I. Conditioning dichotomy and related numerical considerations. - A unified view of some recent developments in the numerical solution of BVODEs. - The role of conditioning in shooting techniques. - On non-invertible boundary value problems. - Riccati transformations: When and how to use?. - Discretizations with dichotomic stability for two-point boundary value problems. - II. Implementation aspects of various methods. - Improving the performance of numerical methods for two-point boundary value problems. - Reducing the number of variational equations in the implementation of multiple shooting. - The spline-collocation and the spline-Galerkin methods for Orr-Sommerfeld problem. - III. Singular perturbation (stiff') problems. - On the simultaneous use of asymptotic and numerical methods to solve nonlinear two-points problems with boundary and interior layers. - Two families of symmetric difference schemes for singular perturbation problems. - A numerical method for singular perturbation problems with turning points. - Numerical solution of singular perturbed boundary value problems using a collocation method with tension splines. - IV. Bifurcation problems and delay differential equations. - Solving boundary value problems for functional differential equations by collocation. - The approximation of simple singularities. - Calculating the loss of stability by transient methods with application to parabolic partial differential equations. - A Runge-Kutta-Nystrom method for delay differential equations. - V. Special applications. - A finite difference method for the basic stationary semiconductor device equations. - Solution of premixed and counterflow diffusion flame problems by adaptive boundary value methods. Language: English