Codes for Boundary-Value Problems in Ordinary Differential Equations [electronic resource] : Proceedings of a Working Conference, May 14-17, 1978 / edited by B. Childs, M. Scott, J. W. Daniel, E. Denman, P. Nelson.

A road map of methods for approximating solutions of two-point boundary-value problems -- Initial value integrators in BVP codes -- Nonlinear equation solvers in boundary value problem codes -- Pasva3: An adaptive finite difference fortran program for first order nonlinear, ordinary boundary problems -- Computation of Kármán swirling flows -- The solution of second order problems with a symbolic-numeric method -- Superposition, orthonormalization, quasilinearization and two-point boundary-value problems -- The development of the boundary-value codes in the ordinary differential equations chapter of the NAG library -- An analysis of the stabilized march -- Initial-value problem integration for shooting methods -- Workshop: Selection of shooting points -- Colsys—A collocation code for boundary-value problems -- QUASII — A system identification code -- Computational methods in hydrodynamic stability: Hydropack -- Demonstration of working codes -- Projection methods -- Mesh selection methods -- Finite element mesh refinement algorithm using element residuals -- C0 — Collocation — Galerkin methods -- An extrapolation method based on solving a sequence of collocation problems -- Workshop on basis selection -- Mesh selection for boundary-value codes -- Automatic solution of Sturm-Liouville eigenvalue problems -- A subroutine for solving a system of differential equations in Chebyshev series -- On the implementation of a method for the estimation of global errors -- An overview of invariant imbedding algorithms and two-point boundary-value problems -- Calculation of eigenvalues of systems of ODE's using the Riccati transformation -- Implementation of an iterative technique for the solution of generalized Emden-Fowler eigenproblems -- Test examples for comparison of codes for nonlinear boundary value problems in ordinary differential equations -- Finite deformations of circular arches -- A severe test problem for two-point boundary value routines -- Computer codes and optimal control theory -- Workshop on benchmark problems and code availability.