Numerical Renormalization Group Calculations For Similarity Solutions   and Travelling Waves
  We present a numerical implementation of the renormalization group (RG) for partial differential equations, constructing similarity solutions and travelling waves. We show that for a large class of well-localized initial conditions, successive iterations of an appropriately defined discrete RG transformation in space and time will drive the system towards a fixed point. This corresponds to a scale-invariant solution, such as a similarity or travelling-wave solution, which governs the long-time asymptotic behavior. We demonstrate that the numerical RG method is computationally very efficient. 
Lin-Yuan Chen(Institute for Theoretical Physics, Santa Barbara), Nigel   Goldenfeld(Department of Physics, University of Ill...