In this article we discuss recent work on coarse-graining methods for microscopic stochastic lattice systems. We emphasize the numerical analysis of the schemes, focusing on error ...
A new upper bound is provided for the L-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. T...
Samuel Albert, Bernardo Cockburn, Donald A. French...
We review and compare different computational variational methods applied to a system of fourth order equations that arises as a model of cylinder buckling. We describe both the di...
Phase noise is a topic of theoretical and practical interest in electronic circuits, as well as in other fields such as optics. Although progress has been made in understanding th...
Alper Demir, Amit Mehrotra, Jaijeet S. Roychowdhur...
Standing (solitary)-wave/steady-state solutions in many nonlinear wave motions and Schrodinger flows lead to nonlinear eigenproblems. In [X. Yao and J. Zhou, SIAM J. Sci. Comput., ...