@article {Brezinski:2011:0022-2526:191, title = "Confluent Form of the Multistep Algorithm, and the Relevant Integrable System", journal = "Studies in Applied Mathematics", parent_itemid = "infobike://bpl/sapm", publishercode ="bp", year = "2011", volume = "127", number = "2", publication date ="2011-08-01T00:00:00", pages = "191-209", itemtype = "ARTICLE", issn = "0022-2526", eissn = "1467-9590", url = "https://www.ingentaconnect.com/content/bpl/sapm/2011/00000127/00000002/art00004", doi = "doi:10.1111/j.1467-9590.2011.00518.x", author = "Brezinski, Claude and He, Yi and Hu, XingBiao and Sun, JianQing and Tam, HonWah", abstract = "In this paper, the confluent form of the multistepalgorithm is proposed. The molecule solution of this system is derived by using determinantal identities. A new continuous prediction algorithm based on this confluent form is constructed. It also shows that this algorithm is a special case of the extended LotkaVolterra system.", }