Fourth‐order accurate one‐step integration methods with large imaginary stability limits | Zendy

Kinnmark Ingemar P. E. | Zendy; Gray William G. | Zendy

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Fourth‐order accurate one‐step integration methods with large imaginary stability limits

Author(s) -

Kinnmark Ingemar P. E.,

Gray William G.

Publication year - 1986

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1690020106

Subject(s) - mathematics , stability (learning theory) , the imaginary , limit (mathematics) , order (exchange) , function (biology) , runge–kutta methods , mathematical analysis , calculus (dental) , differential equation , computer science , medicine , psychology , dentistry , finance , machine learning , evolutionary biology , economics , psychotherapist , biology

One‐step integration methods of fourth‐order accuracy using an odd number of function evaluations K , to solve dy/dt = A · y , are proposed. These methods have an imaginary stability limit \documentclass{article}\pagestyle{empty}\begin{document}$ S_{1\;} = \sqrt {(K - 1)^2 - 4} $\end{document} . In the case K = 5 the Kutta‐Merson method results.

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