3 papers
cond-mat.stat-mech2000
Renormalization group and perfect operators for stochastic differential equations
Qing Hou, Nigel Goldenfeld, Alan McKane
We develop renormalization group methods for solving partial and stochastic differential equations on coarse meshes. Renormalization group transformations are used to calculate the…
patt-sol1998
Dynamical Scaling Behavior of the Swift-Hohenberg Equation Following a Quench to the Modulated State
Qing Hou, Shin-ichi Sasa, Nigel Goldenfeld
We study the kinetics of phase transitions in a Rayleigh-Benard system after onset of convection using 2D Swift-Hohenberg equation. An initially uniform state evolves to one whose…
cond-mat.stat-mech1998
Block Spins for Partial Differential Equations
Nigel Goldenfeld, Alan McKane, Qing Hou
We investigate the use of renormalisation group methods to solve partial differential equations (PDEs) numerically. Our approach focuses on coarse-graining the underlying continuum…