The wave-equation wavefront migration (WWM) is a potentially efficient form of wave equation migration, where the finite-difference stencil is only applied around the leading portion of the wavefront. WWM has the accuracy of wave-equation migration, fewer aliasing and migration artifacts, and can potentially be much faster than the standard reverse-time migration. The potential drawbacks are th...

We present an unconditionally energy stable finite difference scheme for the Modified Phase Field Crystal equation, a generalized damped wave equation for which the usual Phase Field Crystal equation is a special degenerate case. The method is based on a convex splitting of a discrete pseudoenergy and is semi-implicit. The equation at the implicit time level is nonlinear but represents the grad...

One of the major reasons for using feedback is to reduce the sensitivity of systems to (uncertain) plant parameters. In this note, the sensitivity problem is defined for feedback systems with plants described by linear partial differential operators having constant coefficients in a bounded one-dimensional domain. There are also finitely many observation points (and also finitely many lumped fe...

The linearly damped oscillator equation is considered with the damping term generalized to a Caputo fractional derivative. The order of the derivative being considered is 0 ≤ v ≤ 1. At the lower end v 0 the equation represents an undamped oscillator and at the upper end v 1 the ordinary linearly damped oscillator equation is recovered. A solution is found analytically, and a comparison with the...