TY - BOOK AU - Childs,B. AU - Scott,M. AU - Daniel,J.W. AU - Denman,E. AU - Nelson,P. ED - SpringerLink (Online service) TI - Codes for Boundary-Value Problems in Ordinary Differential Equations: Proceedings of a Working Conference May 14–17, 1978 T2 - Lecture Notes in Computer Science, SN - 9783540348580 AV - QA75.5-76.95 U1 - 004 23 PY - 1979/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Computer science KW - Computer Science KW - Computer Science, general N1 - 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 UR - http://dx.doi.org/10.1007/3-540-09554-3 ER -