Cheng, M.Rutenberg, A. D.2013-06-192013-06-192005-11Cheng, M., and A. D. Rutenberg. 2005. "Maximally fast coarsening algorithms." Physical review.E, Statistical, nonlinear, and soft matter physics 72(5 Pt 2): 055701.1539-3755http://hdl.handle.net/10222/24829We present maximally fast numerical algorithms for conserved coarsening systems that are stable and accurate with a growing natural time step Deltat=At2/3s. We compare the scaling structure obtained from our maximally fast conserved systems directly against the standard fixed time-step Euler algorithm, and find that the error scales as square root of A--so arbitrary accuracy can be achieved. For nonconserved systems, only effectively finite time steps are accessible for similar unconditionally stable algorithms.Check Language Codearticle7252055701