Advances in Computers
Academic Press
Published on 1. January 1962
360 pages
978-0-08-056635-1 (ISBN)
Description
Advances in Computers
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F. L. Alt | M. Rubinoff
Advances in Computers: v. 3
Book
11/1962
Academic Press
€75.52
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Content
- Front Cover
- Advances in Coumpters, Volume 3
- Copyright Page
- Contents
- Contributors to Volume 3
- Preface
- Contents of Volumes 1 and 2
- Chapter 1. The Computation of Satellite Orbit Trajectories
- 1. The Problems Posed by Artificial Satellites
- 2. The Equations of Motion
- 3. Methods of Integration
- 4. General Perturbation Methods
- 5. Accuracy Tests for Integration Programs
- 6. Orbit Determination and Tracking Methods
- 7. Organization of a Tracking and Prediction Program
- Bibliography
- Chapter 2. Multiprogramming
- 1. Introduction
- 2. Early Contributions
- 3. Current Scope of Multiprogramming
- 4. Batch Multiprogramming
- 5. The Optimizing Problem
- 6. Multiprogramming with Two or More Processing Units
- 7. Concluding Remarks
- 8. Acknowledgments
- Bibliography
- Chapter 3. Recent Developments in Nonlinear Programming
- 1. Introduction
- 2. Differential Gradient Methods
- 3. Large-Step Gradient Methods
- 4. Simplicial Methods
- 5. Columnar Procedures
- 6. The Cutting-plane Method
- 7. Initiating an Algorithm
- 8. Computer Routines and Literature
- Bibliography
- Chapter 4. Alternating Direction Implicit Methods
- Introduction
- 1. General Remarks
- 2. The Matrix Problem
- 3. Basic ADI Operators
- Part I: Stationary ADI Methods (Case m=1)
- 4. Error Reduction Matrix
- 5. Norm Reduction
- 6. Application
- 7. Optimum Parameters
- 8. The Function F
- 9. Helmholtz Equation in a Rectangle
- 10. Monotonicity Principle
- 11. Crude Upper Bound
- 12. Eigenvalues of H,V
- Part II: Communicative Case
- 13. Introduction
- 14. Problems Leading to Communicative Matrices
- 15. The Peaceman-Rachford Method
- 16. Methods for Selecting Iteration Parameters for the Peacenian- Rachford Method
- 17. The Douglas-Rachford Method
- 18. Applications to the Helmholtz Equation
- Part III: Comparison with Successive Overrelaxation Variants
- 19. The Point SOR Method
- 20. Helmholtz Equation in a Square
- 21. Block and Multiline SOR Variants
- 22. Analogies of ADI with SOR
- Part IV: Numerical Experiments
- 23. Introduction
- 24. Experiments with the Dirichlet Problem
- 25. Analysis of Results
- 26. Conclusions
- 27. Experiments Comparing SOR Variants with ADI Variants
- Appendix A: The Minimax Problem for One Parameter
- Appendix B: The Minimax Problem for m & 1 Parameters
- Appendix C : Nonuniform Mesh Spacings and Mixed Boundary Condition
- Appendix D: Necessary Conditions for Commutativity
- Bibliography
- Chapter 5. Combined Analog-Digital Techniques in Simulation
- 1. Comparison of Analog and Digital Computers in Simulation
- 2. Interconnected Analog and Digital Computers
- 3. Example of a Combined Solution
- 4. Analog-Digital Arithmetic in a Digital Computer
- 5. Systems Using Analog-Digital Variables
- Bibliography
- Chapter 6. Information Technology and the law
- 1. Introduction
- 2. Information Growth
- 3. Mechanization in Lam Practice
- 4. Applications of Symbolic Logic to Law
- 5. Information Storage and Retrieval
- 6. Punched Cards and Notched Cards
- 7. Prediction of Court Decisions
- 8. Thinking Machines
- 9. The Law of Computers
- 10. Use of Computers in Court
- 11. New Horizons
- Bibliography
- Exhibit "A"
- Author Index
- Subject Index
