Table of contents for Practical extrapolation methods : their mathematical theory and application / Avram Sidi.

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Preface
Introduction
Part I. The Richardson Extrapolation Process and Its Generalizations: 1. The richardson extrapolation process
2. Additional topics in richardson extrapolation
3. First generalization of the richardson extrapolation process
4. GREP: further generalization of the richardson extrapolation process
5. The d-transformation: a GREP for infinite-range integrals
6. The d-transformation: a GREP for infinite series and sequences
7. Recursive algorithms for GREP
8. Analytic study of GREP (1): slowly varying A(y Œ
F(1)
9. Analytic study of GREP(1): quickly varying A(y Œ
F(1)
10. Efficient use of GREP(1): applications to the D(1)}-, d(1)}-, and d (m)-transformations
11. Reduction of the D-transformation for oscillatory infinite-range integrals: the D-, D-, W-, and mW-transformations
12. Acceleration of convergence of power series by the d-transformation: rational d- approximants
13. Acceleration of convergence of fourier and generalized fourier series by the d-transformation: the complex series approach with APS
14. Special topics in richardson extrapolation
Part II. Sequence Transformations: 15. The euler transformation, aitken D2- process, and lubkin W- transformation
16. The shanks transformation
17. The pade
table
18. Generalizations of pade
 approximants
19. The levin L - and S-transformations
20. The wynn r- and brezinski q-algorithms
21. The g-transformation and its generalizations
22. The transformations of overholt and wimp
23. Confluent transformations
24. Formal theory of sequence transformations
Part III. Further Applications: 25. Further applications of extrapolation methods and sequence transformations
Part IV. Appendices: A. review of basic asymptotics
B. The laplace transform and Watson's lemma
C. The gamma function
D. Bernoulli numbers and polynomials and the Euler-Maclaurin formula
E. The riemann zeta function
F. Some highlights of polynomial approximation theory
G. A compendium of sequence transformations
H. Efficient application of sequence transformations: Summary
I. FORTRAN 77 program for the d(m)-transformation.