We present and analyze a second order in time variable step BDF2 numerical scheme for the Cahn-Hilliard equation. The construction relies on a second order backward difference, convex-splitting ...

The ODE subroutine is an adaptive, variable order, variable step-size, stiff integrator based on implicit backward-difference methods. Refer to Aiken (1985), Bickart and Picel (1973), Donelson and ...

Techniques for analyzing periodic finite difference methods including von Neumann, energy and CFL / domain of dependence techniques. Finite difference methods for parabolic problems in one space ...