percube Box Scheme Recursive Doubling Extrapolation Eulers Scheme Graggs Method Method of Lines

This talk will be divided to three parts In the rst part we discuss the solution of linear ordinary dierential systems of equations Initial value as well as boundary value problems will be considered The second part will cover nonlinear ordinary dierential systems In this case the algorithm is based on extrapolation and as such is ecient only on small parallel computers We close with the method of lines and its use to solve partial dierential equations on parallel computer