Application of the method of lines to the solution of elliptic partial differential equations

The method of lines is used in this report for solving one linear, two nonlinear elliptic boundary value problems and a linear eigenvalue problem. An analysis of the stability and convergence is made in the linear cases.

A numerical determination of the bow shock wave in transonic axisymetric flow about blunt bodies

A numerical method is developed for calculating axisymmetric transonic (M > 1) flow about a blunt body. The bow shock wave location is of particular interest. A Rankine Hugoniot jump is applied at the shock while relaxation on the isentropic equation of motion is used between shock and body. The shock wave is adjusted by a Newton type iteration...