Continuous approximation with embedded Runge-Kutta methods

DOI10.1016/S0168-9274(96)00025-6zbMath0871.65077OpenAlexW2068884446MaRDI QIDQ5961733

J. R. Dormand, J. P. Gilmore, T. S. Baker, P. J. Prince

Publication date: 21 April 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00025-6

zbMATH Keywords

algorithmsnumerical testscontinuous approximationglobal errornon-stiffRunge-Kutta pairs

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

Runge-Kutta interpolants for high precision computations, Nested implicit Runge-Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations, Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs, Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes, The performance of the \(N\)-body integrator SSS, Continuous approximation with embedded Runge-Kutta-Nyström methods, Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations

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