Codes for Boundary-Value Problems in Ordinary Differential Equations

Anglický jazyk

Codes for Boundary-Value Problems in Ordinary Differential Equations

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O knihe

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 K¿¿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.