examples that renormalization group (RG) theory can be used to understand singular and reductive perturbation methods in a unified fashion. Amplitude equations…
Renormalization Group Theory And Variational Calculations For Propagating Fronts
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
We study the propagation of uniformly translating fronts into a linearly unstable state, both analytically and numerically. We introduce a perturbative renormalization group (RG) a…
Selection, Stability and Renormalization
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono +1
We illustrate how to extend the concept of structural stability through applying it to the front propagation speed selection problem. This consideration leads us to a renormalizati…
Structural Stability and Renormalization Group for Propagating Fronts
G. C. Paquette, Lin-Yuan Chen, Nigel Goldenfeld +1
A solution to a given equation is structurally stable if it suffers only an infinitesimal change when the equation (not the solution) is perturbed infinitesimally. We have found th…