Abstract— A common approach to designing feedback controllers for nonlinear partial differential equations (PDEs) is to linearize the system about an equilibrium and use the line...
We derive energy-norm a posteriori error bounds for an Euler timestepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For acc...
Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virta...
It is well known that the performance of a parallel discreteevent simulation (PDES) depends on the allocation of the workload to processors. In particular, poor performance may be...
We variationally derive a thermodynamically consistent model for surface evolution under the influence of free adatoms. The resulting system of nonlinear partial differential equat...
This paper is the second part of a pair of papers, which together present a direct adaptive controller for discretetime systems that are possibly nonminimum phase.