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