A family of embedded Runge-Kutta formulae

1980/03/01 by John R. Dormand, J.R. Dormand, P.J. Prince · 2,951 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Magnetic confinement fusion research #Mathematical analysis #Mathematics #Modeling and Simulation Systems #Numerical analysis #Numerical methods for differential equations #Order (exchange) #Principal (computer security) #Runge–Kutta methods #Stability (learning theory) #Statistics #Truncation (statistics) #Truncation error

paper · doi:10.1016/0771-050x(80)90013-3

published in Journal of Computational and Applied Mathematics 6(1), 19-26 (Elsevier BV)

crossref issued 1980/03/01 · crossref published 1980/03/01 · crossref published-print 1980/03/01 · openalex publication_date 1980/03/01 · crossref created 2003/04/07 · crossref deposited 2020/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06 · crossref indexed 2026/08/07

Citations

• New Runge-Kutta algorithms for numerical simulation in dynamical astronomy
• On Runge-Kutta processes of high order
• Coefficients for the study of Runge-Kutta integration processes

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