Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- 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) ∊ F(1)
- 9 Analytic Study of GREP(1): Quickly Varying A(y) ∊ F(1)
- 10 Efficient Use of GREP(1): Applications to the D(1)-, d(1)-, and d̃(m)-Transformations
- 11 Reduction of the D-Transformation for Oscillatory Infinite-Range Integrals: The D̅-, D̃-, 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
- II Sequence Transformations
- III Further Applications
- IV Appendices
- Bibliography
- Index
4 - GREP: Further Generalization of the Richardson Extrapolation Process
from I - The Richardson Extrapolation Process and Its Generalizations
Published online by Cambridge University Press: 25 February 2010
Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- 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) ∊ F(1)
- 9 Analytic Study of GREP(1): Quickly Varying A(y) ∊ F(1)
- 10 Efficient Use of GREP(1): Applications to the D(1)-, d(1)-, and d̃(m)-Transformations
- 11 Reduction of the D-Transformation for Oscillatory Infinite-Range Integrals: The D̅-, D̃-, 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
- II Sequence Transformations
- III Further Applications
- IV Appendices
- Bibliography
- Index
- Type
- Chapter
- Information
- Practical Extrapolation MethodsTheory and Applications, pp. 81 - 94Publisher: Cambridge University PressPrint publication year: 2003