On Runge-Kutta processes of high order

1964/05/01 by J. C. Butcher · 6 citations
Mathematics · #Applied mathematics #Computer science #Differential Equations and Numerical Methods #Differential equation #Economics #Mathematical analysis #Mathematics #Numerical methods for differential equations #Order (exchange) #Runge–Kutta methods

paper · pdf · doi:10.1017/s1446788700023387

crossref issued 1964/05/01 · crossref published 1964/05/01 · crossref published-print 1964/05/01 · openalex publication_date 1964/05/01 · crossref published-online 2009/04/09 · crossref created 2009/04/14 · crossref deposited 2019/06/03 · openalex created_date 2025/10/10 · crossref indexed 2026/08/02 · openalex updated_date 2026/08/04

Abstract

An (explicit) Runge-Kutta process is a means of numerically solving the differential equation , at the point x = x 0 +h, where y , f may be vectors.

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• Runge–Kutta methods [wikipedia]