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ADVANCES IN COMPUTERS VOL 3.

By: Alt, Franz L.
Contributor(s): Rubinoff, Morris.
Material type: TextTextSeries: eBooks on Demand.Advances in Computers: Publisher: Burlington : Elsevier Science, 2014Description: 1 online resource (376 p.).ISBN: 9780080566351.Subject(s): Computers -- Periodicals | Computers | Electronic data processing -- Periodicals | Electronic data processingGenre/Form: Electronic books.Additional physical formats: Print version:: ADVANCES IN COMPUTERS VOL 3DDC classification: 004 Online resources: Click here to view this ebook.
Contents:
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 Multiprogramming5. 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 Variants19. 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 CommutativityBibliography; 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
Summary: ADVANCES IN COMPUTERS VOL 3
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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 Multiprogramming5. 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 Variants19. 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 CommutativityBibliography; 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

ADVANCES IN COMPUTERS VOL 3

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