A PETSc Parallel BVP Code

Solutions to ordinary differential equations with boundary conditions (BVPs) are often approximated by a numerical method. Typically, this method involves setting up a large system of nonlinear equations for which the unknowns are discrete numerical approximations of the solution to the BVP. This nonlinear system has the potential to be large. Therefore, routines that parallelize both the generation and solution of the nonlinear system could reduce the overall computational time. This report describes a BVP code called PETSc BVP that contains parallel implementations of both of these routines. The parallel scientific toolbox PETSc is used to create the code. The report also describes the results of several numerical experiments used to show that for certain problems, a reduction of overall computational time is achieved when multiple processors are used to solve the problem.