Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations. - C. J. Budd; J. F. Williams; Vladimir A. Galaktionov (SIAM J. Appl. Math., 2004)

Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg-Landau Equation. - Chris J. Budd; Vivi Rottschäfer; J. F. Williams (SIAM J. Appl. Dyn. Syst., 2005)

Blow-up and global asymptotics of the limit unstable Cahn-Hilliard equation. - Jonathan D. Evans; Vladimir A. Galaktionov; J. F. Williams (SIAM J. Math. Anal., 2006)

Some Canonical Bifurcations in the Swift-Hohenberg Equation. - L. A. Peletier; J. F. Williams (SIAM J. Appl. Dyn. Syst., 2007)

MOVCOL4: A Moving Mesh Code for Fourth-Order Time-Dependent Partial Differential Equations. - Robert D. Russell; J. F. Williams; X. Xu (SIAM J. Sci. Comput., 2007)

On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional. - Rustum Choksi; Mark A. Peletier; J. F. Williams (SIAM J. Appl. Math., 2009)

Moving Mesh Generation Using the Parabolic Monge–Amp[e-grave]re Equation. - C. J. Budd; J. F. Williams (SIAM J. Sci. Comput., 2009)

A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging. - Michael Chapwanya; Stephen O'Brien; J. F. Williams (J. Comput. Appl. Math., 2010)

Optimal mass transport for higher dimensional adaptive grid generation. - Mohamed H. M. Sulman; J. F. Williams; Robert D. Russell (J. Comput. Phys., 2011)

2D Phase Diagram for Minimizers of a Cahn-Hilliard Functional with Long-Range Interactions. - Rustum Choksi; Mirjana Maras; J. F. Williams (SIAM J. Appl. Dyn. Syst., 2011)

Riemann solver for a kinematic wave traffic model with discontinuous flux. - Jeffrey K. Wiens; John M. Stockie; J. F. Williams (J. Comput. Phys., 2013)

Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg-Landau Problem. - Jan Bouwe van den Berg; Chris M. Groothedde; J. F. Williams (SIAM J. Appl. Dyn. Syst., 2015)

Rigorously Computing Symmetric Stationary States of the Ohta-Kawasaki Problem in Three Dimensions. - Jan Bouwe van den Berg; J. F. Williams (SIAM J. Math. Anal., 2019)