Enslaved Finite Difference Schemes for Nonlinear Evolution Equations
Abstract
A method is presented, applicable to any finite-difference scheme,
that effectively increases the spatial resolution of the given
algorithm without changing its temporal stability or memory
requirements. The procedure produces a more computationally efficient
algorithm provided the time derivatives are not part of the principal
balance of terms in the underlying evolution equation. In some settings
the method eliminates any nonphysical oscillations present in the
numerical solution. Applications to geophysical flows are given.
