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Confluent Form of the Multistep ɛ‐Algorithm, and the Relevant Integrable System
Author(s) -
Brezinski Claude,
He Yi,
Hu XingBiao,
Sun JianQing,
Tam HonWah
Publication year - 2011
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2011.00518.x
Subject(s) - integrable system , algorithm , mathematics , linear multistep method , algebra over a field , pure mathematics , mathematical analysis , differential equation , differential algebraic equation , ordinary differential equation
In this paper, the confluent form of the multistep ɛ ‐algorithm 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 Lotka–Volterra system.