We study the application of Runge-Kutta schemes to Hamiltonian systems of ordinary differential equations. We investigate which schemes possess the canonical property of the Hamiltonian flow. We alsoâ€¦ (More)

The generation of three-dimensional ( 3 0 ) images and map building are essential components in the development of an autonomous underwater system. Although the direct generution of 3 -0 images isâ€¦ (More)

The extremality principle is one of the commonly used problem solving strategies. It involves looking at the extremal cases of a problem in order to obtain insight about the general structure. Thoughâ€¦ (More)

Problem solving is the focus of any algorithm design course. Being able to construct counterexamples is a critical part of the problem solving process. We address the following question: Is there aâ€¦ (More)

The query-model or decision-tree model is a computational model in which the algorithm has to solve a given problem by making a sequence of queries which have 'Yes' or 'No' answers. A large class ofâ€¦ (More)