dorsal/arxiv
View SchemaDiscrete soliton equations and convergence acceleration algorithms
| Authors | Atsushi Nagai, Junkichi Satsuma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9511001 |
| URL | https://arxiv.org/abs/solv-int/9511001 |
| DOI | 10.1016/0375-9601(95)00865-9 |
Abstract
Some of the well-known convergence acceleration algorithms, when viewed as two-variable difference equations, are equivalent to discrete soliton equations. It is shown that the $\eta-$algorithm is nothing but the discrete KdV equation. In addition, one generalized version of the $\rho-$algorithm is considered to be integrable discretization of the cylindrical KdV equation.
{
"annotation_id": "b743548c-971c-4c06-9ff9-2a7335d25ffb",
"date_created": "2026-03-02T18:02:51.150000Z",
"date_modified": "2026-03-02T18:02:51.150000Z",
"file_hash": "52208d5eb813cdcfe7caa6a5e2bd3b817986124a1b7eb264fc13584f50e28033",
"private": false,
"record": {
"abstract": "Some of the well-known convergence acceleration algorithms, when viewed as\ntwo-variable difference equations, are equivalent to discrete soliton\nequations. It is shown that the $\\eta-$algorithm is nothing but the discrete\nKdV equation. In addition, one generalized version of the $\\rho-$algorithm is\nconsidered to be integrable discretization of the cylindrical KdV equation.",
"arxiv_id": "solv-int/9511001",
"authors": [
"Atsushi Nagai",
"Junkichi Satsuma"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/0375-9601(95)00865-9",
"title": "Discrete soliton equations and convergence acceleration algorithms",
"url": "https://arxiv.org/abs/solv-int/9511001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bf1c9f08-2103-4674-a809-708f1a3c1930",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}