Boundary Value Problems and Solvers for ODEs
J. Guckenheimer (Math, Cornell)

Initial value solvers for systems of ordinary differential equations are extensively used in computational science. They can be employed to solve boundary value problems with "simple" shooting, but there are circumstances in which this strategy fails and different methods are required for solving boundary value problems. In contrast to initial value solvers, boundary value solvers are less robust and frequently fail to give an answer at all. This lecture will present examples and discuss a few boundary value solvers, including ones that I have developed over the past fifteen years.