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 Method13. 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 Type11. 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.

2. Integer Linear Programming3. 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.