Author(s): Douglas R. Hartree
Publisher: Urbana
Year: 1949
Cover
Title page
Preface
1. INTRODUCTION
2. THE DIFFERENTIAL ANALYSER
2.1. The Nature of the Problem of Instrumental Solution of DifferentiaI Equations
2.2. Integrating Mechanisms
2.3. The General Idea of the DifferentiaI Analyser
2.4. General Structure of the Earlier Forms of DifferentiaI Analyser
2.5. A New Differential Analyser
2.6. Using the Differential Analyser
2.7. Regenerative Connections
2.8. Automatic Generation of Any Function
2.9. Other Forms of Differential Analyser
2.10. Boundary Conditions in Numerical and Mechanical Integration of Differential Equations
2.11. Applications
3. THE DIFFERENTIAL ANALYSER AND PARTIAL DIFFERENTIAL EQUATIONS
3.1. Introduction
3.2. Replacement of the t-Derivative by a Finite Difference
3.3. Replacement of the x-Derivative by Finite Differences
3.4. Discussion of the Two Methods
3.5. Examples of Application ta Equations of "Parabolic" Type
3.6. Hyperbolic Equations
3.7. Use of "Characteristics"
3.8. Another Application of Characteristics
4. SOME OTHER INSTRUMENTS
4.1. Introduction
4.2. Solution of Simultaneous Linear Algebraic Equations
4.3. The Isograph
4.4. Fourier Synthesisers
4.5. Integrating Instruments
4.6. Directors
5. INTRODUCTION TO LARGE AUTOMATIC DIGITAL MACHINES
5.1. Historical
5.2. Structure and Function in Calculating lVIacl1ines
5.3. Functions to Be Provided in an Automatic Digital Machine
5.4. Representation of Numbers in the Machine
5.5. Arithmetical Operations
5.6. Serial (Suceessive) and Parallel (Simultaneous) Operations
5.7. Static and Dynamic Storage
5.8. Control and the Form of the Operating Instructions
6. CHARLES BABBAGE AND THE ANALYTICAL ENGINE
6.1. Babbage's Calculating Engines
6.2. Babbage's Analytical Engine
6.3. Control in the Analytical Engine
6.4. Organization of Calculations for the Analytical Engine
7. THE FIRST STAGE OF DEVELOPMENT
7.1. The Harvard Mark l Calculator
7.2. Control in the Harvard Mark 1 Machine
7.3. Relay Machines
7.4. The Eniac
7.5. Control in the Eniac
7.6. Centralised Control System of the Eniac
7.7. The I.B.M. Selective Sequence Electronic Calculator
7.8. An Application of the Eniac
7.9. The "Machine's-Eye View" in Programming a Calculation
8. PROJECTS AND PROSPECTS
8.1. The Main Directions of Development
8.2. Storage Systems
8.3. Serial Machines Using Delay-Line Storage
8.4. Functional Analysis of Serial Machines
8.5. Arithmetical Operation
8.6. Control
8.7. Parallel Machines
8.8. Other Types of Machine
8.9. Programming ancl Coding
9. HIGH-SPEED AUTOMATIC DIGITAL MACHINES AND NUMERICAL ANALYSIS
9.1. Introduction
9.2. Iterative Methods
9.3. Simultaneous Algebraic Equations
9.4. Solution of Ordinary Differential Equations
9.5. Solution of Ordinary Differential Equations with One-Point Boundary Conditions
9.6. Solution of Ordinary Differential Equations with Two-Point Boundary Conditions
9.7. Partial DifferentiaI Equations
REFERENCES
NAME INDEX
SUBJECT INDEX
