NANAMATH-PHMPMay 16, 2011

Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation

arXiv:1105.302229 citationsh-index: 32
Originality Synthesis-oriented
AI Analysis

It provides a new convergence acceleration algorithm for numerical sequences, but the impact is limited to specific cases and the improvement is not quantified.

The paper derives the molecule solution of an equation related to the lattice Boussinesq equation and shows it can accelerate convergence for certain sequences, with numerical examples demonstrating its effectiveness.

The molecule solution of an equation related to the lattice Boussinesq equation is derived with the help of determinantal identities. It is shown that this equation can for certain sequences be used as a numerical convergence acceleration algorithm. Numerical examples with applications of this algorithm are presented.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

Your Notes