Stiff Differential Systems

Abstract

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.