Codes for Boundary-Value Problems in Ordinary Differential Equations: Proceedings of a Working Conference, May 14-17, 1978

ISBN-13: 9783540095545 / Angielski / Miękka / 1979 / 390 str.

B. Childs; M. Scott; J. W. Daniel

Opis

Conceptually, a database consists of objects and relationships. Object Relationship Notation (ORN) is a simple notation that more precisely defines relationships by combining UML multiplicities with uniquely defined referential actions. Object Relationship Notation (ORN) for Database Applications: Enhancing the Modeling and Implementation of Associations shows how ORN can be used in UML class diagrams & database definition languages (DDLs) to better model & implement relationships & thus more productively develop database applications. For the database developer, it presents many examples of relationships modeled using ORN-extended class diagrams & shows how these relationships are easily mapped to an ORN-extended SQL or Object DDL. For the DBMS developer, it presents the specifications & algorithms needed to implement ORN in a relational and object DBMS. This book also describes tools that can be downloaded or accessed via the Web. These tools allow databases to be modeled using ORN and implemented using automatic code generation that adds ORN support to Microsoft SQL Server and Progress Object Store.

Spis treści

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.