Stiff Differential Systems

ISBN-13: 9781468421026 / Angielski / Miękka / 2012 / 324 str.

Ralph Willoughby

Opis

The papers in these proceedings were presented at an Inter- national Symposium on Stiff Differential Systems, which was held at the Hotel Quellenhof, Wildbad, Federal Republic of Germany, October 4-6, 1973. The sumposium was organized by IBM Germany and sponsored by the IBM World Trade Corporation. On behalf of all the participants we wish to express our appreciation to the sponsors and organizers for their generous support, particularly to Dr. G. HUbner, representing Scientific Relations, IBM Germany, and Dr. G. Kozak, representing IBM World Trade Headquarters, New York. The purpose of the conference was to provide an intensive treatment of all apsects of a difficult problem class, stiff differential systems. Some major fields of interest of attendees and contributors are: 1) Modeling and problem solving in scien- tific and technological applications, 2) Qualitative theory of stiff systems, 3) Numerical Analysis, including design, valida- tion, and comparison of algorithms, as well as error and stability analysis, and 4) Computer Science, in particular problem-oriented programming languages, program packages, and applications-oriented computer architecture.

Spis treści

International Symposium on Stiff Differential Systems: Introduction.- Composite Multistep Methods and Stiff Stability.- Numerical A-Stability for Difference-Differential Systems.- Computation of Real-Time-Control in Aerospace Applications by Multiple Shooting Procedures: Extended Abstract.- Simulation of Chemical Kinetics Transport in the Stratosphere.- The Sets of Smooth Solutions of Differential and Difference Equations.- Integration Package for Chemical Kinetics.- Optimal Second Derivative Methods for Stiff Systems.- The Stability of Automatic Programs for Numerical Problems.- An Implementation of Gear’s Algorithm for CSMP III.- A Pseudodynamic Method for Solving Nonlinear Algebraic Equations.- The Validation and Comparison of Programs for Stiff Systems.- Numerical Solution of Singular Perturbation Problems.- Two Unconventional Classes of Methods for Stiff Systems.- The Occurrence and Numerical Solution of Physical and Chemical Systems Having Widely Varying Time Constants.- A Stiff System Package Based on the Implicit Midpoint Method with Smoothing and Extrapolation.- Construction of a Family of Second Order A-Stable K-Step Formulas Depending on the Maximum Number, 2K-2, of Parameters.- Stiffness and Accuracy in the Method of Lines Integration of Partial Differential Equations.- Economical Global Error Estimation.- Consistency and Stability for One-Step Discretizations of Stiff Differential Equations.- Author List.- Index for Papers and Bibliography.