Codes for Boundary-Value Problems in Ordinary Differential Equations: Proceedings of a Working Conference, May 14-17, 1978 (Lecture Notes in Computer Science, 76, Band 76) - Softcover

Childs, B.; Scott, M.; Nelson, P.; Denman, E.; Daniel, J. W.

Softcover

ISBN 10: 3540095543 ISBN 13: 9783540095545

Verlag: Springer, 2008

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 3540095543
• ISBN 13: 9783540095545
• Einband: Taschenbuch
• Anzahl der Seiten: 400
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