Appendix A

Convergence Acceleration

*More than any other branch of
numerical analysis,
convergence acceleration is an experimental science.
The researcher applies the algorithm
and looks at the results to assess their worth.*

―from p. 230

A.1 The Numerical Use of Sequences and Series · A.2 Avoiding Extrapolation · A.3 An Example of Convergence Acceleration · A.4 A Selection of Extrapolation Methods · A.5 Practical Issues

Code

- Implementation (runs
with Matlab
*and*Octave)*(Includes the code that generates all the tables.)*

Other Material

- Carl DeVore's
solution of Problem 3
*(Maple worksheet, courtesy of Carl DeVore)*

This is a web page for the book:

Folkmar Bornemann, Dirk
Laurie, Stan Wagon, Jörg Waldvogel: *The SIAM 100-Digit Challenge, A Study in
High-Accuracy Numerical Computing*. Society of Industrial and Applied
Mathematics (SIAM), Philadelphia, 2004.

last modified: 05/25/04 17:03 +0200 (FB)