Convergence acceleration algorithms related to a generalized E-transformation and its particular cases

DOI10.1007/s13160-013-0102-8zbMath1268.65001OpenAlexW2138118404MaRDI QIDQ351455

Xing-Biao Hu, Satoshi Tsujimoto, Yi He, Hon-Wah Tam

Publication date: 11 July 2013

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-013-0102-8

zbMATH Keywords

\(\epsilon\)-algorithmE-transformationG-algorithmqd-algorithmrs-algorithm

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Extrapolation to the limit, deferred corrections (65B05)

Related Items

Multistep $𝜖$–algorithm, Shanks’ transformation, and the Lotka–Volterra system by Hirota’s method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sequences of transformations and triangular recursion schemes, with applications in numerical analysis
• Sequence transformations and their applications
• A general extrapolation algorithm
• Extrapolation methods theory and practice
• Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialfällen
• Lower estimates for the error of best uniform approximation
• Projection methods for systems of equations
• Extrapolation algorithms and Padé approximations: A historical survey
• An Algorithm for a Generalization of the Richardson Extrapolation Process
• Generalized neville type extrapolation schemes
• Practical Extrapolation Methods
• Nonlinear Transformations Related to the Evaluation of Improper Integrals. I
• Higher OrderG-Transformation
• On a Device for Computing the e m (S n ) Transformation
• Convergence acceleration during the 20th century