Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

In this paper, we discuss the mixed discontinuous Galerkin (DG) finite element approximation to linear parabolic optimal control problems. For the state variables and the co-state variables, the ...

Logarithmic convexity type continuous dependence results for discrete harmonic functions defined as solutions of the standard $C^0$ piecewise-linear approximation to Laplace's equation are proved.