Codes for Boundary-Value Problems in Ordinary Differential Equations

Inhaltsverzeichnis

• 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 boundaryvalue 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.