This paper gives asymptotic properties of some numerical integral formulas, these formulas include rectangle rule, trapezoid rule and parabolic rule.

In order to make clear how the longitudinal defects affect a long bone, a mechanical model of a femur mid-diaphysis with a rectangular defect in the exterior cortex is developed.

In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.