Advances in Computers
Academic Press
Published on 1. January 1961
433 pages
978-0-08-056634-4 (ISBN)
Description
Advances in Computers
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F. L. Alt | M. Rubinoff
Advances in Computers: v. 2
Book
12/1961
Academic Press
€75.52
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Content
- Front Cover
- Advances in Computers, Volume 2
- Copyright Page
- Contents
- Contributors to Volume 2
- Preface
- Contents of Volume 1
- Chapter 1. A Survey of Numerical Methods for Parabolic Differential Equations
- 1. Introduction
- 2. Preliminaries
- 3. Explicit Difference Equations
- 4. The Backward Difference Equation
- 5. The Crank-Nicolson Difference Equation
- 6. An Unconditionally Unstable Difference Equation
- 7. Higher Order Correct Difference Equations
- 8. Comparison of the Calculation Requirements
- 9. Several Space Variables
- 10. Alternating-Direction Methods
- 11. Abstract Stability Analysis
- 12. The Energy Method
- 13. Stefan Problem
- 14. Parabolic Systems
- 15. Integro-Differential Equations
- 16. Extrapolation to the Limit
- References
- Chapter 2. Advances in Orthonormalizing Computation
- PART I: THEORETICAL
- 1. Introduction
- 2. The Geometry of Least Squares
- 3. Inner Products Useful in Numerical Analysis
- 4. The Computation of Inner Products
- 5. Methods of Orthogonakation
- 6. Tables of Orthogonal Polynomials and Related Quantities
- 7. Least Square Approximation of Functions
- 8. Overdetermined Systems of Linear Equations
- 9. Least Square Methods for Ordinary Differential Equations
- 10. Linear Partial Differential Equations of Elliptic Type
- 11. Complete Systems of Particular Solutions
- 12. Error Bounds
- Degree of Convergence
- 13. Collocation and Interpolatory Methods and Their Relation to Least Squares
- 14. Conformal Mapping
- 15. Quadratic Functionals Related to Boundary Value Problems
- PART II: NUMERICAL
- 16. Orthogonalization Codes and Computations
- 17. Numerical Experiments in the Solution of Boundary Value Problems Using the Method of Orthonormalized Particular Solutions
- 18. Comments on the Numerical Experiments
- 19. The Art of Orthonormalization
- 20. Conclusions
- References
- Chapter 3. Microelectronics Using Electron-Beam-Activated Machining Techniques
- 1. Introduction
- 2. Research Plan
- 3. Microelectronic Component Considerations
- 4. Tunnel Effect Components
- 5. Accessory Components
- 6. Component Interconnection
- 7. Substrate Preparation
- 8. Material Deposition
- 9. Material Etching
- 10. Resist Production
- 11. Electron Optical System
- 12. High-Vacuum Apparatus
- 13. Electron Microscope Installation
- 14. Demonstration of Micromachining
- 15. Summary
- References
- Chapter 4. Recent Developments in Linear Programming
- 1. Decomposition Algorithm
- 2. Integer Linear Programming
- 3. The Multiplex Method
- 4. Gradient Method of Feasible Directions
- 5. Linear Programming Applications
- 6. Summary of Progress in Related Fields
- 7. Linear Programming Computing Codes and Procedures
- 8. Scemp
- 9. Linear Programming in Other Countries
- References
- Chapter 5. The Theory of Automata, a Survey
- 1. Introduction
- 2. Finite Automata
- 3. Probabilistic Automata
- 4. Behavioral Descriptions
- 5. Various Concepts of Growing Automata
- 6. Operations by Finite and Growing Automata, Real-Time and General
- 7. Automation Recognition
- 8. Imitation of Life-Like Processes by Automata
- References
- Author Index
- Subject Index
