Codes for Boundary-Value Problems in Ordinary Differential Equations
Proceedings of a Working Conference, May 14-17, 1978
Published on 1. October 1979
Book
Paperback/Softback
X, 390 pages
978-3-540-09554-5 (ISBN)
Description
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.
More details
Series
Edition
1979 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 390 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 22 mm
Weight
604 gr
ISBN-13
978-3-540-09554-5 (9783540095545)
DOI
10.1007/3-540-09554-3
Schweitzer Classification
Content
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.