Parallel shooting with error estimate for increasing the accuracy

The paper is concerned with two-point boundary value problems for ordinary differential equations and some estimates of the global discretization error produced in the numerical solution by shooting methods. These error estimates, proposed in some previous papers, are shown to be useful for correcting the numerical results as they do not require much additional effort in computations both for linear and nonlinear problems. Special attention is devoted to the use of some new boundary value methods. Applications to known test problems are developed.