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Stiff Differential Systems Edited written by Ralph Willoughby.
Numerical Analysis research relative to topics such as stiff systems is concerned with finding, understanding, and providing reliable algorithms for well posed problems which are a priori expressed in certain canonical forms. This is quite proper since without this this type of discipline, the computing field and problem solvers would be forced to depend on a large number of unrelated ad hoc devices and schemes whose reliability and limits of applicability are unknown.
Book Detail :-
Title: Stiff Differential Systems Edited
Author(s): Ralph A. Willoughby
Publisher: New Age International
About Author :-
The author Ralph Willoughby, Mathematical Sciences Department, IBM T. J. Watson Research Center, Yorktown Heights, New York
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• Download PDF Numerical Analysis, 3E by G. Shanker Rao
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Book Contents :-
Stiff Differential Systems Edited written by Ralph Willoughby cover the following topics. '
International Symposium on Stiff Differential Systems: Introduction by Ralph A. Willough
Composite Multistep Methods and Stiff Stability by Theodore A. Bickart and William B. Rubin
Numerical A-Stability for Difference-Differential Systems by R. K. Brayton
Computation of Real-Time-Control in Aerospace Applications by Multiple Shooting Procedures: Extended Abstract by R. Bulirsch and H.-W. Branca
Simulation of Chemical Kinetics Transport in the Stra tosphere by J. S. Chang, A. C. Hindmarsh, and N. K. Madsen
The Sets of Smooth Solutions of Differential and Difference Equations by Germund Dahlquist
Integration Package for Chemical Kinetics by Lennart Edsberg
Optimal Second Derivative Methods for Stiff Systems by W. H. Enright
The Stability of Automatic Programs for Numerical Problems by C. W. Gear, K. W. Tu, and D. S. Watanabe
An Implementation of Gear's Algorithm for CSMP III by A. R. Gourlay and H. D. D. Watson
A Pseudodynamic Method for Solving Nonlinear Algebraic Equations by G. Hachtel and M. Mack
The Validation and Comparison of Programs for Stiff Systems by T. E. Hull
Numerical Solution of Singular Perturbation Frob lems by Heinz-Otto Kreiss
Two Unconventional Classes of Methods for Stiff Systems by J. D. Lambert
The Occurrence and Numerical Solution of Physical and Chemical Systems Having Widely Varying Time Constants by L. Lapidus, R. C. Aiken, and Y. A. Liu
A Stiff System Package Based on the Implicit Midpoint Method with Smoothing and Extrapolation by Bengt Lindberg
Construction of a Family of Second Order A-Stable K-Step Formulas Depending on the Maximum Number, 2K-2, of Parameters by Werner Liniger and Thierry Gagnebin
Stiffness and Accuracy in the Method of Lines Integration of Partial Differential Equations by A. M. Loeb and W. E. Schiesser
Economical Global Error Estimation by Hans J. Stetter
Consistency and Stability for One-Step Discretizations of Stiff Differential Equations by M. van Veldhuizen
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