Numerical Methods for Differential Systems. Recent Developments in Algorithms, Software, and Applications

Content: 
Front Matter, Page iii
Copyright, Page iv
List of Contributors, Pages vii-viii
Preface, Pages ix-xi, L. Lapidus, W.E. Schiesser
High-Order A-Stable Averaging Algorithms for Stiff Differential Systems, Pages 1-23, W. Liniger
Second Derivative Multistep Formulas Based on g-Splines, Pages 25-38, David R. Hill
Numerical Integration of Linearized Stiff Ordinary Differential Equations, Pages 39-44, R. Leonard Brown
Comparing Numerical Methods for the Solution of Stiff Systems of ODEs Arising in Chemistry, Pages 45-66, W.H. Enright, T.E. Hull
On the Construction of Differential Systems for the Solution of Nonlinear Algebraic and Transcendental Systems of Equations, Pages 67-84, Dominic G.B. Edelen
Differential Procedures for Systems of Implicit Relations and Implicitly Coupled Nonlinear Boundary-Value Problems, Pages 85-95, Dominic G.B. Edelen
Numerical Solution of Large Systems of Stiff Ordinary Differential Equations in a Modular Simulation Framework, Pages 97-124, A.I. Johnson, J.R. Barney
FAST: A Translator for the Solution of Stiff and Nonlinear Differential and Algebraic Equations, Pages 125-146, L.F. Stutzman, F. Deschard, R. Morgan, T. Koup
Applications of EPISODE: An Experimental Package for the Integration of Systems of Ordinary Differential Equations, Pages 147-166, A.C. Hindmarsh, G.D. Byrne
SETKIN: A Chemical Kenetics Preprocessor Code, Pages 167-180, R.P. Dickinson Jr., R.J. Gelinas
Numerical Methods for Mass Action Kinetics, Pages 181-195, Lennart Edsberg
A Systematized Collection of Codes for Solving Two-Point Boundary-Value Problems, Pages 197-227, M.R. Scott, H.A. Watts
General Software for Partial Differential Equations, Pages 229-242, Niel K. Madsen, Richard F. Sincovec
The Choice of Algorithms in Automated Method of Lines Solution of Partial Differential Equations, Pages 243-265, M.B. Carver
Panel Discussion of Quality Software for ODEs, Pages 267-285, G.D. Byrne, C.W. Gear, A.C. Hindmarsh, T.E. Hull, F.T. Krogh, L.F. Shampine
Subject Index, Pages 287-291