Confluent Form of the Multistep ɛ‐Algorithm, and the Relevant Integrable System | Zendy

Brezinski Claude | Zendy; He Yi | Zendy; Hu XingBiao | Zendy; Sun JianQing | Zendy; Tam HonWah | Zendy

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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.

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