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...
Switched dynamical systems have shown great utility in modeling a variety of systems. Unfortunately, the determination of a numerical solution for the optimal control of such syste...
— This paper provides a bound on the number of numeric operations (fixed or floating point) that can safely be performed before accuracy is lost. This work has important implic...
"Mathematical models are an integral part in solving engineering problems. Many times, these mathematical models are derived from engineering and science principles, while at ...